Base 26: 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 → 1O → M3
314 max steps100 → 0PP → OP1 → NP2 → MP3 → LP4 → KP5 → JP6 → IP7 → HP8 → GP9 → FPA → EPB → DPC → CPD
47 max steps300A → A2MG → K5J6 → FCCB → 3PPM → M2M4 → KH76 → E9FC
515 max stepsC0000 → BPPPE → EAPEC → F1PNB → OBPD2 → NCPC3 → MAPE4 → LBPD5 → K9PF6 → JAPE7 → I8PG8 → H9PF9 → G7PHA → I6PI8 → J9PF7 → I9PF8
665 max steps3000CL → LC2MD5 → KG0O96 → OE6IB2 → MC2MD4 → KI0O76 → OEAEB2 → M42ML4 → KIG876 → EB7HEC → A31NMG → MJ5J64 → IECCB8 → A2PPMG → NF5JA3 → KE4KB6 → GE2MBA → K62MJ6 → KECCB6 → E2PPMC → ND7HC3 → KA0OF6 → OE4KB2 → MG2M94 → KI6I76 → ECAEDC → 420ONM → OLH742 → MH9F84 → I95JG8 → EA6IFC → C51NKE → MF1NA4 → MI4K74 → IGAE98 → A73LIG → IB5JE8 → EA2MFC → K51NK6 → MFDBA4 → I51NK8 → MF9FA4 → I64KJ8 → GD9FCA → 750OKJ → OFBDA2 → M51NK4 → MIEA74 → IB3LE8 → IA2MF8 → KA4KF6 → GE4KBA → G62MJA → KD5JC6 → FD0OCB → O40OL2 → OMG832 → MJ7H64 → ID9FC8 → A60OJG → OD5JC2 → ME0OB4 → OI2M72 → MKAE54 → IF3LA8 → IA4KF8
721 max steps20000CD → DC1PNDD → OAPPPE2 → NFAPEA3 → MD4PKC4 → LI7PH75 → KEAPEB6 → JA2PMF7 → NF8PGA3 → MF5PJA4 → LH8PG85 → KD8PGC6 → JC3PLD7 → ME6PIB4 → LG6PI95 → KF8PGA6 → JC5PJD7 → KC6PID6 → JE5PJB7 → KC7PHD6 → JD4PKC7 → LD6PIC5
885 max steps800000NN → NN7PPH23 → NMG5J933 → KJE6IB66 → EDC2MDCC → K210OON6 → ONLDB422 → MLH1N844 → MIH8G874 → IB97HGE8 → B972MIGF → KB73LIE6 → IEB2MEB8 → KA32MMF6 → KJE4KB66 → GED2MCBA → K630OMJ6 → OJECCB62 → MD2PPMC4 → NLA8GF43 → KH84KH86 → GE98GGBA → 8762MJII → KDB9FEC6 → E630OMJC → OJD1NC62 → NLD0OC43 → OKH0O852 → OMF8GA32 → MJ84KH64 → IGD8GC98 → A870OIHG → OB95JGE2 → ME72MIB4 → KIB2ME76 → KEB2MEB6 → KE32MMB6 → KJE2MB66 → KED2MCB6 → KE30OMB6 → OJE2MB62 → MKD2MC54 → KIF0OA76 → OEB4KEB2 → MG32MM94 → KJI6I766 → EDCAEDCC → 4210OONM → ONLH7422 → MLH9F844 → IH95JG88 → EA96IGFC → C751NKIE → MFB1NEA4 → MI52MK74 → KIFAEA76 → EB53LKEC → IF31NMA8 → MJA4KF64 → IGD4KC98 → GA70OIFA → OB64KJE2 → MGD2MC94 → KI70OI76 → OEBAEEB2 → M432MML4 → KJIG8766 → EDB7HECC → A320ONMG → OLJ5J642 → MHECCB84 → I92PPMG8 → NHD1NC83 → MK90OG54 → OIF6IA72 → MCB4KED4 → IG30OM98 → OJA6IF62 → MDC4KDC4 → IG10OO98 → ONA6IF22 → MLC4KD44 → IHG0O988 → OA96IGF2 → MC74KID4 → IGB0OE98
