Base 173: 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
23 max steps10 → 0э → ь1 → ъ3
387 max steps100 → 0ээ → ьэ1 → ыэ2 → ъэ3 → щэ4 → шэ5 → чэ6 → цэ7 → хэ8 → фэ9 → уэA → тэB → сэC → рэD → пэE → оэF → нэG → мэH → лэI → кэJ → йэK → иэL → зэM → жэN → еэO → дэP → гэQ → вэR → бэS → аэT → ЯэU → ЮэV → ЭэW → ЬэX → ЫэY → ЪэZ → Щэa → Шэb → Чэc → Цэd → Хэe → Фэf → Уэg → Тэh → Сэi → Рэj → Пэk → Оэl → Нэm → Мэn → Лэo → Кэp → Йэq → Иэr → Зэs → Жэt → Еэu → Дэv → Гэw → Вэx → Бэy → Аэz → ωэΑ → ψэΒ → χэΓ → φэΔ → υэΕ → τэΖ → σэΗ → ςэΘ → ρэΙ → πэΚ → οэΛ → ξэΜ → νэΝ → μэΞ → λэΟ → κэΠ → ιэΡ → θэΣ → ηэΤ → ζэΥ → εэΦ → δэΧ → γэΨ → βэΩ → αэα
44 max stepsβ000 → αээα → αΩαβ → 1ээь → ь0ь2
563 max stepsΩ0000 → Ψэээγ → γΧэγΩ → δ2эъΨ → ыΨэβ3 → ъΩэα4 → щΧэγ5 → шΨэβ6 → чΦэδ7 → цΧэγ8 → хΥэε9 → фΦэδA → уΤэζB → тΥэεC → сΣэηD → рΤэζE → пΡэθF → оΣэηG → нΠэιH → мΡэθI → лΟэκJ → кΠэιK → йΞэλL → иΟэκM → зΝэμN → жΞэλO → еΜэνP → дΝэμQ → гΛэξR → вΜэνS → бΚэοT → аΛэξU → ЯΙэπV → ЮΚэοW → ЭΘэρX → ЬΙэπY → ЫΗэςZ → ЪΘэρa → ЩΖэσb → ШΗэςc → ЧΕэτd → ЦΖэσe → ХΔэυf → ФΕэτg → УΓэφh → ТΔэυi → СΒэχj → РΓэφk → ПΑэψl → ОΒэχm → Нzэωn → МΑэψo → ЛyэАp → Кzэωq → ЙxэБr → ИyэАs → ЗwэВt → ЖxэБu → ЕvэГv → ДwэВw → ГuэДx → ЕtэЕv → ЖwэВu → ЕwэВv