Base 181: 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
23 max steps10 → 0ウ → ゥ1 → ィ3
391 max steps100 → 0ウウ → ゥウ1 → イウ2 → ィウ3 → アウ4 → ァウ5 → яウ6 → юウ7 → эウ8 → ьウ9 → ыウA → ъウB → щウC → шウD → чウE → цウF → хウG → фウH → уウI → тウJ → сウK → рウL → пウM → оウN → нウO → мウP → лウQ → кウR → йウS → иウT → зウU → жウV → еウW → дウX → гウY → вウZ → бウa → аウb → Яウc → Юウd → Эウe → Ьウf → Ыウg → Ъウh → Щウi → Шウj → Чウk → Цウl → Хウm → Фウn → Уウo → Тウp → Сウq → Рウr → Пウs → Оウt → Нウu → Мウv → Лウw → Кウx → Йウy → Иウz → ЗウΑ → ЖウΒ → ЕウΓ → ДウΔ → ГウΕ → ВウΖ → БウΗ → АウΘ → ωウΙ → ψウΚ → χウΛ → φウΜ → υウΝ → τウΞ → σウΟ → ςウΠ → ρウΡ → πウΣ → οウΤ → ξウΥ → νウΦ → μウΧ → λウΨ → κウΩ → ιウα → θウβ → ηウγ → ζウδ → εウε
44 max stepsζ000 → εウウε → εδεζ → 1ウウゥ → ゥ0ゥ2
567 max steps10009 → 90ウゥэ → ウъウA1 → ゥъウA2 → イщウB3 → ィчウD4 → アфウG5 → ァрウK6 → ялウP7 → юеウV8 → эЮウc9 → ьЦウkA → ыНウtB → ъГウΔC → щςウΟD → шζウγE → чΡウπF → цβウηG → хΠウρH → фαウθI → уΟウςJ → тΩウιK → сΞウσL → рΨウκM → пΝウτN → оΧウλO → нΜウυP → мΦウμQ → лΛウφR → кΥウνS → йΚウχT → иΤウξU → зΙウψV → жΣウοW → еΘウωX → дΡウπY → гΗウАZ → вΠウρa → бΖウБb → аΟウςc → ЯΕウВd → ЮΞウσe → ЭΔウГf → ЬΝウτg → ЫΓウДh → ЪΜウυi → ЩΒウЕj → ШΛウφk → ЧΑウЖl → ЦΚウχm → ХzウЗn → ФΙウψo → УyウИp → ТΘウωq → СxウЙr → РΗウАs → ПwウКt → ОΖウБu → НvウЛv → МΕウВw → ЛuウМx → НΒウЕv → МyウИw → ЛΑウЖx → КxウЙy → КyウИy → ЙyウИz → ЙwウКz