Series for 11-digit numbers
There is one Kaprekar Constant for 11-digit numbers - 86431976532. And there are two series -
88431976512 -> 87641975322 -> 86541975432 -> 86420987532 -> 96641975331 -> repeat
87331976622 -> 86542965432 -> 76320987633 -> 96442965531 -> 87320987622 -> 96653954331 -> 86330986632 -> 96532966431 -> repeat
Series for 12-digit numbers
There are five Kaprekar Constants for 12-digit numbers - 975330866421, 633331766664, 555499994445, 997530864201 and 999750842001. And there are eleven series -
865332666432 -> 643330866654 -> 833320876662 -> repeat
865532664432 -> 643310886654 -> 873320876622 -> repeat
865552644432 -> 643110888654 -> 877320876222 -> repeat
876532664322 -> 654330866544 -> 833210887662 -> repeat
876552644322 -> 654310886544 -> 873210887622 -> repeat
863330866632 -> 863332666632 -> 643332666654 -> 433320876666 -> 853331766642 -> 753330866643 -> 843330866652 -> repeat
977510884221 -> 977550844221 -> 975510884421 -> repeat
977530864221 -> 975530864421 -> 975310886421 -> repeat
877652643222 -> 655430865444 -> 832110888762 -> repeat
977750842221 -> 975550844421 -> 975110888421 -> repeat
997750842201 -> 997550844201 -> 997510884201 -> repeat
Series for 13-digit numbers
There is one Kaprekar Constant for 13-digit numbers - 8643319766532. And there are four series -
8764209875322 -> 9665419754331 -> 8843209876512 -> 9766419753321 -> 8854319765412 -> repeat
8643209876532 -> 9664319765331 -> 8843319766512 -> 8764319765322 -> 8654319765432 -> repeat
8733209876622 -> 9665429654331 -> repeat
8654209875432 -> 9664209875331 -> 9864319765311 -> 8874319765212 -> 8765419754322 -> repeat
Series for 14-digit numbers
There are six Kaprekar Constants for 14-digit numbers - 97755108844221, 97533308666421, 63333317666664, 99753308664201, 99975308642001 and 99997508420001. And there are twenty-one series -
86533326666432 -> 64333308666654 -> 83333208766662 -> repeat
86333308666632 -> 86333326666632 -> 64333326666654 -> 43333208766666 -> 85333317666642 -> 75333308666643 -> 84333308666652 -> repeat
86555526444432 -> 64311108888654 -> 87773208762222 -> repeat
86553326664432 -> 64333108866654 -> 87333208766622 -> repeat
87776526432222 -> 65554308654444 -> 83211108888762 -> repeat
97775308642221 -> 97555308644421 -> 97531108886421 -> repeat
87765326643222 -> 65543308665444 -> 83321108887662 -> repeat
97753308664221 -> 97553308664421 -> 97533108866421 -> repeat
97753108864221 -> 97755308644221 -> 97553108864421 -> repeat
87653326664322 -> 65433308666544 -> 83332108876662 -> repeat
86555326644432 -> 64331108886654 -> 87733208766222 -> repeat
87655326644322 -> 65433108866544 -> 87332108876622 -> repeat
97755508444221 -> 97551108884421 -> 97775108842221 -> repeat
97777508422221 -> 97555508444421 -> 97511108888421 -> repeat
87655526444322 -> 65431108886544 -> 87732108876222 -> repeat
65543108865444 -> 87321108887622 -> 87765526443222 -> repeat
97775508442221 -> 97555108844421 -> 97751108884221 -> repeat
99775308642201 -> 99755308644201 -> 99753108864201 -> repeat
99775108842201 -> 99775508442201 -> 99755108844201 -> repeat
99777508422201 -> 99755508444201 -> 99751108884201 -> repeat
99977508422001 -> 99975508442001 -> 99975108842001 -> repeat
Series for 15-digit numbers
There are two Kaprekar Constants for 15-digit numbers - 864333197666532 and 555549999944445. And there are six series -
976654197543321 -> 885432098765412 -> 976642098753321 -> 986543197654311 -> 887432098765212 -> repeat
865433197665432 -> 864332098766532 -> 966433197665331 -> 884333197666512 -> 876433197665322 -> repeat
966432098765331 -> 986433197665311 -> 887433197665212 -> 876543197654322 -> 865432098765432 -> repeat
