Base 24: Maximum Iteration Sequences: Cycle Start

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
Cycle Start
11 max steps10
22 max steps20 → 1M → K3
313 max steps100 → 0NN → MN1 → LN2 → KN3 → JN4 → IN5 → HN6 → GN7 → FN8 → EN9 → DNA → CNB → BNC
49 max steps3006 → 62KI → IBB6 → BNNC → CACC → 1NNM → M0M2 → MJ32 → KF74 → G7F8
516 max steps10000 → 0NNNN → MNNN1 → M0NM2 → NJN31 → MJN32 → LIN43 → KGN64 → JDN95 → I9ND6 → H8NE7 → G8NE8 → F7NF9 → G5NH8 → I8NE6 → H9ND7 → G7NF8
653 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 → A73JGE
714 max steps8000008 → 87NNNFG → GF7NF88 → G86NGF8 → H87NFF7 → GA6NGD8 → H85NHF7 → IA8NED6 → HA3NJD7 → KC6NGB4 → JE4NI95 → JE8NE95 → IB4NIC6 → JC6NGB5 → ID4NIA6
8108 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 → GEB4IC98
933 max steps20000000N → N1NNNNNL1 → MM1NNNL12 → MML0NM212 → NLKJN3321 → MLIGN6522 → LKGBNB733 → KID4NIA54 → JGD7NFA75 → IC94NIEB6 → JC92NKEB5 → LFA2NKD83 → LIC4NIB53 → KHD6NGA64 → JEB5NHC95 → IE82NKF96 → LEA5NHD93 → KG83NJF74 → KGC7NFB74 → JD93NJEA5 → KEA3NJD94 → KGA3NJD74 → KGC5NHB74 → JFA4NID85 → JEA4NID95 → JE93NJE95 → KEA4NID94 → JG93NJE75 → KEC6NGB94 → JE72NKG95 → LFC6NGB83 → KF83NJF84 → KGB6NGC74 → JE94NIE95
1089 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 → EC970MGEBA
1145 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 → KGD72NKGA74
12110 max steps40000007BBNN → NNBB73JGCC01 → NMG910MME711 → NLLL94IE2221 → MJJJE4I94442 → KFFFE4I98884 → GE7774IGGG98 → E99984IFEEEA → E75553JIIIGA → GDDD93JEAAA8 → G85332KKKIF8 → IHHD86GFA666 → CBBA72KGDCCC → I9310NNMMKE6 → NMJGB3JC7411 → MLGF90ME8722 → MKJ974IGE432 → KHFE94IE9864 → GEB754IIGC98 → ED9850MIFEAA → MD7542KJIGA2 → KIFD92KEA854 → IGD752KIGA76 → IDC992KEEBA6 → IC5530MKIIB6 → MHDDC0MBAA62 → MKB330MKKC32 → MKHHH0M66632 → MKHBBACCC632 → KHB210MMLC64 → MLJGB0MC7422 → MKJF90ME8432 → MKHF74IG8632 → KHEB96GEC964 → GBA550MIIDC8 → MDD830MKFAA2 → MKH732KKG632 → KIHHB8EC6654 → GDBB60MHCCA8 → MB8310MMKFC2 → MLKH70MG6322 → MKJHB8EC6432 → KHFB60MHC864 → MGBB70MGCC72 → MK9910MMEE32 → MLKH54II6322 → KJHEDACA9644 → GFB531LKIC88 → KHD870MGFA64 → MGB972KGEC72 → KI9950MIEE54 → MGDD54IIAA72 → KED932KKEA94 → IHG552KII766 → IDDCB8ECBAA6 → C63310MMKKHC → MLHHANNC6622 → LLGF74IG8723 → JIE996GEE955 → EDA554IIIDAA → EDD432KKJAAA → IHF432KKJ866 → IHFCB6GCB866 → CBA710MMGDCC → ML930NNMKE22 → NLKJC5HB4321 → MJHFC0MB8642 → MKFB70MGC832 → MKH970MGE632 → MKHB94IEC632 → KHEB50MIC964 → MGDB50MICA72 → MKD930MKEA32 → MKHH52KI6632 → KIHDBACCA654 → GDB320MLKCA8 → MJH830MKF642 → MKHFB6GC8632 → KHBA70MGDC64 → MGB930MKEC72 → MKH950MIE632 → MKHDB4ICA632 → KHEB30MKC964 → MHGB50MIC762 → MKDB90MECA32 → MKH530MKI632 → MKHHDACA6632 → KHBB31LKCC64 → KHGB10MMC764 → MLGB90MEC722 → MKJ950MIE432 → MKHFD4IA8632 → KHEB72KGC964 → IGB950MIEC76 → MDC950MIEBA2 → MKD530MKIA32 → MKHHD2KA6632 → KIHBB2KCC654 → IGDB10MMCA76 → MLC930MKEB22 → MKJH50MI6432 → MKHFDACA8632 → KHB731LKGC64 → KHGB90MEC764 → MGB950MIEC72 → MKD950MIEA32 → MKHD52KIA632 → KIHDB2KCA654 → IGDB30MKCA76 → MHC930MKEB62 → MKHB50MIC632
1349 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 → KGEB72NKGC974
14149 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 → MKHB930MKEC632