Base 124: Maximum Iteration Sequences: Full Cycle

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ
λμνξοπρςστυφχψωА
БВГДЕЖЗИЙКЛМНОПР

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 steps1 → 0 → 0
252 max steps20 → 1Л → Й3 → Е7 → χF → ηV → yΒ → 2К → З5 → БB → οN → Οl → Sκ → Εv → 8Д → υH → γZ → qΚ → Iτ → αb → mΞ → Qμ → Ιr → Gφ → εX → uΖ → AВ → ρL → Τh → aβ → oΜ → Mπ → Ρj → Wζ → wΔ → 6Ж → ωD → λR → Ηt → CА → νP → Λp → Kς → Φf → eΧ → gΥ → cΩ → kΠ → Uθ → Αz → 0М → Л1 → Й3
364 max steps100 → 0ММ → ЛМ1 → КМ2 → ЙМ3 → ИМ4 → ЗМ5 → ЖМ6 → ЕМ7 → ДМ8 → ГМ9 → ВМA → БМB → АМC → ωМD → ψМE → χМF → φМG → υМH → τМI → σМJ → ςМK → ρМL → πМM → οМN → ξМO → νМP → μМQ → λМR → κМS → ιМT → θМU → ηМV → ζМW → εМX → δМY → γМZ → βМa → αМb → ΩМc → ΨМd → ΧМe → ΦМf → ΥМg → ΤМh → ΣМi → ΡМj → ΠМk → ΟМl → ΞМm → ΝМn → ΜМo → ΛМp → ΚМq → ΙМr → ΘМs → ΗМt → ΖМu → ΕМv → ΔМw → ΓМx → ΒМy → ΑМz → zМΑ → zМΑ
415 max steps400R → R3Иμ → ЕΘr8 → χFφG → θεWV → ΑvΔΑ → 7ММЕ → Е6Е8 → ωφFE → λζVS → ΗxΒu → C3ИБ → ЕξN8 → χΞlG → ηRκW → ΗxΒu
551 max steps1000F → F0МЛψ → МυМG1 → ЛυМG2 → КτМH3 → ЙςМJ4 → ИοМM5 → ЗλМQ6 → ЖζМV7 → ЕΩМb8 → ДΡМi9 → ГΙМqA → ВzМzB → БpМΚC → АyМΑD → ωoМΛE → ψxМΒF → χnМΜG → φwМΓH → υmМΝI → τvМΔJ → σlМΞK → ςuМΕL → ρkМΟM → πtМΖN → οjМΠO → ξsМΗP → νiМΡQ → μrМΘR → λhМΣS → κqМΙT → ιgМΤU → θpМΚV → ηfМΥW → ζoМΛX → εeМΦY → δnМΜZ → γdМΧa → βmМΝb → αcМΨc → ΩlМΞd → ΨbМΩe → αiМΡc → ΩfМΥd → ΨhМΣe → ΧeМΦf → ΧfМΥf → ΦfМΥg → ΦdМΧg → ΨeМΦe → ΧhМΣf → ΦdМΧg
