Base 30: 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 → 1S → Q3
316 max steps100 → 0TT → ST1 → RT2 → QT3 → PT4 → OT5 → NT6 → MT7 → LT8 → KT9 → JTA → ITB → HTC → GTD → FTE → ETF
47 max steps400B → B3PJ → M7L8 → FCGF → 3TTQ → Q2Q4 → OL76 → IDFC
517 max steps10000 → 0TTTT → STTT1 → S0TS2 → TPT31 → SPT32 → ROT43 → QMT64 → PJT95 → OFTD6 → NATI7 → MCTG8 → L9TJ9 → KBTHA → J8TKB → L8TK9 → LBTH9 → K9TJA
658 max steps500055 → 554OOP → LJIAA9 → C97LKI → EB5NIG → I71RMC → QF5NE4 → MI0SB8 → SE6MF2 → QG0SD4 → SM2Q72 → QOEE54 → MITTA8 → LJ3PA9 → MC8KH8 → EC4OHG → K51ROA → QJ9JA4 → MA8KJ8 → EC8KHG → C51ROI → QJ5NA4 → MI8KB8 → EC6MHG → G51ROE → QJ1RA4 → QM8K74 → MFBHE8 → E60SNG → SH1RC2 → RP4O43 → OLJ986 → ID9JGC → A62QNK → OH9JC6 → IA4OJC → K95NKA → IB9JIC → A75NMK → IF9JEC → A60SNK → SH9JC2 → QA4OJ4 → MK8K98 → ECAIHG → 851ROM → QJDFA4 → M91RK8 → QEAIF4 → M80SL8 → SECGF2 → Q40SP4 → SMK872 → QFBHE4 → M60SN8 → SHDFC2 → Q51RO4 → QMIA74 → MF7LE8
721 max steps1000000 → 0TTTTTT → STTTTT1 → S0TTTS2 → TR0TS21 → TSPT311 → SSOT412 → SQNT532 → RPKT843 → QNGTC64 → PKATI95 → OG9TJD6 → NF5TNE7 → OG8TKD6 → NG6TMD7 → NG8TKD7 → MF6TME8 → NE7TLF7 → MG6TMD8 → NE8TKF7 → MF5TNE8 → OF7TLE6
8133 max steps90000000 → 8TTTTTTL → L7TTTTL9 → MK87LL98 → FDDAIGGF → 832TTQQM → RQI3PB33 → ONM6M766 → IHGEEDCC → 652TTQOO → ROJTT953 → QOI4OB54 → MKJ6MA98 → GEB8KIFE → C720SRMI → SPF5NE42 → QLI0SB84 → SMD6MG72 → QGF2QED4 → OM30SQ76 → SNIEEB62 → QH6TTMC4 → PNE4OF65 → LJH0SCA9 → SC94OKH2 → QKB4OI94 → MKB6MI98 → GEB6MIFE → G720SRME → SPF1RE42 → RPL0S843 → SOLCG852 → QJD3PGA4 → NL92QK87 → OGDAIGD6 → I832QQLC → OND5NG66 → JHH2QCCB → O854OOL6 → KJICGBAA → A973PMKK → MFB9JIE8 → EA70SMJG → SF91RKE2 → RPB0SI43 → SOL6M852 → QJGCGDA4 → M942QPK8 → OLEAIF86 → ID80SLGC → SD62QNG2 → QOH2QC54 → OMJ4OA76 → KIF8KEBA → CA70SMJI → SF95NKE2 → QIB0SIB4 → SM76MM72 → QGFEEED4 → M30TTSQ8 → TQK3P931 → SNMAI762 → QHF7LEC4 → ME50SOF8 → SJE0SFA2 → SQ90SK32 → SQNAI632 → QNH7LC64 → MHE4OFC8 → KE50SOFA → SJA0SJA2 → SQ98KK32 → QNCAIH64 → MH84OLC8 → KED4OGFA → KA30SQJA → SNA8KJ62 → QHC8KHC4 → MC54OOH8 → KJE4OFAA → KA90SKJA → SBA8KJI2 → QC96MKH4 → MGB4OID8 → KE72QMFA → OFA0SJE6 → SI90SKB2 → SQB6MI32 → QNG6MD64 → MHG2QDC8 → OE52QOF6 → OJI0SBA6 → SI96MKB2 → QGB6MID4 → MG72QMD8 → OFE2QFE6 → OI10SSB6 → SRI6MB22 → QPG6MD44 → MLG2QD88 → OED2QGF6 → OI30SQB6 → SNI6MB62 → QHG6MDC4 → MG52QOD8 → OJE2QFA6 → OI90SKB6 → SIB6MIB2 → QG76MMD4 → MGF2QED8 → OE30SQF6 → SNI0SB62 → SQH6MC32 → QNG4OD64 → MKH2QC98 → OEB4OIF6 → KI70SMBA → SFA6MJE2 → QG90SKD4 → SMB2QI72 → QOF6ME54 → MJG0SDA8 → SE92QKF2 → QOB0SI54 → SMJ6MA72 → QGF8KED4 → MC30SQH8 → SNE4OF62 → QKH0SC94 → SMB4OI72 → QKF6ME94 → MGB0SID8 → SE72QMF2 → QOF0SE54
