Base 32: 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
27 max steps20 → 1U → S3O7GF0VU1S3
318 max steps100 → 0VV → UV1 → TV2 → SV3 → RV4 → QV5 → PV6 → OV7 → NV8 → MV9 → LVA → KVB → JVC → IVD → HVE → GVF → FVGFVG
414 max steps1004 → 40US → UN72 → SFF4 → NVV8 → N7N9 → GDHG → 3VVSS2S4QN76KFFC7VVOO6O8IFFE3VVS
521 max stepsF0000 → EVVVH → HDVHF → I1VTE → UEVG2 → TFVF3 → SDVH4 → REVG5 → QCVI6 → PDVH7 → OBVJ8 → NCVI9 → MAVKA → LBVJB → K9VLC → M8VMA → NBVJ9 → MBVJALAVKBL9VLBM9VLAMBVJA
653 max steps100037 → 730USP → UPHD62 → SJ3RC4 → PN6O87 → JHEGED → 631TSQ → SPJB64 → OJ7NC8 → HF6OGF → I20UTE → UR3R42 → SOM874 → OHDHE8 → G42SRG → QMVV86 → PN3R87 → OIEGD8 → G51TQG → SKVVA4 → RL7NA5 → MGAKFA → CA0ULK → UB7NK2 → SG8MF4 → OE0UH8 → UG2SF2 → SQ0U54 → UOKA72 → SH9LE4OC2SJ8QG6OF6KI0UDCU84QN2SMEG94OD1TI8SG4QF4OM0U98UGCIF2S60UP4UOIC72SH5PE4OK2SB8QG8MF6KE0UHCU82SN2SQEG54OL1TA8SGAKF4OA0UL8UGAKF2SA0UL4UOAK72SH9LE4
737 max steps800000P → P7VVVN7 → OO7VN78 → OHFVFE8 → NA1VTL9 → UKCVIB2 → TJ7VNC3 → SMAVK94 → RJBVJC5 → QG6VOF6 → PK8VMB7 → OHAVKE8 → NE5VPH9 → QG8VMF6 → PI6VOD7 → PIAVKD7 → OF6VOG8 → PG8VMF7 → OH6VOE8PG9VLF7OG5VPF8QH8VME6PI7VND7OI9VLD8NF7VNG9OE7VNH8OG8VMF8NG6VOF9PF7VNG7OI7VND8OG9VLF8NF5VPG9QG7VNF6PJ7VNC7OIAVKD8NE6VOH9PF8VMG7OH6VOE8
864 max stepsF0000000 → EVVVVVVH → HDVVVVHF → IGEDHHFE → 5330USSR → UPPL9662 → SJJBJCC4 → O876OON8 → IHGEGFEE → 4320UTSS → URPN7642 → SNJFFC84 → OF6VVOG8 → PN97NM87 → IGFCIGFE → 6410UURQ → UTNJB822 → SRF7NG44 → ONG0UF88 → UGF0UGF2 → US10UU32 → UTSO6322 → SRPHD644 → ONJ3RC88 → OGF6OGF8 → IG10UUFE → UT40UR22 → USRM8432 → SPNDH864 → OJF3RGC8 → OG70UOF8 → UHG0UFE2 → US30US32 → USPO6632 → SPJHDC64 → OJ73ROC8 → OHG6OFE8 → IG30USFE → UP40UR62 → USNIC832 → SPF5PG64 → OKJ0UCB8 → UG96OMF2 → SID0UID4 → UO54QQ72 → SMLGEA94 → ODB1TKI8 → SG94QMF4 → OMD0UI98 → UGD4QIF2 → SM50UQ94 → UOLCIA72 → SHB5PKE4 → OK92SMB8 → QGD8MIF6KE50UQHCUL82SNA2SQFAKG54OLA0ULA8UGBAKKF2SA90UML4UODAKI72SHA4QLE4OMB2SK98QGD8MIF6
