Base 124: Maximum Iteration Sequences: Cycle Start

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
Cycle Start
11 max steps10
22 max steps20 → 1Л → Й3
363 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
410 max steps400R → R3Иμ → ЕΘr8 → χFφG → θεWV → ΑvΔΑ → 7ММЕ → Е6Е8 → ωφFE → λζVS → ΗxΒu
548 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
6358 max steps9000sμ → μs8ГΘR → υΙEχrI → ιγGυZU → εΓqΙxY → uI4ЗτΗ → ГβBАaA → σοoΛNK → ΨΠLπke → ΤiUηΣi → ΑaYγβΑ → soММΛΙ → ΜΘ1Кsp → ЙMEχπ4 → ЕιΡiT8 → χΔXδwG → ηu6ЕΖW → ωyAБΒE → ρλ2ЙRM → ЗΤΗsh6 → БbDψαC → ολmΝRO → ΟΘPμsm → ΛSEχκq → ιΖJςuU → ΨΓAБxe → ρi4ЗΣM → ГΤYγhA → σsaαΘK → ΨoEχΜe → ιiMοΣU → ΡΓYγxk → sW4ЗζΙ → ГxFφΓA → ση4ЗVK → ГΨyΑdA → σj1КΡK → ЙΨWεd4 → ЕwiΡΔ8 → χY6ЕδG → ωηsΗVE → λzDψΑS → λΗ0ЛtS → ЛΗCωt2 → ЙνCωP4 → ЕνΛoP8 → χΜLπoG → ηΤMοhW → ΡyaαΒk → oW2ЙζΝ → ЗxNξΓ6 → БΟ4ЗlC → ГοSιNA → σΠΔvkK → ΨV7Дηe → χzhΣΑG → ηa0ЛβW → ЛyoΛΒ2 → ЙM2Йπ4 → ЗЕΡi76 → БψXδEC → οκtΖSO → ΟΖBАum → οSAБκO → ρΟΕulM → ΤT9Вιi → σΔZβwK → Ψq6ЕΚe → ωiIσΣE → λαYγbS → ΗsmΝΘu → QFBАχν → οθΚpUO → ΟΒJςym → ΨS2Йκe → ЗΖhΣu6 → БaAБβC → ροoΛNM → ΤΠLπki → ΤaUηβi → ΑpZβΛΑ → qKММρΛ → ςΚTθqL → ΦΓIσxg → αe4ЗΧc → ГmgΤΞA → σcQλΩK → ΨΙkΟre → iUGυθΤ → εΒZβyY → uq2ЙΚΗ → ЗJBАσ6 → БοΨcNC → οΠjΠkO → ΟWUηζm → ΑxRκΓΑ → Η4ММЗu → ИΖnΜu5 → ГOAБξA → σρΝmLK → ΨΥPμge → ΛicΨΣq → kZJςγΡ → ΨrVζΙe → yiGυΣΓ → εZ3ИγY → ЕuqΙΖ8 → χIAБτG → ρηαaVM → ΤznΜΑi → aO0Лξγ → ЛΞpΚm2 → ЙRJςλ4 → ЕΨΗsd8 → χjDψΡG → ληWεVS → ΗzvΔΑu → C80ЛДБ → ЛφξNG2 → ЙζΞlW4 → ЕxRκΓ8 → χΗ4ЗtG → ГηCωVA → σνyΑPK → ΨΜ1Кoe → ЙiMοΣ4 → ЕΡYγj8 → χsWεΘG → ηwEχΔW → ιy6ЕΒU → ωΓ2ЙxE → Зλ4ЗR6 → ГБΗsBA → σπDψMK → λΨΡidS → ΗjXδΡu → uXBАεΗ → οvBАΕO → οΟ8ГlO → υΟSιlI → γΕSιva → Εq8ГΚw → υJ7ДσI → χγΨcZG → ηrjΠΙW → yWGυζΓ → εx3ИΓY → Еu4ЗΖ8 → ГχAБFA → σρηULK → ΨΥzzge → icММΨΤ → ΩΣ3Иid → ЕkYγΠ8 → χsUηΘG → ηΑEχzW → ιy0ЛΒU → ЛΓ2Йx2 → ЙЗ4З54 → ЕГБA98 → χτπLIG → ηβΣhaW → ypZβΛΓ → qL3ИρΛ → ЕΥJςg8 → χΨcΨdG → ηkiΡΠW → yYUηδΓ → Αt3ИΗΑ → ЕCММω8 → ДА5ЖC9 → БυνOHC → οδΜnYO → ΟtNξΗm → ΟSCωκm → νΖRκuQ → ΛΗAБtq → ρKCωςM → νΧΣheQ → ΛhZβΤq → qbJςαΛ → ΨnJςΝe → ΨiOνΣe → ΝiYγΣo → sZNξγΙ → ΟrFφΙm → ηSGυκW → εΖxΒuY → uB3ИБΗ → ЕπBАM8 → χοΡiNG → ηΠXδkW → yuUηΖΓ → ΑB3ИБΑ → ЕοММM8 → ДπFφM9 → υηΡiVI → γzXδΑa → uq0ЛΚΗ → ЛJBАσ2 → ЙοΨcN4 → ЕΠjΠk8 → χWUηζG → ηΑwΓzW → y60ЛЖΓ → ЛА3ИC2 → ЙЕνO74 → ЕψΜnE8 → χκNξSG → ηΟΕulW → yT9ВιΓ → σΔ3ИwK → ЕΨ6Еd8 → ωχiΡFE → λθXδUS → ΗΒtΖyu → DB2ЙБА → ЗπμPM6 → БΣΚpiC → οZJςγO → ΨΟqΙle → iTHτιΤ → γΔZβwa → rp6ЕΛΚ → ωLHτρE → λγΤgZS → ΗrbΩΙu → mHBАυΟ → οδRκYO → ΟΗsΗtm → SECωψλ → νκΖtSQ → ΛΖBАuq → οKAБςO → ρΧΞleM → ΤhRκΤi → ΗbZβαu → qnBАΝΛ → οPJςνO → ΨΟΛole → iTLπιΤ → ΤΔZβwi → qa6ЕβΛ → ωpJςΛE → λΨKρdS → ΦΗiΡtg → eYCωδΨ → νthΣΗQ → ΛaCωβq → νpJςΛQ → ΨΛKρpe → ΦiKρΣg → ΦeYγΧg → shdΧΤΙ → ibFφαΤ → ηnZβΝW → yqOνΚΓ → ΝJ3Иσo → ЕΩNξc8 → χΟkΟlG → ηUSιθW → ΕΒxΒyw → 842ЙИЕ → ЗДφF86 → БφζVGC → οζxΒWO → Οx3ИΓm → ЕS4Зκ8 → ГχΕuFA → σθ9ВUK → σΨΑydK → Ψj1КΡe → ЙiWεΣ4 → ЕwYγΔ8 → χs6ЕΘG → ωηEχVE → λιyΑTS → ΗΔ1Кwu → ЙC6ЕА4 → ЕωνOD8 → χμΜnQG → ηΚNξqW → ΟyIσΒm → αS2Йκc → ЗΖlΞu6 → БSAБκC → ροΕuNM → ΤΠ9Вki → σaUηβK → ΨΑoΛze → iM0ЛπΤ → ЛΣZβi2 → ЙqYγΚ4 → ЕsIσΘ8 → χαEχbG → ιηmΝVU → ΓzPμΑy → Λ40ЛИq → ЛДJς82 → ЙφΧdG4 → ЕζhΣW8 → χxZβΓG → ηq4ЗΚW → ГyIσΒA → σα2ЙbK → ЗΨmΝd6 → БjPμΡC → οΛWεpO → ΟwKρΔm → ΦS6Еκg → ωΖdΧuE → λiAБΣS → ρΗYγtM → ΤsCωΘi → νaEχβQ → ιΛoΛpU → ΓMKρπy → ΦΣ3Иig → ЕeYγΧ8 → χsgΤΘG → ηcEχΩW → ιykΟΒU → ΓU2Йθy → ЗΒ3Иy6 → ЕБ2ЙB8 → ЗχοMF6 → БθΠjUC → οΒVζyO → Οy2ЙΒm → ЗS2Йκ6 → ЗБΕuB6 → Бπ9ВMC → σοΡiNK → ΨΠXδke → uiUηΣΗ → ΑZBАγΑ → οqММΙO → ξΚTθqP → ΝΓIσxo → αO4Зξc → ГΞlΞmA → σSQλκK → ΨΙΕure → iH9ВυΤ → σδZβYK → ΨtpΚΗe → iKCωςΤ → νΧZβeQ → ΛqgΤΚq → cKIσςα → αΧlΞec → mhRκΤΟ → ΗbRκαu → ΗnBАΝu → οPBАνO → οΟΛolO → ΟTLπιm → ΤΔRκwi → Ηa6Еβu