945 max steps1000006CF → FC60POJDB → PI82PMH71 → ONF9PFA22 → NME4PKB33 → MKI8PG754 → LHD9PFC85 → KD82PMHC6 → NGC4PKD93 → MJB3PLE64 → MIF7PHA74 → LFB6PIEA5 → KF83PLHA6 → MFC6PIDA4 → LG82PMH95 → NHD7PHC83 → MG94PKG94 → LIB6PIE75 → KFB6PIEA6 → JE83PLHB7 → MEB5PJEB4 → LH82PMH85 → NHD8PGC83 → MF93PLGA4 → MIC5PJD74 → LHC5PJD85 → KGB4PKE96 → LEB4PKEB5 → LG92PMG95 → NHC6PID83 → MHA4PKF84 → LIC6PID75 → KFB5PJEA6 → KE93PLGB6 → MFB4PKEA4 → LIA3PLF75 → MGE7PHB94 → LF84PKHA5 → LGC6PID95 → KF93PLGA6 → MFB5PJEA4 → LH93PLG85 → MGD7PHC94 → LF83PLHA5 → MGD6PIC94 → LG93PLG95
10126 max steps400000458K → K8543LLKH6 → IHFE8GBA88 → A9852MKHGG → KF975JIGA6 → FDB74KIECB → GB430OMLEA → OJH62MJ862 → MKDD8GCC54 → IF810OOHA8 → ONA94KGF22 → MLG74KI944 → IHGB6IE988 → CA972MIGFE → KB751NKIE6 → MFEB2MEBA4 → KI532MMK76 → KJFEAEBA66 → ED542MLKCC → KHF20ONA86 → OLE94KGB42 → MHG72MI984 → KIB96IGE76 → ECB72MIEDC → KB320ONME6 → OLJE2MB642 → MKHD2MC854 → KIF90OGA76 → OEB74KIEB2 → MGB32MME94 → KJI72MI766 → KEDBAEECB6 → E4330OMMLC → OJJH1N8662 → NLDD8GCC43 → KH810OOH86 → ONE98GGB22 → ML872MIH44 → KIHB8GE876 → EB982MHGEC → K9731NMIG6 → MJEB6IEB64 → IDC32MMDC8 → KJA10OOF66 → ONED4KCB22 → MLG30OM944 → OJIH6I8762 → MDCB8GEDC4 → I8310OOMH8 → ONJA8GF622 → MLD84KHC44 → IHG90OG988 → OA976IIGF2 → MCB74KIED4 → IGB30OME98 → OJA72MIF62 → MKDB4KEC54 → IGF30OMA98 → OJA74KIF62 → MGDB4KEC94 → IG730OMI98 → OJBA6IFE62 → MDC52MKDC4 → KIF10OOA76 → ONEB4KEB22 → MLG32MM944 → KJIH6I8766 → EDCB8GEDCC → 83210OONMI → ONLJ9F6422 → MLHD5JC844 → IHE90OGB88 → OA972MIGF2 → MKB74KIE54 → IGFB2MEA98 → KA752MKIF6 → KFEB4KEBA6 → GE532MMKBA → KJF62MJA66 → KEDD4KCCB6 → GE310OOMBA → ONJ62MJ622 → MLKDCCC544 → IHF0PPOA88 → PHG81NH981 → OM996IGG32 → MJC76IID64 → IDCB0OEDC8 → OA310OOMF2 → ONMJ4K6322 → MLJGCC9644 → IHD6PPIC88 → JHA63LJF87 → IDC94KGDC8 → GA710OOIFA → ONB64KJE22 → MLGD2MC944 → KIH70OI876 → OEBB8GEEB2 → M8332MMMH4 → KJJI8G7666 → EDDB7HECCC → A3210OONMG → ONLJ5J6422 → MLHECCB844 → IH92PPMG88 → NHE90OGB83 → OK972MIG52 → MKFB6IEA54 → IFC52MKDA8 → KFA50OKFA6 → OFE54KKBA2 → MGF52MKA94 → KIF74KIA76 → GEBB4KEEBA → G6332MMMJA → KJJD5JC666 → FDDD0OCCCB → O4110OOOL2 → ONNMG83222 → MLLJ7H6444 → IHHD9FC888 → A9960OJGGG → OD775JIIC2 → MEBB0OEEB4 → OI332MMM72 → MKJJAE6654
1151 max steps40000000067 → 763PPPPPLJJ → MJI65PJJ764 → LHDDBPDCC85 → KD610POOJC6 → PNIE6PIB721 → ONHB6PIE822 → NMHA5PJF833 → MKHB6PIE854 → LHEA5PJFB85 → KGB73PLIE96 → MFD94PKGCA4 → LIB62PMJE75 → NHFC6PIDA83 → MHA72PMIF84 → NIFA6PIFA73 → MHB84PKHE84 → LIC95PJGD75 → KGC93PLGD96 → MFB73PLIEA4 → MIE83PLHB74 → MIEA5PJFB74 → LHC83PLHD85 → MGD94PKGC94 → LIB73PLIE75 → MGEB6PIEB94 → LG952PMKG95 → NHGB6PIE983 → MHA84PKHF84 → LIC96PIGD75 → KFB93PLGEA6 → MFB63PLJEA4 → MIF93PLGA74 → MIE95PJGB74 → LHC94PKGD85 → LGC83PLHD95 → MGD83PLHC94 → MID83PLHC74 → MIEA4PKFB74 → LID83PLHC75 → MGEA4PKFB94 → LIB63PLJE75 → MGFC6PIDA94 → LG962PMJG95 → NHFA6PIFA83 → MHA74PKIF84 → LIDA6PIFC75 → KFB82PMHEA6 → NGC73PLID93 → MKE93PLGB54 → MIGB4PKE974 → LID94PKGC75