6516 max stepsB000Sn → nSAБκΞ → ρΖPμuM → ΤΛAБpi → ρaKρβM → ΦΤoΛhg → ebLπαΨ → ΤnhΣΝi → bZOνγβ → ΝrnΜΙo → PNGυοξ → εΠΜnkY → uVNξηΗ → ΟzBАΑm → οS0ЛκO → ЛΟΕul2 → ЙT9Вι4 → ЕσΓwJ8 → χΩ5ЖcG → БηkΟVC → οzTθΑO → ΟΓ0Лxm → ЛS4Зκ2 → ЙГΕu94 → Еτ9ВI8 → χσαaJG → ηΩnΜcW → ylNξΟΓ → ΟT3Иιm → ЕΔRκw8 → χΗ6ЕtG → ωηCωVE → νλyΑRQ → ΛΘ1Кsq → ЙKEχς4 → ЕιΦeT8 → χΔfΥwG → ηe6ЕΧW → ωygΤΒE → λc2ЙΩS → ЗΗkΟt6 → БUCωθC → ονΑyPO → ΟΜ1Кom → ЙSMοκ4 → ЕΡΕuj8 → χX9ВεG → σηuΕVK → Ψz9ВΑe → σi0ЛΣK → ЛΨYγd2 → ЙsiΡΘ4 → ЕYEχδ8 → χιsΗTG → ηΔDψwW → λy6ЕΒS → ωΗ2ЙtE → ЗλCωR6 → БνΗsPC → οΜDψoO → λΟMοlS → ΡΗSιtk → ΕWCωζw → νx7ДΓQ → χΛ4ЗpG → ГηKρVA → σΦyΑfK → Ψf1КΦe → ЙieΦΣ4 → ЕgYγΥ8 → χscΨΘG → ηkEχΠW → ιyUηΒU → ΓΑ2Йzy → З40ЛИ6 → ЛДАB82 → ЙφξNG4 → ЕζΞlW8 → χxRκΓG → ηΗ4ЗtW → ГyCωΒA → σν2ЙPK → ЗΨΛod6 → БjLπΡC → οΤWεhO → ΟwaαΔm → oS6ЕκΝ → ωΖNξuE → λΟAБlS → ρΗSιtM → ΤΕCωvi → νa8ГβQ → υΛoΛpI → γMKρπa → ΦΣpΚig → eZJςγΨ → ΨrhΣΙe → iaGυβΤ → εpZβΛY → uqKρΚΗ → ΦJBАσg → οΩdΧcO → ΟlhΣΟm → aTRκιγ → ΗΔpΚwu → KC6ЕАσ → ωξΧdOE → λΞhΣmS → ΗaQλβu → ΙpBАΛs → οLFφρO → ηΥΞlgW → ydRκΨΓ → Ηj3ИΡu → ЕXBАε8 → χοuΕNG → ηΠ9ВkW → σyUηΒK → ΨΑ2Йze → Зi0ЛΣ6 → ЛБYγB2 → ЙπrΘM4 → ЕΣFφi8 → χηYγVG → ηzrΘΑW → yG0ЛφΓ → Лζ3ИW2 → ЙЕwΓ74 → Еψ5ЖE8 → БχιSFC → οθΔvUO → ΟΒ7Дym → χS2ЙκG → ЗηΕuV6 → Бz9ВΑC → σο0ЛNK → ЛΨΟkd2 → ЙjTθΡ4 → ЕΓWεx8 → χw4ЗΔG → Гη6ЕVA → ωσyΑJE → λΩ1КcS → ЙΗkΟt4 → ЕUCωθ8 → χνΑyPG → ηΜ1КoW → ЙyMοΒ4 → ЕΡ2Йj8 → ЗχWεF6 → БθvΔUC → οΒ7ДyO → χΟ2ЙlG → ЗηSιV6 → БΕyΑvC → ο91КГO → ЙτΞlI4 → ЕβRκa8 → χΗoΛtG → ηMCωπW → νΣxΒiQ → ΛZ3Иγq → ЕrJςΙ8 → χΨGυdG → ηεiΡXW → yvXδΕΓ → u93ИГΗ → ЕτBАI8 → χοαaNG → ηΠnΜkW → yVNξηΓ → Οz3ИΑm → ЕS0Лκ8 → ЛχΕuF2 → Йθ9ВU4 → ЕσΑyJ8 → χΩ1КcG → ЙηkΟV4 → ЕzTθΑ8 → χΓ0ЛxG → Лη4ЗV2 → ЙГyΑ94 → Еτ1КI8 → ЙχαaF4 → ЕθnΜU8 → χΒNξyG → ηΟ2ЙlW → ЗySιΒ6 → БΕ2ЙvC → Зο8ГN6 → БυΟkHC → οδTθYO → ΟΓsΗxm → SE4Зψλ → ГκΖtSA → σΖBАuK → οΨAБdO → ρΟiΡlM → ΤYSιδi → ΕtZβΗw → qD7ДωΛ → χμJςQG → ηΨΙqdW → yjHτΡΓ → γX3Иεa → ЕvpΚΕ8 → χK8ГςG → υηΦeVI → γzfΥΑa → qe0ЛΧΛ → ЛhJςΤ2 → ЙΨaαd4 → ЕoiΡΜ8 → χYMοδG → ηΡsΗjW → yXDψεΓ → λv3ИΕS → ЕΗ8Гt8 → χυCωHG → νηγYVQ → ΛzrΘΑq → KG0Лφσ → ЛζΧdW2 → ЙxhΣΓ4 → Еa4Зβ8 → ГχoΛFA → σθLπUK → ΨΤΑyhe → ib1КαΤ → ЙnZβΝ4 → ЕqOνΚ8 → χΝIσnG → ηαOνbW → ΝymΝΒo → QO2Йξν → ЗΞΚpm6 → БRJςλC → οΨΗsdO → ΟjDψΡm → λXRκεS → ΘΖuΕut → EB9ВБω → σπκRMK → ΨΣΖtie → iZBАγΤ → οrZβΙO → ΟqGυΚm → εSIσκY → αΖtΖuc → mCAБАΟ → ρξRκOM → ΤΞΖtmi → aRBАλγ → οΘpΚsO → ΟKEχςm → ιΧRκeU → ΗΓgΤxu → cC4ЗАα → ГξlΞOA → σΞRκmK → ΨΗQλte → ΙiCωΣs → νZFφγQ → ηΛqΙpW → yLHτρΓ → γΥ3Иga → ЕqcΨΚ8 → χkIσΠG → ηαUηbW → ΑymΝΒΑ → Q2ММЙν → КμLπQ3 → ЗΤΙqh6 → БbHταC → ογmΝZO → ΟrPμΙm → ΛSGυκq → εΖJςuY → ΨuAБΖe → ρiAБΣM → ρΤYγhM → ΤsaαΘi → oaEχβΝ → ιpNξΛU → ΟΓKρxm → ΦS4Зκg → ГΖdΧuA → σiAБΣK → ρΨYγdM → ΤsiΡΘi → aYEχδγ → ιtpΚΗU → ΓKCωςy → νΧ3ИeQ → ЕΛgΤp8 → χcKρΩG → ηΦkΟfW → yfTθΦΓ → Γf3ИΦy → Еf3ИΦ8 → ЕχeΦF8 → χθfΥUG → ηΒdΧyW → yi2ЙΣΓ → ЗZ3Иγ6 → ЕБqΙB8 → χπHτMG → ηγΡiZW → yrXδΙΓ → uH3ИυΗ → ЕδBАY8 → χοsΗNG → ηΠDψkW → λyUηΒS → ΗΑ2Йzu → ЗC0ЛА6 → ЛБνOB2 → ЙπΜnM4 → ЕΣNξi8 → χΟYγlG → ηsSιΘW → ΕyEχΒw → ι82ЙДU → ЗφΒxG6 → Бζ3ИWC → ЕοwΓN8 → χΠ5ЖkG → БηUηVC → οΑyΑzO → Ο20ЛКm → ЛИRκ42 → ЙДΖt84 → ЕφBАG8 → χοεWNG → ηΠvΔkW → yV7ДηΓ → χz3ИΑG → Еη0ЛV8 → ЛχyΑF2 → Йθ1КU4 → ЙЕΑy74 → Еψ1КE8 → ЙχιSF4 → ЕθΔvU8 → χΒ7ДyG → χη2ЙVG → ЗηyΑV6 → Бz1КΑC → Йο0ЛN4 → ЛЕΟk72 → ЙψTθE4 → ЕκΒxS8 → χΖ3ИuG → ЕηAБV8 → χρyΑLG → ηΥ1КgW → ЙycΨΒ4 → Еk2ЙΠ8 → ЗχUηF6 → БθzzUC → οΑММyO → ξΒbΩyP → Νm2ЙΞo → ЗRNξλ6 → БΟΗslC → οTDψιO → λΟΓwlS → ΗT5Жιu → БΔBАwC → πξ6ЕON → ωΡΝmjE → λXPμεS → ΛΗuΕtq → KD9Вωσ → σμΧdQK → ΨΚhΣqe → iaIσβΤ → αpZβΛc → qmKρΞΛ → ΦRJςλg → ΨΘdΧse → jhEχΤΣ → ιbXδαU → ΓumΝΖy → QB3ИБν → ЕπΚpM8 → χΣJςiG → ηΨYγdW → ysiΡΘΓ → YF3Иχε → ЕθtΖU8 → χΒBАyG → οη2ЙVO → ЗΟyΑl6 → БT1КιC → ЙοΓwN4 → ЕΠ5Жk8 → БχUηFC → οθzzUO → ΟΑММym → ΞΒDψyn → λQ2ЙμS → ЗΚΖtq6 → БJBАσC → πξΨcON → ΡΞjΠmk → XVQληζ → ΙzvΔΑs → G80ЛДχ → ЛφζVG2 → ЙζxΒW4 → Еx3ИΓ8 → Еχ4ЗF8 → ГχηUFA → σθzzUK → ΨΑММye → ΧΒLπyf → Τg2ЙΥi → ЗdZβΨ6 → БqiΡΚC → οYIσδO → αΟsΗlc → mTDψιΟ → λΔRκwS → ΘΖ6Еut → ωEAБψE → ρλιSRM → ΤΘΔvsi → aF7Дχγ → χθpΚUG → ηΒJςyW → Ψy2ЙΒe → Зi2ЙΣ6 → ЗБYγB6 → БπrΘMC → οΣFφiO → ηΟYγlW → ysSιΘΓ → ΕF3Иχw → Еθ7ДU8 → ψφΑyGF → ιζ1КWU → ЙΓwΓx4 → Е64ЗЖ8 → ГАφFCA → σξζVOK → ΨΞxΒme → iR3ИλΤ → ЕΘZβs8 → χqEχΚG → ιηIσVU → αΓyΑxc → m51КЗΟ → ЙВRκA4 → ЕςΖtK8 → χΧBАeG → οηgΤVO → ΟzbΩΑm → mS0ЛκΟ → ЛΖRκu2 → ЙΗAБt4 → ЕρCωL8 → χνΤgPG → ηΜbΩoW → ymMοΞΓ → ΡR3Иλk → ЕΘVζs8 → χyEχΒG → ιη2ЙVU → ЗΓyΑx6 → Б51КЗC → ЙВξNA4 → ЕςΞlK8 → χΧRκeG → ηΗgΤtW → ycCωΩΓ → νl3ИΟQ → ЕΛSιp8 → χΕKρvG → ηΦ8ГfW → υyeΦΒI → γg2ЙΥa → ЗqcΨΚ6 → БkIσΠC → οαUηbO → ΟΑmΝzm → SQ0Лμλ → ЛΚΖtq2 → ЙJBАσ4 → ЕοΨcN8 → χΠjΠkG → ηWUηζW → ΑywΓΒΑ → 62ММЙЗ → КЖ1К63 → ЙЗωC54 → ЕВμPA8 → χςΚpKG → ηΧJςeW → ΨygΤΒe → ic2ЙΩΤ → ЗlZβΟ6 → БqSιΚC → οΕIσvO → αΟ8Гlc → υmSιΞI → γΕQλva → Ιq8ГΚs → υJFφσI → ηγΨcZW → yrjΠΙΓ → WH3Иυη → ЕδxΒY8 → χt3ИΗG → ЕηCωV8 → χνyΑPG → ηΜ1КoW