936 max steps100000006 → 60TTTTTSO → TN50TSO61 → TSNHTB611 → SSMBTH712 → SQLATI832 → RPIATIB43 → QNF6TME64 → PKH7TLC95 → OIC7TLHB6 → NHA5TNJC7 → OGD6TMGD6 → NI92TQKB7 → RJE8TKFA3 → QJA4TOJA4 → PME8TKF75 → OIE5TNFB6 → OIC3TPHB6 → QJD5TNGA4 → PLD5TNG85 → OKF7TLE96 → NHC5TNHC7 → OGB4TOID6 → PID4TOGB5 → PKD4TOG95 → PKF6TME95 → OJD5TNGA6 → OID5TNGB6 → OIC4TOHB6 → PID5TNGB5 → OKC4TOH96 → PIF7TLEB5 → OIA3TPJB6 → QJE7TLFA4 → PJB4TOIA5 → PKE7TLF95 → OIC5TNHB6
10107 max steps300000CCDR → RDCC2QHHG3 → PN552QOO65 → OKJJGCAA96 → IB993PKKIC → MBB75NMII8 → IFE76MMFEC → GF610SSNEE → SRH20SRC22 → SQPP4O4432 → QNLLJ98864 → MHDD9JGGC8 → EA532QQOJG → ONJ91RKA66 → QIHB8KICB4 → MC774OMMH8 → KFFE4OFEEA → KA110SSSJA → SRRA8KJ222 → QPPC8KH444 → MLLC4OH888 → KEDD4OGGFA → KA330SQQJA → SNNA8KJ662 → QHHC8KHCC4 → MC554OOOH8 → KJJE4OFAAA → KA990SKKJA → SBBA8KJII2 → QC976MMKH4 → MGFB4OIED8 → KE730SQMFA → SNFA0SJE62 → SQH90SKC32 → SQNB4OI632 → QNKH6MC964 → MHGB4OIDC8 → KE752QOMFA → OJFA0SJEA6 → SI990SKKB2 → SQBB6MII32 → QNG76MMD64 → MHGF2QEDC8 → OE530SQOF6 → SNJI0SBA62 → SQH96MKC32 → QNGB4OID64 → MKH72QMC98 → OFEB4OIFE6 → KI710SSMBA → SRFA6MJE22 → QPG90SKD44 → SMLB2QI872 → QOFD6MGE54 → MJG30SQDA8 → SNE92QKF62 → QOHB0SIC54 → SMJ74OMA72 → QKFF8KEE94 → MCB10SSIH8 → SRE74OMF22 → QPKF0SE944 → SMLB0SI872 → SQFD6MGE32 → QNG30SQD64 → SNMH2QC762 → QOHF4OEC54 → MKJ50SOA98 → SJEB8KIFA2 → QC970SMKH4 → SMFB4OIE72 → QKF70SME94 → SMFB0SIE72 → SQF70SME32 → SQNF0SE632 → SQNH0SC632 → SQNH4OC632 → QNKH4OC964 → MKHB4OIC98 → KEB74OMIFA → KFA70SMJEA → SFA90SKJE2 → SQB90SKI32 → SQNB6MI632 → QNHG6MDC64 → MHG52QODC8 → OJE52QOFA6 → OJI90SKBA6 → SIB96MKIB2 → QGB76MMID4 → MGF72QMED8 → OFE30SQFE6 → SNI10SSB62 → SRQH6MC322 → QPNG4OD644 → MLKH2QC988 → OEDB4OIGF6 → KI730SQMBA → SNFA6MJE62 → QHG90SKDC4 → SMB52QOI72 → QOJF6MEA54 → MJG90SKDA8 → SEB92QKIF2 → QOB70SMI54 → SMJF6MEA72 → QGF90SKED4 → SMB30SQI72
