Base 188: 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
22 max steps20 → 1ガ → オ3
395 max steps100 → 0キキ → ガキ1 → カキ2 → オキ3 → ォキ4 → エキ5 → ェキ6 → ウキ7 → ゥキ8 → イキ9 → ィキA → アキB → ァキC → яキD → юキE → эキF → ьキG → ыキH → ъキI → щキJ → шキK → чキL → цキM → хキN → фキO → уキP → тキQ → сキR → рキS → пキT → оキU → нキV → мキW → лキX → кキY → йキZ → иキa → зキb → жキc → еキd → дキe → гキf → вキg → бキh → аキi → Яキj → Юキk → Эキl → Ьキm → Ыキn → Ъキo → Щキp → Шキq → Чキr → Цキs → Хキt → Фキu → Уキv → Тキw → Сキx → Рキy → Пキz → ОキΑ → НキΒ → МキΓ → ЛキΔ → КキΕ → ЙキΖ → ИキΗ → ЗキΘ → ЖキΙ → ЕキΚ → ДキΛ → ГキΜ → ВキΝ → БキΞ → АキΟ → ωキΠ → ψキΡ → χキΣ → φキΤ → υキΥ → τキΦ → σキΧ → ςキΨ → ρキΩ → πキα → οキβ → ξキγ → νキδ → μキε → λキζ → κキη → ιキθ → θキι
410 max steps600f → f5ェд → アτΥC → хNфO → ЮЫml → ιδμι → 7キキウ → ウ6ウ8 → яьFE → смVS → ХМΒu
569 max steps10000 → 0キキキキ → ガキキキ1 → ガ0キガ2 → キォキ31 → ガォキ32 → カエキ43 → オウキ64 → ォィキ95 → エюキD6 → ェщキI7 → ウуキO8 → ゥмキV9 → イдキdA → ィЫキmB → アСキwC → ァЖキΘD → яτキΥE → юηキιF → эΤキυG → ьζキκH → ыΣキφI → ъεキλJ → щΡキχK → шδキμL → чΠキψM → цγキνN → хΟキωO → фβキξP → уΞキАQ → тαキοR → сΝキБS → рΩキπT → пΜキВU → оΨキρV → нΛキГW → мΧキςX → лΚキДY → кΦキσZ → йΙキЕa → иΥキτb → зΘキЖc → жΤキυd → еΗキЗe → дΣキφf → гΖキИg → вΡキχh → бΕキЙi → аΠキψj → ЯΔキКk → ЮΟキωl → ЭΓキЛm → ЬΞキАn → ЫΒキМo → ЪΝキБp → ЩΑキНq → ШΜキВr → ЧzキОs → ЦΛキГt → ХyキПu → ФΚキДv → УxキРw → ТΙキЕx → СwキСy → ТΖキИx → СzキОy → РΕキЙz → ПyキПΑ → РΒキМz → ПΒキМΑ