Base 177: 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
23 max steps10 → 0ア → ァ1 → ю3
389 max steps100 → 0アア → ァア1 → яア2 → юア3 → эア4 → ьア5 → ыア6 → ъア7 → щア8 → шア9 → чアA → цアB → хアC → фアD → уアE → тアF → сアG → рアH → пアI → оアJ → нアK → мアL → лアM → кアN → йアO → иアP → зアQ → жアR → еアS → дアT → гアU → вアV → бアW → аアX → ЯアY → ЮアZ → Эアa → Ьアb → Ыアc → Ъアd → Щアe → Шアf → Чアg → Цアh → Хアi → Фアj → Уアk → Тアl → Сアm → Рアn → Пアo → Оアp → Нアq → Мアr → Лアs → Кアt → Йアu → Иアv → Зアw → Жアx → Еアy → Дアz → ГアΑ → ВアΒ → БアΓ → АアΔ → ωアΕ → ψアΖ → χアΗ → φアΘ → υアΙ → τアΚ → σアΛ → ςアΜ → ρアΝ → πアΞ → οアΟ → ξアΠ → νアΡ → μアΣ → λアΤ → κアΥ → ιアΦ → θアΧ → ηアΨ → ζアΩ → εアα → δアβ → γアγ
44 max stepsδ000 → γアアγ → γβγδ → 1アアァ → ァ0ァ2
568 max steps10007 → 70アァы → アшア81 → ァшア82 → ячア93 → юхアB4 → этアE5 → ьоアI6 → ыйアN7 → ъгアT8 → щЬアa9 → шФアiA → чЛアrB → цБアΒC → хπアΝD → фδアαE → уΟアξF → тΩアεG → сΞアοH → рΨアζI → пΝアπJ → оΧアηK → нΜアρL → мΦアθM → лΛアςN → кΥアιO → йΚアσP → иΤアκQ → зΙアτR → жΣアλS → еΘアυT → дΡアμU → гΗアφV → вΠアνW → бΖアχX → аΟアξY → ЯΕアψZ → ЮΞアοa → ЭΔアωb → ЬΝアπc → ЫΓアАd → ЪΜアρe → ЩΒアБf → ШΛアςg → ЧΑアВh → ЦΚアσi → ХzアГj → ФΙアτk → УyアДl → ТΘアυm → СxアЕn → РΗアφo → ПwアЖp → ОΖアχq → НvアЗr → МΕアψs → ЛuアИt → КΔアωu → ЙtアЙv → КΑアВu → ЙwアЖv → ИzアГw → ЗvアЗx → ИwアЖw → ЗyアДx → ЖvアЗy → ИvアЗw → ИyアДw → ЗwアЖx