987643197653211 -> 887543197654212 -> 876542098754322 -> 966542098754331 -> 986432098765311 -> repeat
966543197654331 -> 884332098766512 -> 976643197653321 -> 885433197665412 -> 876432098765322 -> repeat
873332098766622 -> 966543296654331 -> repeat
Series for 16-digit numbers
There are eight Kaprekar Constants for 16-digit numbers - 9775531088644221, 6333333176666664, 9753333086666421, 9977551088442201, 9975333086664201, 9997533086642001, 9999753086420001 and 9999975084200001. And there are thirty-eight series -
8765533266644322 -> 6543331088666544 -> 8733321088766622 -> repeat
8655333266664432 -> 6433331088666654 -> 8733332087666622 -> repeat
8655555264444432 -> 6431111088888654 -> 8777732087622222 -> repeat
8655533266644432 -> 6433311088866654 -> 8773332087666222 -> repeat
8633333086666632 -> 8633333266666632 -> 6433333266666654 -> 4333332087666666 -> 8533333176666642 -> 7533333086666643 -> 8433333086666652 -> repeat
9777533086642221 -> 9755533086644421 -> 9753311088866421 -> repeat
8653333266666432 -> 6433333086666654 -> 8333332087666662 -> repeat
9775533086644221 -> 9755331088664421 -> 9775331088664221 -> repeat
8776553266443222 -> 6554331088665444 -> 8733211088876622 -> repeat
8655553266444432 -> 6433111088886654 -> 8777332087662222 -> repeat
9775551088444221 -> 9775511088844221 -> 9777551088442221 -> repeat
9777755084422221 -> 9755551088444421 -> 9775111088884221 -> repeat
8765333266664322 -> 6543333086666544 -> 8333321088766662 -> repeat
9775555084444221 -> 9755111088884421 -> 9777751088422221 -> repeat
8777655264432222 -> 6555431088654444 -> 8732111088887622 -> repeat
8765555264444322 -> 6543111088886544 -> 8777321088762222 -> repeat
9753331088666421 -> 9775333086664221 -> 9755333086664421 -> repeat
8776533266643222 -> 6554333086665444 -> 8333211088876662 -> repeat
8765553266444322 -> 6543311088866544 -> 8773321088766222 -> repeat
9775311088864221 -> 9777553086442221 -> 9755531088644421 -> repeat
6555543086544444 -> 8321111088888762 -> 8777765264322222 -> repeat
9777531088642221 -> 9775553086444221 -> 9755311088864421 -> repeat
8777653266432222 -> 6555433086654444 -> 8332111088887662 -> repeat
9753111088886421 -> 9777753086422221 -> 9755553086444421 -> repeat
6554311088865444 -> 8773211088876222 -> 8776555264443222 -> repeat
8764421997755322 -> 8765431997654322 -> repeat
9755555084444421 -> 9751111088888421 -> 9777775084222221 -> repeat
9777555084442221 -> 9755511088844421 -> 9777511088842221 -> repeat
9977753086422201 -> 9975553086444201 -> 9975311088864201 -> repeat
9977531088642201 -> 9977553086442201 -> 9975531088644201 -> repeat
9977775084222201 -> 9975555084444201 -> 9975111088884201 -> repeat
9977755084422201 -> 9975551088444201 -> 9977511088842201 -> repeat
9977555084442201 -> 9975511088844201 -> 9977751088422201 -> repeat
9977533086642201 -> 9975533086644201 -> 9975331088664201 -> repeat
9997753086422001 -> 9997553086442001 -> 9997531088642001 -> repeat
9997751088422001 -> 9997755084422001 -> 9997551088442001 -> repeat
9997775084222001 -> 9997555084442001 -> 9997511088842001 -> repeat
9999775084220001 -> 9999755084420001 -> 9999751088420001 -> repeat
Series for 17-digit numbers
There are two Kaprekar Constants for 17-digit numbers - 98765420987543211 and 86433331976666532. And there are seven series -
97665431976543321 -> 88543320987665412 -> 97664320987653321 -> 98654331976654311 -> 88743320987665212 -> repeat
98765431976543211 -> 88754320987654212 -> 97665420987543321 -> 98654320987654311 -> 98764320987653211 -> repeat
98764331976653211 -> 88754331976654212 -> 87654320987654322 -> 96654320987654331 -> 98643320987665311 -> repeat
