Base 162: 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

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
22 max steps20 → 1с → п3
382 max steps100 → 0тт → ст1 → рт2 → пт3 → от4 → нт5 → мт6 → лт7 → кт8 → йт9 → итA → зтB → жтC → етD → дтE → гтF → втG → бтH → атI → ЯтJ → ЮтK → ЭтL → ЬтM → ЫтN → ЪтO → ЩтP → ШтQ → ЧтR → ЦтS → ХтT → ФтU → УтV → ТтW → СтX → РтY → ПтZ → Отa → Нтb → Мтc → Лтd → Ктe → Йтf → Итg → Зтh → Жтi → Етj → Дтk → Гтl → Втm → Бтn → Атo → ωтp → ψтq → χтr → φтs → υтt → τтu → σтv → ςтw → ρтx → πтy → οтz → ξтΑ → νтΒ → μтΓ → λтΔ → κтΕ → ιтΖ → θтΗ → ηтΘ → ζтΙ → εтΚ → δтΛ → γтΜ → βтΝ → αтΞ → ΩтΟ → ΨтΠ → ΧтΡ → ΦтΣ → ΥтΤ → ΤтΥ
47 max stepsK00z → zJЮπ → ЛdКe → ΧΤΤΣ → 3ттп → п2п4 → нк76 → звFC
563 max steps1000C → C0тсз → тдтD1 → сдтD2 → ргтE3 → пбтG4 → оЮтJ5 → нЪтN6 → мХтS7 → лПтY8 → кИтf9 → йАтnA → иρтwB → зηтΗC → жΥтΣD → еΘтζE → дΡтΦF → гΗтηG → вΠтΧH → бΖтθI → аΟтΨJ → ЯΕтιK → ЮΞтΩL → ЭΔтκM → ЬΝтαN → ЫΓтλO → ЪΜтβP → ЩΒтμQ → ШΛтγR → ЧΑтνS → ЦΚтδT → ХzтξU → ФΙтεV → УyтοW → ТΘтζX → СxтπY → РΗтηZ → Пwтρa → ОΖтθb → Нvтςc → МΕтιd → Лuтσe → КΔтκf → Йtтτg → ИΓтλh → Зsтυi → ЖΒтμj → Еrтφk → ДΑтνl → Гqтχm → Вzтξn → Бpтψo → Аyтοp → ωoтωq → Аvтςp → ωrтφq → ψuтσr → χqтχs → ψrтφr → χtтτs → φqтχt → ψqтχr → ψtтτr → χrтφs