Base 187: 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
24 max steps10 → 0ガ → カ1 → ォ3 → ゥ7
394 max steps100 → 0ガガ → カガ1 → オガ2 → ォガ3 → エガ4 → ェガ5 → ウガ6 → ゥガ7 → イガ8 → ィガ9 → アガA → ァガB → яガC → юガD → эガE → ьガF → ыガG → ъガH → щガI → шガJ → чガK → цガL → хガM → фガN → уガO → тガP → сガQ → рガR → пガS → оガT → нガU → мガV → лガW → кガX → йガY → иガZ → зガa → жガb → еガc → дガd → гガe → вガf → бガg → аガh → Яガi → Юガj → Эガk → Ьガl → Ыガm → Ъガn → Щガo → Шガp → Чガq → Цガr → Хガs → Фガt → Уガu → Тガv → Сガw → Рガx → Пガy → Оガz → НガΑ → МガΒ → ЛガΓ → КガΔ → ЙガΕ → ИガΖ → ЗガΗ → ЖガΘ → ЕガΙ → ДガΚ → ГガΛ → ВガΜ → БガΝ → АガΞ → ωガΟ → ψガΠ → χガΡ → φガΣ → υガΤ → τガΥ → σガΦ → ςガΧ → ρガΨ → πガΩ → οガα → ξガβ → νガγ → μガδ → λガε → κガζ → ιガη → θガθ
44 max stepsι000 → θガガθ → θηθι → 1ガガカ → カ0カ2
569 max steps1000C → C0ガカァ → ガэガD1 → カэガD2 → オьガE3 → ォъガG4 → エчガJ5 → ェуガN6 → ウоガS7 → ゥиガY8 → イбガf9 → ィЩガnA → アРガwB → ァЖガΗC → яυガΣD → юιガζE → эΥガσF → ьεガκG → ыΤガτH → ъδガλI → щΣガυJ → шγガμK → чΡガφL → цβガνM → хΠガχN → фαガξO → уΟガψP → тΩガοQ → сΞガωR → рΨガπS → пΝガАT → оΧガρU → нΜガБV → мΦガςW → лΛガВX → кΥガσY → йΚガГZ → иΤガτa → зΙガДb → жΣガυc → еΘガЕd → дΡガφe → гΗガЖf → вΠガχg → бΖガЗh → аΟガψi → ЯΕガИj → ЮΞガωk → ЭΔガЙl → ЬΝガАm → ЫΓガКn → ЪΜガБo → ЩΒガЛp → ШΛガВq → ЧΑガМr → ЦΚガГs → ХzガНt → ФΙガДu → УyガОv → ТΘガЕw → СxガПx → РΗガЖy → ПwガРz → СΔガЙx → РΑガМy → ПΓガКz → ОzガНΑ → ОΑガМΑ → НΑガМΒ → НyガОΒ