87643320987665322 -> 96654331976654331 -> 88433320987666512 -> 97664331976653321 -> 88543331976665412 -> repeat
86543320987665432 -> 96643320987665331 -> 98643331976665311 -> 88743331976665212 -> 87654331976654322 -> repeat
87333320987666622 -> 96654332966654331 -> repeat
86433320987666532 -> 96643331976665331 -> 88433331976666512 -> 87643331976665322 -> 86543331976665432 -> repeat
Series for 18-digit numbers
There are twelve Kaprekar Constants for 18-digit numbers - 886644219977553312, 977553310886644221, 975333330866666421, 633333331766666664, 555554999999444445, 997755310886442201, 997533330866664201, 999775510884422001, 999753330866642001, 999975330866420001, 999997530864200001 and 999999750842000001. And there are sixty-one series -
975533110888664421 -> 977753310886642221 -> 977555330866444221 -> repeat
865555552644444432 -> 643111110888888654 -> 877777320876222222 -> repeat
877776532664322222 -> 655554330866544444 -> 833211110888887662 -> repeat
877655332666443222 -> 655433310886665444 -> 873332110888766622 -> repeat
877777652643222222 -> 655555430865444444 -> 832111110888888762 -> repeat
877765552644432222 -> 655543110888654444 -> 877321110888876222 -> repeat
877765332666432222 -> 655543330866654444 -> 833321110888876662 -> repeat
865333332666666432 -> 643333330866666654 -> 833333320876666662 -> repeat
863333330866666632 -> 863333332666666632 -> 643333332666666654 -> 433333320876666666 -> 853333331766666642 -> 753333330866666643 -> 843333330866666652 -> repeat
877655532664443222 -> 655433110888665444 -> 877332110888766222 -> repeat
977753330866642221 -> 975553330866644421 -> 975333110888666421 -> repeat
876553332666644322 -> 654333310886666544 -> 873333210887666622 -> repeat
865533332666664432 -> 643333310886666654 -> 873333320876666622 -> repeat
876533332666664322 -> 654333330866666544 -> 833333210887666662 -> repeat
865553332666644432 -> 643333110888666654 -> 877333320876666222 -> repeat
977555510884444221 -> 977551110888844221 -> 977775510884422221 -> repeat
865555332666444432 -> 643331110888866654 -> 877733320876662222 -> repeat
977533310886664221 -> 977553330866644221 -> 975533310886664421 -> repeat
977755530864442221 -> 975553110888644421 -> 977753110888642221 -> repeat
977555550844444221 -> 975511110888884421 -> 977777510884222221 -> repeat
977777530864222221 -> 975555530864444421 -> 975311110888886421 -> repeat
977531110888864221 -> 977775530864422221 -> 975555310886444421 -> repeat
877765532664432222 -> 655543310886654444 -> 873321110888876622 -> repeat
977755510884442221 -> 977555110888444221 -> 977755110888442221 -> repeat
876555552644444322 -> 654311110888886544 -> 877773210887622222 -> repeat
876555332666444322 -> 654333110888666544 -> 877333210887666222 -> repeat
877653332666643222 -> 655433330866665444 -> 833332110888766662 -> repeat
876555532664444322 -> 654331110888866544 -> 877733210887662222 -> repeat
977533330866664221 -> 975533330866664421 -> 975333310886666421 -> repeat
865555532664444432 -> 643311110888886654 -> 877773320876622222 -> repeat
977555310886444221 -> 977553110888644221 -> 977755310886442221 -> repeat
977533110888664221 -> 977755330866442221 -> 975553310886644421 -> repeat
977775110888422221 -> 977755550844442221 -> 975551110888844421 -> repeat
655554310886544444 -> 873211110888887622 -> 877776552644322222 -> repeat
655431110888865444 -> 877732110888762222 -> 877655552644443222 -> repeat
975531110888864421 -> 977775310886422221 -> 977555530864444221 -> repeat
977775550844422221 -> 975555110888444421 -> 977751110888842221 -> repeat
975331110888866421 -> 977775330866422221 -> 975555330866444421 -> repeat
