Base 128: Maximum Iteration Sequences: Cycle Start

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ
λμνξοπρςστυφχψωА
БВГДЕЖЗИЙКЛМНОПР

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 → 1П → Н3
365 max steps100 → 0РР → ПР1 → ОР2 → НР3 → МР4 → ЛР5 → КР6 → ЙР7 → ИР8 → ЗР9 → ЖРA → ЕРB → ДРC → ГРD → ВРE → БРF → АРG → ωРH → ψРI → χРJ → φРK → υРL → τРM → σРN → ςРO → ρРP → πРQ → οРR → ξРS → νРT → μРU → λРV → κРW → ιРX → θРY → ηРZ → ζРa → εРb → δРc → γРd → βРe → αРf → ΩРg → ΨРh → ΧРi → ΦРj → ΥРk → ΤРl → ΣРm → ΡРn → ΠРo → ΟРp → ΞРq → ΝРr → ΜРs → ΛРt → ΚРu → ΙРv → ΘРw → ΗРx → ΖРy → ΕРz → ΔРΑ → ΓРΒ → ΒРΓ
49 max steps1004 → 40ПН → ПИ72 → НАF4 → ЙκV8 → БΒΒG → κРРW → κVκX → ΓzΔΓ → 3РРН
549 max stepsΒ0000 → ΑРРРΔ → ΔzРΔΒ → Ε1РОΑ → ПΑРΓ2 → ОΒРΒ3 → НzРΔ4 → МΑРΓ5 → ЛyРΕ6 → КzРΔ7 → ЙxРΖ8 → ИyРΕ9 → ЗwРΗA → ЖxРΖB → ЕvРΘC → ДwРΗD → ГuРΙE → ВvРΘF → БtРΚG → АuРΙH → ωsРΛI → ψtРΚJ → χrРΜK → φsРΛL → υqРΝM → τrРΜN → σpРΞO → ςqРΝP → ρoРΟQ → πpРΞR → οnРΠS → ξoРΟT → νmРΡU → μnРΠV → λlРΣW → κmРΡX → ιkРΤY → θlРΣZ → ηjРΥa → ζkРΤb → εiРΦc → δjРΥd → γhРΧe → βiРΦf → αgРΨg → ΩhРΧh → ΨfРΩi → αeРαg → βhРΧf → αhРΧg
649 max steps300000 → 2РРРРО → О1РРО3 → ПМРР32 → ОН2Н33 → МКЙ665 → ЗДВDCA → χςξROK → γΣΚtme → mVFАλΤ → λΔVκΑW → ΔΒ2НΓΒ → Л20ПО6 → ПМДB42 → НИςN84 → ЙАΣlG8 → БκVκWG → λΓΑΓΒW → Γ20ПОΓ → ПЛРР42 → ОМ3М43 → ЛЙЗ876 → ЕВψHEC → σξζZSO → ΤΚtΚum → WGEБАλ → νκΒΒWU → ΗΑРРΓy → ΖΔ3МΑz → Й62НК8 → ЛДАFC6 → ЕςκVOC → σΣΒΒmO → ΤUРРλm → μΣFАmV → λΕUλzW → ΕΓ4ЛΒΑ → З40ПМA → ПИφJ82 → НАβdG4 → ЙκlΣW8 → БΒVκΓG → λΓ0ПΒW → ПΓ0ПΒ2 → ПН0П32 → ПНЙ632 → НКВD64 → ЙДξRC8 → БςΚtOG → λΣFАmW