Base 183: 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ァ
アィイゥウェエォオカガキギクグケ

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
216 max steps10 → 0エ → ェ1 → ゥ3 → ァ7 → шF → иV → ИΒ → tР → ΚА → dа → ςΣ → Nр → Шl → βκ → 7ァ → шF
394 max steps100 → 0エエ → ェエ1 → ウエ2 → ゥエ3 → イエ4 → ィエ5 → アエ6 → ァエ7 → яエ8 → юエ9 → эエA → ьエB → ыエC → ъエD → щエE → шエF → чエG → цエH → хエI → фエJ → уエK → тエL → сエM → рエN → пエO → оエP → нエQ → мエR → лエS → кエT → йエU → иエV → зエW → жエX → еエY → дエZ → гエa → вエb → бエc → аエd → Яエe → Юエf → Эエg → Ьエh → Ыエi → Ъエj → Щエk → Шエl → Чエm → Цエn → Хエo → Фエp → Уエq → Тエr → Сエs → Рエt → Пエu → Оエv → Нエw → Мエx → Лエy → Кエz → ЙエΑ → ИエΒ → ЗエΓ → ЖエΔ → ЕエΕ → ДエΖ → ГエΗ → ВエΘ → БエΙ → АエΚ → ωエΛ → ψエΜ → χエΝ → φエΞ → υエΟ → τエΠ → σエΡ → ςエΣ → ρエΤ → πエΥ → οエΦ → ξエΧ → νエΨ → μエΩ → λエα → κエβ → ιエγ → θエδ → ηエε → ζエζ → εエη → ζエζ
464 max stepsη000 → ζエエζ → ζεζη → 1エエェ → ェ0ェ2 → ェイ32 → ゥя74 → ァчF8 → шзVG → иЗΒW → ИsРΓ → ΜsРω → Μaвω → ψaвΝ → ψYдΝ → ВYдΙ → ВgЬΙ → μgЬα → μAьα → тAьM → тЫhM → Ьιβi → κ6ァγ → ъ6ァE → ълRE → мПtS → РΙАu → ΚeЮБ → πeЮΦ → πIфΦ → вIфc → вυΞc → φUиΟ → КUиΑ → КwМΑ → ΔwМЗ → ΔqТЗ → ΠqТυ → ΠSкυ → ОSкw → ОΕДw → ΖmЦЕ → ΩmЦν → ΩCъν → оCъQ → оУpQ → ФΡςq → ΣOоσ → ЦOоo → ЦΦξo → ΧGцο → жGцY → жГΖY → ДkШΗ → δkШι → δ4ィι → ю4ィA → юуJA → фЯdK → аρΣe → ςMрΤ → ЪMрk → Ъεζk → ζ0ェη → ェ0ェ2
572 max steps10000 → 0エエエエ → ェエエエ1 → ェ0エェ2 → エイエ31 → ェイエ32 → ウィエ43 → ゥァエ64 → イэエ95 → ィщエD6 → アфエI7 → ァоエO8 → язエV9 → юЯエdA → эЦエmB → ьМエwC → ыБエΘD → ъοエΥE → щβエιF → шΤエπG → чαエκH → цΣエρI → хΩエλJ → фΡエςK → уΨエμL → тΠエσM → сΧエνN → рΟエτO → пΦエξP → оΞエυQ → нΥエοR → мΝエφS → лΤエπT → кΜエχU → йΣエρV → иΛエψW → зΡエςX → жΚエωY → еΠエσZ → дΙエАa → гΟエτb → вΘエБc → бΞエυd → аΗエВe → ЯΝエφf → ЮΖエГg → ЭΜエχh → ЬΕエДi → ЫΛエψj → ЪΔエЕk → ЩΚエωl → ШΓエЖm → ЧΙエАn → ЦΒエЗo → ХΘエБp → ФΑエИq → УΗエВr → ТzエЙs → СΖエГt → РyエКu → ПΕエДv → ОxエЛw → НΔエЕx → МwエМy → НΑエИx → МzエЙy → ЛzエЙz → КyエКΑ → ЛwエМz → НzエЙx → МΑエИy → ЛyエКz → ЛyエКz