Base 175: 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
26 max steps10 → 0я → ю1 → ь3 → ш7 → рF → аV
388 max steps100 → 0яя → юя1 → эя2 → ья3 → ыя4 → ъя5 → щя6 → шя7 → чя8 → ця9 → хяA → фяB → уяC → тяD → сяE → ряF → пяG → ояH → няI → мяJ → ляK → кяL → йяM → ияN → зяO → жяP → еяQ → дяR → гяS → вяT → бяU → аяV → ЯяW → ЮяX → ЭяY → ЬяZ → Ыяa → Ъяb → Щяc → Шяd → Чяe → Цяf → Хяg → Фяh → Уяi → Тяj → Сяk → Ряl → Пяm → Ояn → Няo → Мяp → Ляq → Кяr → Йяs → Ияt → Зяu → Жяv → Еяw → Дяx → Гяy → Вяz → БяΑ → АяΒ → ωяΓ → ψяΔ → χяΕ → φяΖ → υяΗ → τяΘ → σяΙ → ςяΚ → ρяΛ → πяΜ → οяΝ → ξяΞ → νяΟ → μяΠ → λяΡ → κяΣ → ιяΤ → θяΥ → ηяΦ → ζяΧ → εяΨ → δяΩ → γяα → βяβ
44 max stepsγ000 → βяяβ → βαβγ → 1яяю → ю0ю2
565 max steps10006 → 60яюъ → ячя71 → ючя72 → эця83 → ьфяA4 → ысяD5 → ъняH6 → щияM7 → швяS8 → чЫяZ9 → цУяhA → хКяqB → фАяΑC → уοяΜD → тγяΩE → сΞяνF → рΨяδG → пΝяξH → оΧяεI → нΜяοJ → мΦяζK → лΛяπL → кΥяηM → йΚяρN → иΤяθO → зΙяςP → жΣяιQ → еΘяσR → дΡяκS → гΗяτT → вΠяλU → бΖяυV → аΟяμW → ЯΕяφX → ЮΞяνY → ЭΔяχZ → ЬΝяξa → ЫΓяψb → ЪΜяοc → ЩΒяωd → ШΛяπe → ЧΑяАf → ЦΚяρg → ХzяБh → ФΙяςi → УyяВj → ТΘяσk → СxяГl → РΗяτm → ПwяДn → ОΖяυo → НvяЕp → МΕяφq → ЛuяЖr → КΔяχs → ЙtяЗt → ИΓяψu → ЗsяИv → ЙzяБt → ИwяДu → ЗyяВv → ЖvяЕw → ЖwяДw → ЕwяДx → ЕuяЖx