Base 183: Maximum Iteration Sequences: Cycle Start

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
Cycle Start
11 max steps10
25 max steps10 → 0エ → ェ1 → ゥ3 → ァ7 → шF
392 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
44 max stepsη000 → ζエエζ → ζεζη → 1エエェ → ェ0ェ2
571 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