975555510884444421 -> 977511110888884221 -> 977777550844222221 -> repeat
975111110888888421 -> 977777750842222221 -> 975555550844444421 -> repeat
997775330866422201 -> 997555330866444201 -> 997533110888664201 -> repeat
997777550844222201 -> 997555510884444201 -> 997751110888842201 -> repeat
997775530864422201 -> 997555310886444201 -> 997753110888642201 -> repeat
997775310886422201 -> 997755530864442201 -> 997553110888644201 -> repeat
997777530864222201 -> 997555530864444201 -> 997531110888864201 -> repeat
997777750842222201 -> 997555550844444201 -> 997511110888884201 -> repeat
997755510884442201 -> 997755110888442201 -> 997775510884422201 -> repeat
997775550844422201 -> 997555110888444201 -> 997775110888422201 -> repeat
997755550844442201 -> 997551110888844201 -> 997777510884222201 -> repeat
997753310886642201 -> 997755330866442201 -> 997553310886644201 -> repeat
997753330866642201 -> 997553330866644201 -> 997533310886664201 -> repeat
999777530864222001 -> 999755530864442001 -> 999753110888642001 -> repeat
999775310886422001 -> 999775530864422001 -> 999755310886442001 -> repeat
999777750842222001 -> 999755550844442001 -> 999751110888842001 -> repeat
999777550844222001 -> 999755510884442001 -> 999775110888422001 -> repeat
999775550844422001 -> 999755110888442001 -> 999777510884222001 -> repeat
999775330866422001 -> 999755330866442001 -> 999753310886642001 -> repeat
999977530864220001 -> 999975530864420001 -> 999975310886420001 -> repeat
999977510884220001 -> 999977550844220001 -> 999975510884420001 -> repeat
999977750842220001 -> 999975550844420001 -> 999975110888420001 -> repeat
999997750842200001 -> 999997550844200001 -> 999997510884200001 -> repeat
Series for 19-digit numbers
There are three Kaprekar Constants for 19-digit numbers - 9876543209876543211, 8643333319766666532 and 9987654209875432101. And there are eight series -
9766433209876653321 -> 9865433319766654311 -> 8874333209876665212 -> 9766543319766543321 -> 8854333209876665412 -> repeat
9876543319766543211 -> 8875433209876654212 -> 9766543209876543321 -> 9865433209876654311 -> 9876433209876653211 -> repeat
9876542109887543211 -> 9877654209875432211 -> 9876554209875443211 -> repeat
9766433319766653321 -> 8854333319766665412 -> 8764333209876665322 -> 9665433319766654331 -> 8843333209876666512 -> repeat
9664333319766665331 -> 8843333319766666512 -> 8764333319766665322 -> 8654333319766665432 -> 8643333209876666532 -> repeat
9664333209876665331 -> 9864333319766665311 -> 8874333319766665212 -> 8765433319766654322 -> 8654333209876665432 -> repeat
8733333209876666622 -> 9665433329666654331 -> repeat
8875433319766654212 -> 8765433209876654322 -> 9665433209876654331 -> 9864333209876665311 -> 9876433319766653211 -> repeat
Series for 20-digit numbers
There are fourteen Kaprekar Constants for 20-digit numbers - 88664432199776553312, 97755333108866644221, 63333333317666666664, 97533333308666666421, 97775551108884442221, 99775533108866442201, 99753333308666664201, 99977553108864422001, 99975333308666642001, 99997755108844220001, 99997533308666420001, 99999753308664200001, 99999975308642000001 and 99999997508420000001. And there are ninety-six series -
87776553326664432222 -> 65554333108866654444 -> 87333211108888766622 -> repeat
86533333326666666432 -> 64333333308666666654 -> 83333333208766666662 -> repeat
97753333108866664221 -> 97755333308666644221 -> 97553333108866664421 -> repeat
86555555526444444432 -> 64311111108888888654 -> 87777773208762222222 -> repeat
97775553308664442221 -> 97555331108886644421 -> 97775331108886642221 -> repeat
86555553326664444432 -> 64333111108888866654 -> 87777333208766622222 -> repeat
