Base 128: Maximum Iteration Sequences: Full Cycle

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
Full Cycle
12 max steps100
29 max steps20 → 1П → Н3Й7БFλVΓΒП1Н3
366 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 → ΒРΓΒРΓ
418 max steps1004 → 40ПН → ПИ72 → НАF4 → ЙκV8 → БΒΒG → κРРW → κVκX → ΓzΔΓ → 3РРНН2Н4ЛИ76ЕАFCσκVOΤΒΒmVРРλλUλWΕΒΒΑ3РРН
553 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 → αhРΧgΩgРΨhΩfРΩhαfРΩgαhРΧg
686 max stepsF000In → nIEБψΣ → νζTμaU → ΘΖsΛyx → IA6ЙЖω → ГφζZKE → οβtΚeS → ΛlFАΤu → λXFАιW → λΓyΕΒW → Γ60ПКΓ → ПГРРC2 → ОДBДC3 → ЛσρON6 → ЕΥΠnkC → σZRξηO → ΤΛuΙtm → WHDВωλ → οθΒΒYS → ΛwРРΗu → ΚΘ3Мwv → ЙEAЕВ8 → БυνSLG → λΩΘvgW → ΓhBДΨΓ → σeРРαO → ςβHψeP → ηΡkΤna → uYSνθΛ → ΙxFАΗw → λC8ЗДW → ωςΒΒOI → ηΡРРma → ζΣDВmb → οsUλΜS → ΛΕIχzu → εG4ЛАc → ЗκpΞWA → χΒNςΓK → γΤ0Пle → ПmWιΣ2 → НΑUλΔ4 → ЙΕ2Нz8 → ЛБ4ЛF6 → ЗЕλUBA → χτΔzMK → γΧ3МieЙmcγΣ8БoUλΠGλΕQοzWΝΓ4ЛΒsЗK0ПφAПχαeJ2НδjΥc4ЙpZζΟ8БuOρΚGλΡEБnWνΓSνΒUΙΗ0ПxwПC8ЗД2НωρOH4ЙθΠnY8БxRξΗGλΛ8ЗtWωΓGωΒIιη0ПZYПyuΙΖ2НE6ЙВ4ЙГνSD8БπΘvQGλΞBДqWσΓMσΒOΦΤ0ПlkПaWιζ2НΑsΛΔ4ЙI2Нψ8ЛБεaF6ЕμrΜUCσΖJφyOγΤ6ЙleГmWιΣEοΑUλΔSΛΕ2НzuЛG4ЛА6ЗЕιWBAχτzΔMKγΧ3Мie