12262 max stepsA000000000AD → DA9PPPPPPFFD → GFCCA9FFDDAA → 755510OOKKKJ → ONFFFBDAAA22 → ML5551NKKK44 → MIHFFEAAA874 → IB9553LKKGE8 → IFFA72MIFAA8 → KBA554KKKFE6 → GFFE52MKBAAA → KF6552MKKJA6 → KFFED4KCBAA6 → GE5530OMKKBA → OJFF62MJAA62 → MKDD54KKCC54 → IGFF10OOAA98 → ONA754KKIF22 → MLGFB4KEA944 → IHG752MKI988 → KFBA96IGFEA6 → EC7552MKKIDC → KFFB20ONEAA6 → OLE552MKKB42 → MKHFF2MAA854 → KIF954KKGA76 → GFEB74KIEBAA → GB6532MMKJEA → KJFD62MJCA66 → KEDD50OKCCB6 → OFE310OOMBA2 → ONMJ52MK6322 → MLKJFCCA6544 → IHFD4PPKCA88 → LHC851NKHD85 → MGF990OGGA94 → OI7774KIII72 → MGBBBAEEEE94 → I74332MMMLI8 → KJJHB9FE8666 → EDD962MJGCCC → KD7210OONIC6 → ONLEB0OEB422 → OMLH32MM8432 → MKJJH8G86654 → IFDD97HGCCA8 → B97510OOKIGF → ONFB73LIEA22 → MLIB52MKE744 → KIHFB2MEA876 → KEB952MKGEB6 → KFE732MMIBA6 → KJEB52MKEB66 → KFED32MMCBA6 → KJE530OMKB66 → OJFED2MCBA62 → MKD530OMKC54 → OJIFF0OAA762 → OMDB54KKEC32 → MJGF30OMA964 → OJID74KIC762 → MGDBB0OEEC94 → OI7330OMMI72 → OMJJBAEE6632 → MJDD42MLCC64 → KIHD10OOC876 → ONEB90OGEB22 → OML732MMI432 → MKJJHAE86654 → IFDD93LGCCA8 → IA7510OOKIF8 → ONFBA4KFEA22 → MLG552MKK944 → KIHFF6IAA876 → ECB954KKGEDC → GF7320ONMIAA → OLJB64KJE642 → MHGDD2MCC984 → KI9710OOIG76 → ONEBB6IEEB22 → MLC332MMMD44 → KJJIH0O87666 → OEDDB8GECCB2 → M83310OOMMH4 → ONJJI8G76622 → MLDDB7HECC44 → IHA310OOMF88 → ONJA94KGF622 → MLGD74KIC944 → IHGB70OIE988 → OBA972MIGFE2 → MKB752MKIE54 → KIFFB2MEAA76 → KEB552MKKEB6 → KFFE32MMBAA6 → KJE552MKKB66 → KFFED2MCBAA6 → KE5530OMKKB6 → OJFFE2MBAA62 → MKD552MKKC54 → KIFFF0OAAA76 → OEB554KKKEB2 → MGFF32MMAA94 → KJI754KKI766 → GFEDBAEECBAA → 654330OMMLKK → OJJHFDBA8662 → MDD951NKGCC4 → MIF710OOIA74 → ONIBB4KEE722 → MLGB32MME944 → KJIH72MI8766 → KEDBB8GEECB6 → E83330OMMMHC → OJJJ91NG6662 → NLDDD6ICCC43 → KHC110OOOD86 → ONNE90OGB222 → OMLL72MI4432 → MKJHHAE88654 → IFD993LGGCA8 → IA7750OKIIF8 → OFBBA4KFEEA2 → MG5532MMKK94 → KJIFF6IAA766 → EDCB54KKEDCC → GF3210OONMAA → ONLJ64KJ6422 → MLHGDCCC9844 → IH970PPOIG88 → PIGA90OGF971 → PNB774KIIE21 → OLGBB2MEE942 → MKH732MMI854 → KJIFB8GEA766 → EDB852MKHECC → KF9320ONMGA6 → OLJE74KIB642 → MHGDB2MEC984 → KI9730OMIG76 → OJEBB6IEEB62 → MDC332MMMDC4 → KJJI10OO7666 → ONEDDAECCB22 → ML4310OOML44 → ONJIHG887622 → MLDB97HGEC44 → IHA730OMIF88 → OJBA94KGFE62 → MGD752MKIC94 → KIFB70OIEA76 → OEBB52MKEEB2 → MKF332MMMA54 → KJJIF4KA7666 → GEDDB4KECCBA → G63310OOMMJA → ONJJD5JC6622 → MLEDD0OCCB44 → OIH310OOM872 → ONMJB8GE6322 → MLJD82MHC644 → KIHD90OGC876 → OEB970OIGEB2 → OMB732MMIE32 → MKJJB2ME6654 → KIFDD2MCCA76 → KEB510OOKEB6 → ONFE32MMBA22 → MLKJ52MK6544 → KIHFFCCAA876 → EB954PPKKGEC → LKB93PPLGE55 → MKGC91NGD954 → MIF770OIIA74 → OIBBB4KEEE72 → MGB332MMME94 → KJJI72MI7666 → KEDDBAEECCB6 → E43310OOMMLC → ONJJH1N86622 → NLLDD8GCC443 → KHH810OOH886 → ONE998GGGB22 → ML8772MIIH44 → KIHBB8GEE876 → EB9832MMHGEC → KJ9731NMIG66 → MJEDB6IECB64 → IDC330OMMDC8 → OJJA10OOF662 → ONMDD4KCC322 → MLJG10OO9644 → ONIHD6IC8722 → MLCB90OGED44 → OIH730OMI872 → OMJBB8GEE632 → MJD832MMHC64 → KJID90OGC766 → OEDB70OIECB2 → OMB330OMME32 → OMJJJ2M66632 → MKJDDCCCC654 → IFD10PPOOCA8 → POGE61NJB911 → ONMD72MIC322 → MLKJB0OE6544 → OIHFD2MCA872 → MKB950OKGE54 → OIFF72MIAA72 → MKBB54KKEE54 → IGFF32MMAA98 → KJA754KKIF66 → GFEDB4KECBAA → G65330OMMKJA → OJJFD5JCA662 → MEDD50OKCCB4 → OIF310OOMA72 → ONMJB4KE6322 → MLJGD2MC9644 → KIHD70OIC876 → OEBB90OGEEB2 → OM7332MMMI32 → MKJJJAE66654 → IFDDD3LCCCA8 → IA5110OOOKF8 → ONNFA4KFA222 → MLLG54KK9444 → IHHGF6IA9888 → CA9974KIGGFE → GB7751NKIIEA → MFBB62MJEEA4 → KID532MMKC76 → KJFEB0OEBA66 → OED532MMKCB2 → MKJF30OMA654 → OJIFD4KCA762 → MGDB50OKEC94 → OIF730OMIA72 → OMJBB4KEE632 → MJGD32MMC964 → KJID70OIC766 → OEDBB0OEECB2 → OM3330OMMM32 → OMJJJI666632 → MJDDDBDCCC64 → ID2110OOONC8 → ONNLA0OF4222 → OMLLH4K84432 → MJHHG8G98864 → ID9986IHGGC8 → CA9770OIIGFE → OBB751NKIEE2 → NLFB32MMEA43 → LJJH52MK8665 → KGFDD8GCCA96 → E87510OOKIHC → ONFB91NGEA22 → NLL752MKI443 → LJHHFAEA8865 → GD9953LKGGCA → IF7760OJIIA8 → ODBBA4KFEEC2 → MG5330OMMK94
1343 max stepsD00000000DILL → LLIDCPPPCC745 → LKI995PJGG755 → KGFC96PIGDA96 → JE9762PMJIGB7 → NGCC94PKGDD93 → MJB740POLIE64 → PKIFC6PIDA751 → OKEB82PMHEB52 → NMHC62PMJD833 → NKJGB4PKE9653 → MJFEA4PKFBA64 → LIE953PLKGB75 → MGGD94PKGC994 → LIB773PLIIE75 → MGEBB6PIEEB94 → LG9532PMMKG95 → NJHGB6PIE9863 → MHDA84PKHFC84 → LIC972PMIGD75 → NHEB93PLGEB83 → MKD852PMKHC54 → NIHFC4PKDA873 → MJDA72PMIFC64 → NIGC82PMHD973 → NKFA83PLHFA53 → MKGC74PKID954 → LIFD93PLGCA75 → MGE962PMJGB94 → NIGA74PKIF973 → MJDB95PJGEC64 → LHDA51PNKFC85 → OIGC72PMID972 → NMFB93PLGEA33 → MKJC63PLJD654 → MIGED6PICB974 → LGB951PNKGE95 → OIGB74PKIE972 → NKDB94PKGEC53 → MJFB51PNKEA64 → OJHE93PLGB862 → NLFB84PKHEA43 → MJHC73PLID864 → MIFCA4PKFDA74