936 max stepsB00000000 → AVVVVVVVL → L9VVVVVLB → MKA9VLLBA → MCB9VLKJA → MCA7VNLJA → ODC8VMJI8 → NGA5VPLF9 → QGD5VPIF6 → QKC2VSJB6 → TMF7VNG93 → SME6VOH94 → RMF7VNG95 → QKE6VOHB6 → PKD5VPIB7 → QIE6VOHD6 → PKB3VRKB7 → SKE8VMHB4 → RKB5VPKB5 → QME8VMH96 → PID7VNID7 → OIA4VQLD8 → RIE7VNHD5 → QKA3VRLB6 → SLG9VLFA4 → RJB5VPKC5 → QME7VNH96 → PJE7VNHC7 → OIB4VQKD8 → RID6VOID5 → QLB4VQKA6 → RKG9VLFB5 → QIA4VQLD6 → RKG7VNFB5 → QKC4VQJB6RKF7VNGB5QKC4VQJB6
1061 max steps300000888D → D8882SNNNJ → QFFF5PGGG6 → LJ110UUUCB → UTTA6OL222 → SRRIAKD444 → ONNA4QL888 → MGFFAKGGFA → CA110UUULK → UTTB7NK222 → SRRG8MF444 → ONNE0UH888 → UGFF2SGGF2 → SQ110UUU54 → UTTOKA7222 → SRRH9LE444 → ONNC2SJ888 → QGFF6OGGF6 → KI110UUUDC → UTT84QN222 → SRRMEG9444 → ONND1TI888 → SGFF4QGGF4 → OM110UUU98 → UTTGCIF222 → SRR60UP444 → UONNIC8872 → SHFF5PGGE4 → OK310UUSB8 → UTPG8MF622 → SRJE0UHC44 → UON72SO872 → SQHHEGEE54 → OL331TSSA8 → SPPGAKF664 → OJJA0ULCC8 → UGB76OOKF2 → SIH90UMED4 → UOD52SQI72 → SQLH4QEA54 → OMLB2SKA98 → QGDB8MKIF6 → KE950UQMHC → ULD82SNIA2 → SQFB4QKG54 → OML90UMA98 → UGDDAKIIF2 → SA550UQQL4 → UOLLAKAA72 → SHBB9LKKE4 → OC992SMMJ8 → QGDD6OIIF6KI550UQQDCULL84QNAA2SMFBAKKG94ODA90UMLI8UGDB4QKIF2SM950UQM94UOLDCIIA72SHB64QPKE4OMJ92SMC98QGDD6OIIF6
1175 max steps20000002223 → 32221VTTTTT → URRRPV54442 → TQNNLV98853 → SOIFDVHGD74 → RLB51VTQKA5 → UOMG9VLF972 → TNFD5VPIG83 → SOHA2VSLE74 → TOLE6VOHA73 → SNHE6VOHE84 → RMG92VSMF95 → TNID6VOID83 → SNGA4VQLF84 → ROID5VPID75 → QMIB4VQKD96 → RKHB6VOKEB5 → QLD95VPMIA6 → QKGC7VNJFB6 → PJC83VRNJC7 → SKHB6VOKEB4 → RMD95VPMI95 → QMGD8VMIF96 → PID92VSMID7 → TLG94VQMFA3 → SPHC5VPJE64 → RNJD4VQIC85 → RMIB5VPKD95 → QMGB6VOKF96 → PKFB4VQKGB7 → RJE94VQMHC5 → RMHA4VQLE95 → RMHC6VOJE95 → QLFA4VQLGA6 → RKGB5VPKFB5 → QME94VQMH96 → RKHD7VNIEB5 → QKC73VROJB6 → SLJD7VNICA4 → RLD95VPMIA5 → QMGC7VNJF96 → PJEA3VRLHC7 → SKF94VQMGB4 → ROHB4VQKE75 → RMJD5VPIC95 → QMGA5VPLF96 → QKGC5VPJFB6 → QKE83VRNHB6 → SLIC5VPJDA4 → RNF95VPMG85 → QMHE6VOHE96 → PKF82VSNGB7 → TLHC4VQJEA3 → SPG94VQMF64 → ROKG6VOFB75 → QLHD4VQIEA6 → RKG83VRNFB5 → SMJC4VQJC94 → ROHA6VOLE75 → QLHE6VOHEA6 → PKE72VSOHB7 → TLID5VPIDA3 → SOF84VQNG74 → ROJG7VNFC75 → QKHB3VRKEB6 → SLF95VPMGA4 → RNGC5VPJF85 → QMHB3VRKE96 → SLHB5VPKEA4 → RNFA5VPLG85 → QMHD5VPIE96 → QKG93VRMFB6SLHB4VQKEA4ROGA5VPLF75QMIE5VPHD96QKG93VRMFB6