Base 185: 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
アィイゥウェエォオカガキギクグケ

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 → 0オ → ォ1 → ェ3
393 max steps100 → 0オオ → ォオ1 → エオ2 → ェオ3 → ウオ4 → ゥオ5 → イオ6 → ィオ7 → アオ8 → ァオ9 → яオA → юオB → эオC → ьオD → ыオE → ъオF → щオG → шオH → чオI → цオJ → хオK → фオL → уオM → тオN → сオO → рオP → пオQ → оオR → нオS → мオT → лオU → кオV → йオW → иオX → зオY → жオZ → еオa → дオb → гオc → вオd → бオe → аオf → Яオg → Юオh → Эオi → Ьオj → Ыオk → Ъオl → Щオm → Шオn → Чオo → Цオp → Хオq → Фオr → Уオs → Тオt → Сオu → Рオv → Пオw → Оオx → Нオy → Мオz → ЛオΑ → КオΒ → ЙオΓ → ИオΔ → ЗオΕ → ЖオΖ → ЕオΗ → ДオΘ → ГオΙ → ВオΚ → БオΛ → АオΜ → ωオΝ → ψオΞ → χオΟ → φオΠ → υオΡ → τオΣ → σオΤ → ςオΥ → ρオΦ → πオΧ → οオΨ → ξオΩ → νオα → μオβ → λオγ → κオδ → ιオε → θオζ → ηオη
44 max stepsθ000 → ηオオη → ηζηθ → 1オオォ → ォ0ォ2
567 max steps10000 → 0オオオオ → ォオオオ1 → ォ0オォ2 → オウオ31 → ォウオ32 → エゥオ43 → ェィオ64 → ウяオ95 → ゥыオD6 → イцオI7 → ィрオO8 → アйオV9 → ァбオdA → яШオmB → юОオwC → эГオΘD → ьρオΥE → ыδオιF → ъΤオςG → щγオκH → шΣオσI → чβオλJ → цΡオτK → хαオμL → фΠオυM → уΩオνN → тΟオφO → сΨオξP → рΞオχQ → пΧオοR → оΝオψS → нΦオπT → мΜオωU → лΥオρV → кΛオАW → йΤオςX → иΚオБY → зΣオσZ → жΙオВa → еΡオτb → дΘオГc → гΠオυd → вΗオДe → бΟオφf → аΖオЕg → ЯΞオχh → ЮΕオЖi → ЭΝオψj → ЬΔオЗk → ЫΜオωl → ЪΓオИm → ЩΛオАn → ШΒオЙo → ЧΚオБp → ЦΑオКq → ХΙオВr → ФzオЛs → УΘオГt → ТyオМu → СΗオДv → РxオНw → ПΖオЕx → ОwオОy → ПΓオИx → ОzオЛy → НΒオЙz → МyオМΑ