Base 170: 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ァ

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 steps1 → 0
22 max steps20 → 1щ → ч3
386 max steps100 → 0ъъ → щъ1 → шъ2 → чъ3 → цъ4 → хъ5 → фъ6 → уъ7 → тъ8 → съ9 → ръA → пъB → оъC → нъD → мъE → лъF → къG → йъH → иъI → зъJ → жъK → еъL → дъM → гъN → въO → бъP → аъQ → ЯъR → ЮъS → ЭъT → ЬъU → ЫъV → ЪъW → ЩъX → ШъY → ЧъZ → Цъa → Хъb → Фъc → Уъd → Тъe → Съf → Ръg → Пъh → Оъi → Нъj → Мъk → Лъl → Къm → Йъn → Иъo → Зъp → Жъq → Еъr → Дъs → Гъt → Въu → Бъv → Аъw → ωъx → ψъy → χъz → φъΑ → υъΒ → τъΓ → σъΔ → ςъΕ → ρъΖ → πъΗ → οъΘ → ξъΙ → νъΚ → μъΛ → λъΜ → κъΝ → ιъΞ → θъΟ → ηъΠ → ζъΡ → εъΣ → δъΤ → γъΥ → βъΦ → αъΧ → ΩъΨ → ΨъΩ
47 max stepsL00Γ → ΓKеυ → СfРg → βΨΨΧ → 3ъъч → ч2ч4 → хт76 → пкFC
563 max stepsΨ0000 → Χъъъα → αΦъαΨ → β1ъшΧ → щΧъΩ2 → шΨъΨ3 → чΦъα4 → цΧъΩ5 → хΥъβ6 → фΦъα7 → уΤъγ8 → тΥъβ9 → сΣъδA → рΤъγB → пΡъεC → оΣъδD → нΠъζE → мΡъεF → лΟъηG → кΠъζH → йΞъθI → иΟъηJ → зΝъιK → жΞъθL → еΜъκM → дΝъιN → гΛъλO → вΜъκP → бΚъμQ → аΛъλR → ЯΙъνS → ЮΚъμT → ЭΘъξU → ЬΙъνV → ЫΗъοW → ЪΘъξX → ЩΖъπY → ШΗъοZ → ЧΕъρa → ЦΖъπb → ХΔъςc → ФΕъρd → УΓъσe → ТΔъςf → СΒъτg → РΓъσh → ПΑъυi → ОΒъτj → Нzъφk → МΑъυl → Лyъχm → Кzъφn → Йxъψo → Иyъχp → Зwъωq → Жxъψr → ЕvъАs → Дwъωt → ГuъБu → ВvъАv → БtъВw → ГsъГu → ДvъАt → ГvъАu