Base 32: 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 → 1U → S3
317 max steps100 → 0VV → UV1 → TV2 → SV3 → RV4 → QV5 → PV6 → OV7 → NV8 → MV9 → LVA → KVB → JVC → IVD → HVE → GVF → FVG
47 max steps1004 → 40US → UN72 → SFF4 → NVV8 → N7N9 → GDHG → 3VVS
517 max stepsF0000 → EVVVH → HDVHF → I1VTE → UEVG2 → TFVF3 → SDVH4 → REVG5 → QCVI6 → PDVH7 → OBVJ8 → NCVI9 → MAVKA → LBVJB → K9VLC → M8VMA → NBVJ9 → MBVJA
637 max steps300000 → 2VVVVT → T1VVT3 → URVV32 → TS2S33 → RPO665 → MJHDCA → C73ROK → OH7NE8 → HF2SGF → Q20UT6 → URJB42 → SN7N84 → OGEGF8 → G20UTG → UQVV42 → TR3R43 → QOM876 → KHDHEC → 842SRO → QNFF86 → KEVVGC → JH3RED → O62SP8 → QJFFC6 → K6VVOC → PJ3RC7 → OI6OD8 → IG4QFE → M40URA → UNBJ82 → SF7NG4 → OG0UF8 → UG0UF2 → US0U32 → USO632 → SPHD64 → OJ3RC8
718 max steps800000P → P7VVVN7 → OO7VN78 → OHFVFE8 → NA1VTL9 → UKCVIB2 → TJ7VNC3 → SMAVK94 → RJBVJC5 → QG6VOF6 → PK8VMB7 → OHAVKE8 → NE5VPH9 → QG8VMF6 → PI6VOD7 → PIAVKD7 → OF6VOG8 → PG8VMF7 → OH6VOE8
854 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 → QGD8MIF6
934 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 → QKC4VQJB6
1051 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 → QGDD6OIIF6
1171 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 → QKG93VRMFB6