1148 max steps5000000EPPT → TPPE4TOF441 → SPLL9TJ8842 → ROHDBTHGC53 → QMD53TPOG74 → QMKH8TKC974 → PJEB7TLIFA5 → OIB83TPLIB6 → QJGA6TMJDA4 → PKC95TNKH95 → OKEB7TLIF96 → NHC93TPKHC7 → QIE84TOLFB4 → PMGA3TPJD75 → QKIC5TNHB94 → PLE95TNKF85 → OKFC5TNHE96 → OIE82TQLFB6 → RKGA3TPJD93 → QOGA5TNJD54 → PLJD5TNGA85 → OKFB5TNIE96 → OIE93TPKFB6 → QJF93TPKEA4 → QMGA4TOJD74 → PMHC5TNHC75 → OKGA4TOJD96 → PIFA5TNJEB5 → OKD83TPLG96 → QJGC6TMHDA4 → PKC73TPMH95 → QKID7TLGB94 → PJC94TOKHA5 → PKFA6TMJE95 → OJDA4TOJGA6 → PIE95TNKFB5 → OKE93TPKF96 → QJFB5TNIEA4 → PLD83TPLG85 → QKHD7TLGC94 → PJC83TPLHA5 → QKHB6TMIC94 → PKD95TNKG95 → OKEB6TMIF96 → NID93TPKGB7 → QIE94TOKFB4 → PMF93TPKE75 → QKID5TNGB94 → PLE94TOKF85
12126 max steps300000003CCJ → JCC32TTQQHHB → RQFE6TTMFE33 → QQLC7TTLH834 → QPJI93PKBA44 → NLLB96MKI887 → HFDDB6MIGGED → G74330SQQPME → SNNLF1RE8662 → RPHHD0SGCC43 → SOL552QOO852 → QOJJJCGAAA54 → MJ9993PKKKA8 → MEBBB8KIIIF8 → EC7770SMMMHG → SFFF51ROEEE2 → RPJ110SSSA43 → SRROL8K85222 → QPPJDBHGA444 → MLL962QNK888 → OHEDDAIGGFC6 → I85330SQQOLC → SNNJD5NGA662 → QIHH92QKCCB4 → OMB754OOMI76 → KJIFF6MEEBAA → GA9710SSMKJE → SRFB91RKIE22 → RPPB70SMI443 → SOLLF6ME8852 → QJGDD0SGGDA4 → SM9332QQQK72 → QONNFAIE6654 → MJHH80SLCCA8 → SED954OOKGF2 → QKJB30SQIA94 → SNMB96MKI762 → QHGFB6MIEDC4 → MG7530SQOMD8 → SNJFE2QFEA62 → QOH910SSKC54 → SRMJB4OIA722 → QPKF96MKE944 → MLGBB0SIID88 → SED772QMMGF2 → QOFF30SQEE54 → SNMJ10SSA762 → SRQHF8KEC322 → QPNC50SOH644 → SMLJH4OCA872 → QKFD94OKGE94 → MKBB30SQII98 → SNEB76MMIF62 → QHGF70SMEDC4 → SMF530SQOE72 → SQNJF0SEA632 → SQNH90SKC632 → SQNHB4OIC632 → QNKH74OMC964 → MKHFB4OIEC98 → KEB750SOMIFA → SJFA70SMJEA2 → SQF990SKKE32 → SQNBB0SII632 → SQNH76MMC632 → QNHGF4OEDC64 → MKH530SQOC98 → SNJEB4OIFA62 → QKH970SMKC94 → SMFBB4OIIE72 → QKF770SMME94 → SMFFB0SIEE72 → SQF710SSME32 → SRQNF0SE6322 → SQPNH0SC6432 → SQNLH4OC8632 → QNKHD4OGC964 → MKHB52QOIC98 → OJEB74OMIFA6 → KIF970SMKEBA → SFBA70SMJIE2 → SQF970SMKE32 → SQNFB0SIE632 → SQNH70SMC632 → SQNHF4OEC632 → QNKH50SOC964 → SMJHB4OICA72 → QKF974OMKE94 → MKFBB0SIIE98 → SEB770SMMIF2 → SQFF70SMEE32 → SQNF10SSE632 → SRQNH0SC6322 → SQPNH4OC6432 → QNLKH4OC9864 → MKHDB4OIGC98 → KEB752QOMIFA → OJFA70SMJEA6 → SIF990SKKEB2 → SQBB70SMII32 → SQNF76MME632 → QNHGF0SEDC64 → SMH530SQOC72 → SQNJF4OEA632 → QNKH90SKC964 → SMHBB4OIIC72 → QKF774OMME94 → MKFFB0SIEE98 → SEB710SSMIF2 → SRQF70SME322 → SQPNF0SE6432 → SQNLH0SC8632 → SQNHD4OGC632 → QNKH52QOC964 → OMJHB4OICA76 → KIF974OMKEBA → KFBA70SMJIEA → SFA970SMKJE2 → SQFB90SKIE32 → SQNB70SMI632 → SQNHF6MEC632 → QNHG50SODC64 → SMJH52QOCA72 → QOJF94OKEA54 → MKJB90SKIA98 → SEBB96MKIIF2 → QGB770SMMID4