86553333326666664432 -> 64333333108866666654 -> 87333333208766666622 -> repeat
88665442199775543312 -> 88664422099877553312 -> 98666442199775533311 -> 88864432199776553112 -> 88766442199775533212 -> repeat
86333333308666666632 -> 86333333326666666632 -> 64333333326666666654 -> 43333333208766666666 -> 85333333317666666642 -> 75333333308666666643 -> 84333333308666666652 -> repeat
97777755308644222221 -> 97555553108864444421 -> 97753111108888864221 -> repeat
87765555326644443222 -> 65543311108888665444 -> 87773321108887662222 -> repeat
97775533308666442221 -> 97555333108866644421 -> 97753331108886664221 -> repeat
86555333326666644432 -> 64333331108886666654 -> 87733333208766666222 -> repeat
87777765526443222222 -> 65555543108865444444 -> 87321111108888887622 -> repeat
97775333108866642221 -> 97755533308666444221 -> 97553331108886664421 -> repeat
87765533326666443222 -> 65543333108866665444 -> 87333321108887666622 -> repeat
87765333326666643222 -> 65543333308666665444 -> 83333321108887666662 -> repeat
87655553326664444322 -> 65433311108888666544 -> 87773332108876662222 -> repeat
97755555108844444221 -> 97755111108888844221 -> 97777755108844222221 -> repeat
97755533108866444221 -> 97755331108886644221 -> 97775533108866442221 -> repeat
87653333326666664322 -> 65433333308666666544 -> 83333332108876666662 -> repeat
97755555508444444221 -> 97551111108888884421 -> 97777775108842222221 -> repeat
97775553108864442221 -> 97755531108886444221 -> 97775531108886442221 -> repeat
97755553108864444221 -> 97755311108888644221 -> 97777553108864422221 -> repeat
87655533326666444322 -> 65433331108886666544 -> 87733332108876666222 -> repeat
87776555526444432222 -> 65554311108888654444 -> 87773211108888762222 -> repeat
97777775508442222221 -> 97555555108844444421 -> 97751111108888884221 -> repeat
87777653326664322222 -> 65555433308666544444 -> 83332111108888876662 -> repeat
87655555526444444322 -> 65431111108888886544 -> 87777732108876222222 -> repeat
87655555326644444322 -> 65433111108888866544 -> 87777332108876622222 -> repeat
87765553326664443222 -> 65543331108886665444 -> 87733321108887666222 -> repeat
86555555326644444432 -> 64331111108888886654 -> 87777733208766222222 -> repeat
97553111108888864421 -> 97777753108864222221 -> 97755555308644444221 -> repeat
97777555108844422221 -> 97755551108884444221 -> 97775511108888442221 -> repeat
97553311108888664421 -> 97777533108866422221 -> 97755553308664444221 -> repeat
87655333326666644322 -> 65433333108866666544 -> 87333332108876666622 -> repeat
97753311108888664221 -> 97777553308664422221 -> 97555533108866444421 -> repeat
97555533308666444421 -> 97533311108888666421 -> 97777533308666422221 -> repeat
87777765326643222222 -> 65555543308665444444 -> 83321111108888887662 -> repeat
97531111108888886421 -> 97777775308642222221 -> 97555555308644444421 -> repeat
97777551108884422221 -> 97775555108844442221 -> 97755511108888444221 -> repeat
65555554308654444444 -> 83211111108888888762 -> 87777776526432222222 -> repeat
97777531108886422221 -> 97775555308644442221 -> 97555311108888644421 -> repeat
65555431108886544444 -> 87732111108888876222 -> 87777655526444322222 -> repeat
65543111108888865444 -> 87777321108887622222 -> 87765555526444443222 -> repeat
65555433108866544444 -> 87332111108888876622 -> 87777655326644322222 -> repeat
65554331108886654444 -> 87733211108888766222 -> 87776555326644432222 -> repeat
87776533326666432222 -> 65554333308666654444 -> 83333211108888766662 -> repeat
86555533326666444432 -> 64333311108888666654 -> 87773333208766662222 -> repeat
97777555308644422221 -> 97555531108886444421 -> 97775311108888642221 -> repeat
97777755508444222221 -> 97555551108884444421 -> 97775111108888842221 -> repeat
