Base 157: 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

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 → 0н → м1 → к3
379 max steps100 → 0нн → мн1 → лн2 → кн3 → йн4 → ин5 → зн6 → жн7 → ен8 → дн9 → гнA → внB → бнC → анD → ЯнE → ЮнF → ЭнG → ЬнH → ЫнI → ЪнJ → ЩнK → ШнL → ЧнM → ЦнN → ХнO → ФнP → УнQ → ТнR → СнS → РнT → ПнU → ОнV → НнW → МнX → ЛнY → КнZ → Йнa → Инb → Знc → Жнd → Енe → Днf → Гнg → Внh → Бнi → Анj → ωнk → ψнl → χнm → φнn → υнo → τнp → σнq → ςнr → ρнs → πнt → οнu → ξнv → νнw → μнx → λнy → κнz → ιнΑ → θнΒ → ηнΓ → ζнΔ → εнΕ → δнΖ → γнΗ → βнΘ → αнΙ → ΩнΚ → ΨнΛ → ΧнΜ → ΦнΝ → ΥнΞ → ΤнΟ → ΣнΠ → ΡнΡ
44 max stepsΣ000 → ΡннΡ → ΡΠΡΣ → 1ннм → м0м2
559 max steps10000 → 0нннн → мннн1 → м0нм2 → нйн31 → мйн32 → лин43 → кжн64 → йгн95 → иЯнD6 → зЪнI7 → жФнO8 → еНнV9 → дЕнdA → гφнmB → вμнwC → бαнΘD → аΝнΥE → ЯΗнβF → ЮΜнΦG → ЭΖнγH → ЬΛнΧI → ЫΕнδJ → ЪΚнΨK → ЩΔнεL → ШΙнΩM → ЧΓнζN → ЦΘнαO → ХΒнηP → ФΗнβQ → УΑнθR → ТΖнγS → СzнιT → РΕнδU → ПyнκV → ОΔнεW → НxнλX → МΓнζY → ЛwнμZ → КΒнηa → Йvнνb → ИΑнθc → Зuнξd → Жzнιe → Еtнοf → Дyнκg → Гsнπh → Вxнλi → Бrнρj → Аwнμk → ωqнςl → ψvнνm → χpнσn → φuнξo → υoнτp → υsнπp → τpнσq → τqнςq → σqнςr → σoнτr