Base 24: Maximum Iteration Sequences: Full Cycle

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV

Color Key
OrangeFixed Pointnumber that becomes itself after one iteration
GreenFinal Numbersall numbers eventually reached, from all cycles
PurpleCycle Startiterations include entry into cycle, assuming it repeats
RedFull Cycleiterations include entire cycle, proving it repeats
BlueStart Numberssubset (optimization) of all numbers; minimal for full coverage
GrayNo Resultsany calculation that has no results

Digits Max Steps Max Step Example
Full Cycle
12 max steps100
212 max steps20 → 1M → K3G78F6HAD2LI5CB0NM1K3
314 max steps100 → 0NN → MN1 → LN2 → KN3 → JN4 → IN5 → HN6 → GN7 → FN8 → EN9 → DNA → CNB → BNCBNC
421 max steps3006 → 62KI → IBB6 → BNNC → CACC → 1NNM → M0M2 → MJ32 → KF74 → G7F896GFA5HEC3JCFNN8F7F985HGC7FC7NNGG6G8A7FE83JGG7F8
517 max steps10000 → 0NNNN → MNNN1 → M0NM2 → NJN31 → MJN32 → LIN43 → KGN64 → JDN95 → I9ND6 → H8NE7 → G8NE8 → F7NF9 → G5NH8 → I8NE6 → H9ND7 → G7NF8G7NF8
657 max steps900099 → 998EEF → 754IIH → ED9DAA → 532KKJ → IHD966 → CB3JCC → G0NNM8 → NF5H81 → MC6GB2 → KA0MD4 → MG2K72 → KI8E54 → GD5HA8 → C82KFC → I6NNG6 → HH1L67 → KB9DC4 → G40MJ8 → MF7F82 → K86GF4 → GA6GD8 → A82KFE → I73JG6 → GC8EB8 → 860MHG → MB7FC2 → K80MF4 → MG6G72 → KA8ED4 → G62KH8 → IB7FC6 → C80MFC → M6NNG2 → LH5H63 → ICACB6 → C20MLC → MINN42 → LJ3J43 → IGE876 → C95HEC → C4NNIC → JB5HC5 → EC0MBA → M40MJ2 → MKE832 → KH5H64 → GCACB8 → 820MLG → MJ7F42 → KF7F84 → G86GF8 → A86GFE → A73JGEG93JE8G84IF8E86GFAA73JGE
733 max steps8000008 → 87NNNFG → GF7NF88 → G86NGF8 → H87NFF7 → GA6NGD8 → H85NHF7 → IA8NED6 → HA3NJD7 → KC6NGB4 → JE4NI95 → JE8NE95 → IB4NIC6 → JC6NGB5 → ID4NIA6JC7NFB5IC3NJB6KD6NGA4JE5NH95IE7NF96HB5NHC7IA5NHD6IC6NGB6HC4NIB7JB5NHC5IE5NH96IC7NFB6HB3NJC7KC5NHB4JF5NH85IE8NE96HA4NID7JB6NGC5ID4NIA6
8128 max steps3000000A → A2NNNNKE → LD92KEA3 → JH52KI65 → IEDACA96 → C531LKIC → KHCNNA64 → JHA4ID65 → FDB2KCA9 → I630MKH6 → MHCACB62 → KB20MLC4 → MJG0M742 → MKF8E832 → KH75HG64 → GCB8ECB8 → 8610MMHG → MLB7FC22 → KJ80MF44 → MGF6G872 → KA96GED4 → GA52KID8 → ID82KFA6 → IC72KGB6 → IC90MEB6 → MC50MIB2 → MKD0MA32 → MKH2K632 → KIHAC654 → GDB1LCA8 → K830MKF4 → MHG6G762 → KBA8EDC4 → G630MKH8 → MHB7FC62 → KB80MFC4 → MG70MG72 → MK98EE32 → KH64IH64 → GEBACC98 → 8520MLIG → MJD7FA42 → KF82KF84 → IG76GG76 → CA98EEDC → 652NNKII → LIDNN953 → KIC4IB54 → GED0MA98 → M852KIF2 → KID6GA54 → GDA2KDA8 → I832KKF6 → IHC6GB66 → CBA0MDCC → M30NNMK2 → NLJ1L421 → MKJE8432 → KHF5H864 → GCB6GCB8 → A810MMFE → ML73JG22 → KJG8E744 → GF95HE88 → C874IGFC → E96NNGEA → HE5NNH97 → IG82KF76 → IC96GEB6 → CA50MIDC → MD2NNKA2 → LLC6GB23 → JIA0MD55 → MED2KA92 → KI52KI54 → IGDCAA76 → C931LKEC → KH4NNI64 → JJE0M945 → MFE4I982 → KE74IG94 → GE94IE98 → E854IIFA → ED73JGAA → G942KJE8 → IF84IF86 → EC76GGBA → A940MJEE → MF53JI82 → KGD6GA74 → GA92KED8 → I852KIF6 → IDC6GBA6 → CA30MKDC → MH2NNK62 → LLG2K723 → JJH8E645 → FEB5HC99 → C650MIHC → MDANNCA2 → LDC0MBA3 → MI30MK52 → MKHCA632 → KHB1LC64 → KGB0MC74 → MG90ME72 → MK94IE32 → KHE4I964 → GEB4IC98E850MIFAMD73JGA2KG92KE74IG94IE76EC94IEBAE540MJIAMFD3JA82KG72KG74IG98EE76C964IHECEB4NNICAJD71LGA5KE92KE94IG54II76EDC8EBAA6430MKJIMHFBB862KB6NNGC4JH93JE65GEB4IC98
950 max steps100000056 → 650NNNMII → NIH3NJ651 → MKEBNB932 → LJB2NKC43 → LIG7NF753 → KGB8NEC74 → JD82NKFA5 → LFB4NIC83 → KHA3NJD64 → KGD6NGA74 → JE95NHE95 → IE84NIF96 → JCA5NHDB5 → IE71NLG96 → MFB6NGC82 → LG83NJF73 → KIC7NFB54 → JFB3NJC85 → KEB3NJC94 → KGA2NKD74 → LGD5NHA73 → KGA5NHD74 → JFA5NHD85IE94NIE96JC94NIEB5JE92NKE95LFA4NID83KHA4NID64JGC6NGB75ID94NIEA6JC93NJEB5KEA2NKD94LGB3NJC73KIC4NIB54JGD6NGA75ID95NHEA6IC83NJFB6KDA3NJDA4KG92NKE74LGD6NGA73KF95NHE84JF95NHE85IE95NHE96IC84NIFB6JCA3NJDB5KE91NLE94MHB4NIC62LIC5NHB53KGD5NHA74JFA5NHD85
10170 max steps1000001112 → 21110MMMMM → MLLLJ32222 → KJJJF74444 → GFFF7F8888 → 97776GGGGF → A9995HEEEE → C5553JIIIC → GDDCNNAAA8 → FD630MKHA9 → MHB62KHC62 → KIBB0MCC54 → MGD10MMA72 → MLK92KE322 → KJIH4I6544 → GFEDACA988 → 87531LKIGG → KHD97FEA64 → GB852KIFC8 → ID870MGFA6 → MC972KGEB2 → KI950MIE54 → MGDD4IAA72 → KE932KKE94 → IHG54II766 → EDCB8ECBAA → 64310MMKJI → MLHFBB8622 → KJB6NNGC44 → JJE83JF945 → GFE74IG988 → E9874IGFEA → E9753JIGEA → GD953JIEA8 → GD852KIFA8 → ID872KGFA6 → IC972KGEB6 → IC950MIEB6 → MDC50MIBA2 → MKD30MKA32 → MKHH2K6632 → KIHBACC654 → GDB20MLCA8 → MJ830MKF42 → MKHF6G8632 → KHBA6GDC64 → GBA30MKDC8 → MH830MKF62 → MKHB6GC632 → KHBA0MDC64 → MGB30MKC72 → MKH90ME632 → MKHB4IC632 → KHEB0MC964 → MGB50MIC72 → MKD90MEA32 → MKH52KI632 → KIHDACA654 → GDB31LKCA8 → KH830MKF64 → MHGB6GC762 → KBA90MEDC4 → MG530MKI72 → MKHD8EA632 → KHB62KHC64 → IGBB0MCC76 → MC910MMEB2 → MLK50MI322 → MKJHCA6432 → KHFB1LC864 → KGB70MGC74 → MG990MEE72 → MK954IIE32 → KHED4IA964 → GEB52KIC98 → ID850MIFA6 → MDC72KGBA2 → KI930MKE54 → MHGD4IA762 → KEB92KEC94 → IG550MII76 → MDDC8EBAA2 → K6330MKKH4 → MHHGAC7662 → KBB91LECC4 → KG510MMI74 → MLGD8EA722 → KJ962KHE44 → IGFB4IC876 →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
1161 max steps2000000048K → K841NNNLJF4 → MJJD4NIA442 → LIFF7NF8853 → KGB76NGGC74 → JE994NIEE95 → JE954NIIE95 → JED94NIEA95 → JE953NJIE95 → KEE94NIE994 → JG954NIIE75 → JEDB6NGCA95 → ID741NLJGA6 → MHDB5NHCA62 → LHB71NLGC63 → MIFA4NID852 → LIDA4NIDA53 → KHD82NKFA64 → LGE94NIE973 → KHB74NIGC64 → JGCA4NIDB75 → JEB61NLHC95 → MGD82NKFA72 → LKD84NIFA33 → KIGA4NID754 → JGDB5NHCA75 → IEA61NLHD96 → MFC83NJFB82 → LJB73NJGC43 → KIFC4NIB854 → JGDA3NJDA75 → KEC62NKHB94 → LGE82NKF973 → LID85NHFA53 → KGD94NIEA74 → JGB73NJGC75 → KEC94NIEB94 → JG952NKIE75 → LFEB6NGC983 → KF862NKHF84 → LGE96NGE973 → KF974NIGE84 → JGB85NHFC75 → IEA83NJFD96 → KDA63NJHDA4 → KGD72NKGA74LGD95NHEA73KGA73NJGD74KGC95NHEB74JFA72NKGD85LFC84NIFB83KHA73NJGD64KGDA5NHDA74JFA62NKHD85LFD94NIEA83KHA63NJHD64KGDB6NGCA74JE961NLHE95MGD84NIFA72LIB84NIFC53KHDA3NJDA64KGD72NKGA74
12236 max steps200000024NNN → NNN421LLJ001 → NNMKJE843101 → NMLHF5H86211 → MLJCB6GCB422 → KJFA10MMD844 → MLGF72KG8722 → KJI996GEE544 → GFDA54IIDA88 → ED8732KKGFAA → IH9742KJGE66 → IFCB94IECB86 → EC7510MMIGBA → MLD940MJEA22 → MKJF52KI8432 → KIHFD6GA8654 → GDBA72KGDCA8 → I98330MKKFE6 → MHHC74IGB662 → KEBB90MECC94 → MG5510MMII72 → MLKDD8EAA322 → KJH632KKH644 → IHGFBACC8766 → CB9720MLGECC → MJ950NNMIE42 → NLIHA3JD6521 → MJGDB2KCA742 → KIF930MKE854 → MHGD74IGA762 → KEB992KEEC94 → IG5550MIII76 → MDDDC8EBAAA2 → K63330MKKKH4 → MHHHGAC76662 → KBBB91LECCC4 → KG5110MMMI74 → MLLGD8EA7222 → KJJ962KHE444 → IGFFB4IC8876 → EC9770MGGEBA → M99540MJIEE2 → MKFD54IIA832 → KHED72KGA964 → IGB952KIEC76 → IDC950MIEBA6 → MDC530MKIBA2 → MKHD30MKA632 → MKHHB2KC6632 → KIHBB0MCC654 → MGDB10MMCA72 → MLK930MKE322 → MKJHH4I66432 → KHFEBACC9864 → GB7520MLIGC8 → MJD980MFEA42 → MKF752KIG832 → KIHD96GEA654 → GDBA52KIDCA8 → ID8330MKKFA6 → MHHC72KGB662 → KIBB90MECC54 → MGD510MMIA72 → MLKD92KEA322 → KJIH52KI6544 → IGFDDACAA876 → C97331LKKGEC → KHH94NNIE664 → JJEC82KFB945 → IFE750MIG986 → MDC974IGEBA2 → KE9530MKIE94 → MHGD54IIA762 → KEDB92KECA94 → IG5530MKII76 → MHDDC8EBAA62 → KB6330MKKHC4 → MHHGB0MC7662 → MKBB90MECC32 → MKH510MMI632 → MLKHDACA6322 → KJHB31LKC644 → KHGFB0MC8764 → MGB970MGEC72 → MK9950MIEE32 → MKHD54IIA632 → KHEDB2KCA964 → IGB530MKIC76 → MHDC90MEBA62 → MKB530MKIC32 → MKHHD0MA6632 → MKHBB2KCC632 → KIHB10MMC654 → MLGDB0MCA722 → MKJ930MKE432 → MKHHF4I86632 → KHEBB6GCC964 → GBA510MMIDC8 → MLD830MKFA22 → MKJH72KG6432 → KIHFB8EC8654 → GDB760MHGCA8 → MB9830MKFEC2 →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
1353 max steps1000000000455 → 5540NNNNNMJIJ → NJII52NKI5541 → MLGEDCNAA9722 → LKE742NKJG933 → LIHGC6NGB7653 → KGCB94NIECB74 → JGB730NMKGC75 → NJFC94NIEB841 → MJFA62NKHD842 → LKGD94NIEA733 → KIGB73NJGC754 → KGEB94NIEC974 → JGB752NKIGC75 → LFEB94NIEC983 → KHA652NKIHD64 → LGFCB6NGCB873 → KF9840NMJFE84 → NIGB75NHGC751 → MIDA94NIEDA52 → LID942NKJEA53 → LIGE93NJE9753 → KIEB74NIGC954 → JGDB72NKGCA75 → LFC961NLHEB83 → MIF962NKHE852 → LKFC95NHEB833 → KIF962NKHE854 → LGFC95NHEB873 → KGA862NKHFD74 → LGEA84NIFD973 → KHB863NJHFC64 → KGDB93NJECA74 → KGC741NLJGB74 → MHGC94NIEB762 → LICA72NKGDB53 → LIFB61NLHC853 → MIGC93NJEB752 → LJEB72NKGC943 → LIGC72NKGB753 → LIFB94NIEC853 → KHDA62NKHDA64 → LGEB72NKGC973 → LID972NKGEA53 → LIFB73NJGC853 → KIEB83NJFC954 → KGEA62NKHD974 → LGEA73NJGD973 → KIC973NJGEB54 → KGEB72NKGC974LGD972NKGEA73LID973NJGEA53KIEB73NJGC954KGEB72NKGC974
14160 max steps30000000588889 → 9888852KIFFFFF → ID77775HGGGGA6 → DB99992KEEEECB → I555520MLIIII6 → MJDDDDBBAAAA42 → KF3332NNKKKK84 → LKHHGC4IB76633 → IHEBB90MECC966 → MCB5510MMIICB2 → MLKDD10MMAA322 → MLKJH32KK64322 → KJIHHFAC866544 → GFDBB71LGCCA88 → K987310MMKGFE4 → MLHG974IGE7622 → KJEB994IEEC944 → GFE5550MIII988 → MDDD874IGFAAA2 → KE97332KKKGE94 → IHHG954IIE7666 → EDCBB94IECCBAA → E543110MMMKJIA → MLLHFD3JA86222 → KJJGB72KGC7444 → IGFF990MEE8876 → MC97754IIGGEB2 → KED9950MIEEA94 → MGD5552KIIIA72 → KIDDD92KEAAA54 → IGD5332KKKIA76 → IHHDC92KEBA666 → ICBB530MKICCB6 → MHDC110MMMBA62 → MLLKB30MKC3222 → MKJJHH0M664432 → MKHFFBACC88632 → KHB7720MLGGC64 → MJGB990MEEC742 → MKF9550MIIE832 → MKHDD74IGAA632 → KHEB932KKEC964 → IHGB550MIIC766 → MDDCB90MECBAA2 → MK53310MMKKI32 → MLKHHHCA666322 → KJHBBB1LCCC644 → KGFB110MMMC874 → MLLG970MGE7222 → MKJJ994IEE4432 → KHFFE54II98864 → GEDB774IGGCA98 → E998530MKIFEEA → MHD7553JIIGA62 → KGDDB92KECAA74 → IG95330MKKIE76 → MHHDC94IEBA662 → KEBB530MKICC94 → MHGD510MMIA762 → MLKDB92KECA322 → KJIH530MKI6544 → MHGFDDACAA8762 → KB97331LKKGEC4 → KHHG950MIE7664 → MGDBB94IECCA72 → KE95310MMKIE94 → MLHGD54IIA7622 → KJEDB92KECA944 → IGF5530MKII876 → MHDDC96GEBAA62 → KBA5330MKKIDC4 → MHHGD30MKA7662 → MKHBB92KECC632 → KIHB510MMIC654 → MLGDDB0MCAA722 → MKJ9330MKKE432 → MKHHHF4I866632 → KHEBBB6GCCC964 → GBA5110MMMIDC8 → MLLD830MKFA222 → MKJJH72KG64432 → KIHFFB8EC88654 → GDB7760MHGGCA8 → MB99830MKFEEC2 → MKH7550MIIG632 → MKHDDB8ECAA632 → KHB6330MKKHC64 → MHHGBB0MCC7662 → MKBB910MMECC32 → MLKH510MMI6322 → MLKJHDACA64322 → KJHFB31LKC8644 → KHGFB70MGC8764 → MGB9970MGEEC72 → MK99550MIIEE32 → MKHDD54IIAA632 → KHEDB32KKCA964 → IHGB530MKIC766 → MHDCB90MECBA62 → MKB5310MMKIC32 → MLKHHD0MA66322 → MKJHBB2KCC6432 → KIHFB10MMC8654 → MLGDB70MGCA722 → MKJ9930MKEE432 → MKHHF54II86632 → KHEDBB6GCCA964 → GBA5310MMKIDC8 → MLHD830MKFA622 → MKJHB72KGC6432 → KIHFB90MEC8654 → MGDB750MIGCA72 → MKD9930MKEEA32 → MKHH552KII6632 → KIHDDBACCAA654 → GDB3320MLKKCA8 → MJHH830MKF6642 → MKHFBB6GCC8632 → KHBA710MMGDC64 → MLGB930MKEC722 → MKJH950MIE6432 → MKHFDB4ICA8632 → KHEB730MKGC964 → MHGB950MIEC762 → MKDB950MIECA32 → MKHD530MKIA632 → MKHHDB2KCA6632 → KIHBB30MKCC654 → MHGDB10MMCA762 → MLKB930MKEC322 → MKJHH50MI66432 → MKHFDBACCA8632 → KHB7320MLKGC64 → MJHGB90MEC7642 → MKFB950MIEC832 → MKHD750MIGA632 → MKHDB92KECA632 → KIHB530MKIC654 → MHGDDB0MCAA762 → MKB9330MKKEC32 → MKHHH50MI66632 → MKHDBBACCCA632 → KHB3210MMLKC64 → MLJHGB0MC76422 → MKJFB90MEC8432 → MKHF750MIG8632 → MKHDB96GECA632 → KHBA530MKIDC64 → MHGDB30MKCA762 → MKHB930MKEC632MKHHB50MIC6632MKHDBB0MCCA632MKHB310MMKC632MLKHHB0MC66322MKJHBB0MCC6432MKHFB10MMC8632MLKHB70MGC6322MKJHB90MEC6432MKHFB50MIC8632MKHDB70MGCA632MKHB930MKEC632