97533111108888866421 -> 97777753308664222221 -> 97555553308664444421 -> repeat
97553333308666664421 -> 97533333108866666421 -> 97753333308666664221 -> repeat
97555511108888444421 -> 97777511108888422221 -> 97777555508444422221 -> repeat
97775333308666642221 -> 97555333308666644421 -> 97533331108886666421 -> repeat
97777777508422222221 -> 97555555508444444421 -> 97511111108888888421 -> repeat
97775555508444442221 -> 97555111108888844421 -> 97777751108884222221 -> repeat
99777555308644422201 -> 99755531108886444201 -> 99777531108886422201 -> repeat
99777755108844222201 -> 99775555108844442201 -> 99775511108888442201 -> repeat
99777775308642222201 -> 99755555308644444201 -> 99753111108888864201 -> repeat
99777553308664422201 -> 99755533108866444201 -> 99775331108886642201 -> repeat
99777533308666422201 -> 99755533308666444201 -> 99753331108886664201 -> repeat
99777533108866422201 -> 99775553308664442201 -> 99755331108886644201 -> repeat
99775311108888642201 -> 99777755308644222201 -> 99755553108864444201 -> repeat
99777555108844422201 -> 99775551108884442201 -> 99777551108884422201 -> repeat
99777777508422222201 -> 99755555508444444201 -> 99751111108888884201 -> repeat
99777775508442222201 -> 99755555108844444201 -> 99775111108888842201 -> repeat
99777755508444222201 -> 99755551108884444201 -> 99777511108888422201 -> repeat
99777555508444422201 -> 99755511108888444201 -> 99777751108884222201 -> repeat
99775555508444442201 -> 99755111108888844201 -> 99777775108842222201 -> repeat
99777553108864422201 -> 99775553108864442201 -> 99775531108886442201 -> repeat
99777753108864222201 -> 99775555308644442201 -> 99755311108888644201 -> repeat
99777753308664222201 -> 99755553308664444201 -> 99753311108888664201 -> repeat
99775533308666442201 -> 99755333108866644201 -> 99775333108866642201 -> repeat
99775333308666642201 -> 99755333308666644201 -> 99753333108866664201 -> repeat
99977753308664222001 -> 99975553308664442001 -> 99975331108886642001 -> repeat
99977775508442222001 -> 99975555108844442001 -> 99977511108888422001 -> repeat
99977755308644222001 -> 99975553108864442001 -> 99977531108886422001 -> repeat
99977753108864222001 -> 99977555308644422001 -> 99975531108886442001 -> repeat
99977775308642222001 -> 99975555308644442001 -> 99975311108888642001 -> repeat
99977777508422222001 -> 99975555508444442001 -> 99975111108888842001 -> repeat
99977555108844422001 -> 99977551108884422001 -> 99977755108844222001 -> repeat
99977755508444222001 -> 99975551108884442001 -> 99977751108884222001 -> repeat
99977555508444422001 -> 99975511108888442001 -> 99977775108842222001 -> repeat
99977533108866422001 -> 99977553308664422001 -> 99975533108866442001 -> repeat
99977533308666422001 -> 99975533308666442001 -> 99975333108866642001 -> repeat
99997775308642220001 -> 99997555308644420001 -> 99997531108886420001 -> repeat
99997753108864220001 -> 99997755308644220001 -> 99997553108864420001 -> repeat
99997777508422220001 -> 99997555508444420001 -> 99997511108888420001 -> repeat
99997775508442220001 -> 99997555108844420001 -> 99997751108884220001 -> repeat
99997755508444220001 -> 99997551108884420001 -> 99997775108842220001 -> repeat
99997753308664220001 -> 99997553308664420001 -> 99997533108866420001 -> repeat
99999775308642200001 -> 99999755308644200001 -> 99999753108864200001 -> repeat
99999775108842200001 -> 99999775508442200001 -> 99999755108844200001 -> repeat
99999777508422200001 -> 99999755508444200001 -> 99999751108884200001 -> repeat
99999977508422000001 -> 99999975508442000001 -> 99999975108842000001 -> repeat
More Kaprekar Series Numbers: (2-digit to 10-digit).