Base 179: 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イ → ィ1 → ァ3 → ь7
390 max steps100 → 0イイ → ィイ1 → アイ2 → ァイ3 → яイ4 → юイ5 → эイ6 → ьイ7 → ыイ8 → ъイ9 → щイA → шイB → чイC → цイD → хイE → фイF → уイG → тイH → сイI → рイJ → пイK → оイL → нイM → мイN → лイO → кイP → йイQ → иイR → зイS → жイT → еイU → дイV → гイW → вイX → бイY → аイZ → Яイa → Юイb → Эイc → Ьイd → Ыイe → Ъイf → Щイg → Шイh → Чイi → Цイj → Хイk → Фイl → Уイm → Тイn → Сイo → Рイp → Пイq → Оイr → Нイs → Мイt → Лイu → Кイv → Йイw → Иイx → Зイy → Жイz → ЕイΑ → ДイΒ → ГイΓ → ВイΔ → БイΕ → АイΖ → ωイΗ → ψイΘ → χイΙ → φイΚ → υイΛ → τイΜ → σイΝ → ςイΞ → ρイΟ → πイΠ → οイΡ → ξイΣ → νイΤ → μイΥ → λイΦ → κイΧ → ιイΨ → θイΩ → ηイα → ζイβ → εイγ → δイδ
44 max stepsε000 → δイイδ → δγδε → 1イイィ → ィ0ィ2
565 max steps30000 → 2イイイア → ア1イア3 → ィэイ52 → アьイ63 → ァъイ84 → ячイB5 → юуイF6 → эоイK7 → ьиイQ8 → ыбイX9 → ъЩイfA → щРイoB → шЖイyC → чυイΚD → цιイΧE → хΥイλF → фΦイκG → уΤイμH → тΥイλI → сΣイνJ → рΤイμK → пΡイξL → оΣイνM → нΠイοN → мΡイξO → лΟイπP → кΠイοQ → йΞイρR → иΟイπS → зΝイςT → жΞイρU → еΜイσV → дΝイςW → гΛイτX → вΜイσY → бΚイυZ → аΛイτa → ЯΙイφb → ЮΚイυc → ЭΘイχd → ЬΙイφe → ЫΗイψf → ЪΘイχg → ЩΖイωh → ШΗイψi → ЧΕイАj → ЦΖイωk → ХΔイБl → ФΕイАm → УΓイВn → ТΔイБo → СΒイГp → РΓイВq → ПΑイДr → ОΒイГs → НzイЕt → МΑイДu → ЛyイЖv → КzイЕw → ЙxイЗx → ИyイЖy → ЗwイИz → ЙvイЙx → КyイЖw → ЙyイЖx