Base 186: Maximum Iteration Sequences: Full Cycle

Blog: The First Pixel: Kaprekar's Constant 6174

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

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
242 max steps20 → 1オ → エ3イ7ыFлVЛΒΗЖγμ8ィщHзZГΚοΩнTПxΕИΤτЩnαξсPЧpΦςбfρΧеbωΞЕΘηθ0カオ1エ3
395 max steps100 → 0カカ → オカ1 → ォカ2 → エカ3 → ェカ4 → ウカ5 → ゥカ6 → イカ7 → ィカ8 → アカ9 → ァカA → яカB → юカC → эカD → ьカE → ыカF → ъカG → щカH → шカI → чカJ → цカK → хカL → фカM → уカN → тカO → сカP → рカQ → пカR → оカS → нカT → мカU → лカV → кカW → йカX → иカY → зカZ → жカa → еカb → дカc → гカd → вカe → бカf → аカg → Яカh → Юカi → Эカj → Ьカk → Ыカl → Ъカm → Щカn → Шカo → Чカp → Цカq → Хカr → Фカs → Уカt → Тカu → Сカv → Рカw → Пカx → Оカy → Нカz → МカΑ → ЛカΒ → КカΓ → ЙカΔ → ИカΕ → ЗカΖ → ЖカΗ → ЕカΘ → ДカΙ → ГカΚ → ВカΛ → БカΜ → АカΝ → ωカΞ → ψカΟ → χカΠ → φカΡ → υカΣ → τカΤ → σカΥ → ςカΦ → ρカΧ → πカΨ → οカΩ → ξカα → νカβ → μカγ → λカδ → κカε → ιカζ → θカη → ηカθηカθ
417 max stepsN00Ι → ΙMуЕ → ЭjЬk → κηηζ → 3カカエ → エ2エ4 → ウィ76 → яъFCукVOЫКΒmεvРλΙ5ゥЕяjЬCуθζOЫ1ォmエδκ4イ5ゥ8яъFC
574 max steps10000 → 0カカカカ → オカカカ1 → オ0カオ2 → カェカ31 → オェカ32 → ォウカ43 → エイカ64 → ェァカ95 → ウьカD6 → ゥчカI7 → イсカO8 → ィкカV9 → アвカdA → ァЩカmB → яПカwC → юДカΘD → эςカΥE → ьεカιF → ыΤカσG → ъδカκH → щΣカτI → шγカλJ → чΡカυK → цβカμL → хΠカφM → фαカνN → уΟカχO → тΩカξP → сΞカψQ → рΨカοR → пΝカωS → оΧカπT → нΜカАU → мΦカρV → лΛカБW → кΥカςX → йΚカВY → иΤカσZ → зΙカГa → жΣカτb → еΘカДc → дΡカυd → гΗカЕe → вΠカφf → бΖカЖg → аΟカχh → ЯΕカЗi → ЮΞカψj → ЭΔカИk → ЬΝカωl → ЫΓカЙm → ЪΜカАn → ЩΒカКo → ШΛカБp → ЧΑカЛq → ЦΚカВr → ХzカМs → ФΙカГt → УyカНu → ТΘカДv → СxカОw → РΗカЕx → ПwカПy → РΔカИx → ПzカМy → ОΓカЙz → НyカНΑ → ОzカМz → НΒカКΑ → МyカНΒ → ОyカНz → ОΒカКz → НzカМΑНzカМΑ