Base 195: Maximum Iteration Sequences: Full Cycle

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ
λμνξοπρςστυφχψωА
БВГДЕЖЗИЙКЛМНОПР
СТУФХЦЧШЩЪЫЬЭЮЯа
бвгдежзийклмнопр
стуфхцчшщъыьэюяァ
アィイゥウェエォオカガキギクグケ
ゲコゴサザシジスズセゼソゾタダチ

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 steps1 → 0 → 0
225 max steps10 → 0ゴ → コ1 → ケ3 → キ7 → ゥF → фV → ФΒ → ΖР → xШ → ΞИ → hи → φβ → Jァ → мd → ДΣ → Zр → МΚ → pа → ζς → Bォ → ьN → дl → ξκ → 3ケ → キ7
3100 max steps100 → 0ゴゴ → コゴ1 → ゲゴ2 → ケゴ3 → グゴ4 → クゴ5 → ギゴ6 → キゴ7 → ガゴ8 → カゴ9 → オゴA → ォゴB → エゴC → ェゴD → ウゴE → ゥゴF → イゴG → ィゴH → アゴI → ァゴJ → яゴK → юゴL → эゴM → ьゴN → ыゴO → ъゴP → щゴQ → шゴR → чゴS → цゴT → хゴU → фゴV → уゴW → тゴX → сゴY → рゴZ → пゴa → оゴb → нゴc → мゴd → лゴe → кゴf → йゴg → иゴh → зゴi → жゴj → еゴk → дゴl → гゴm → вゴn → бゴo → аゴp → Яゴq → Юゴr → Эゴs → Ьゴt → Ыゴu → Ъゴv → Щゴw → Шゴx → Чゴy → Цゴz → ХゴΑ → ФゴΒ → УゴΓ → ТゴΔ → СゴΕ → РゴΖ → ПゴΗ → ОゴΘ → НゴΙ → МゴΚ → ЛゴΛ → КゴΜ → ЙゴΝ → ИゴΞ → ЗゴΟ → ЖゴΠ → ЕゴΡ → ДゴΣ → ГゴΤ → ВゴΥ → БゴΦ → АゴΧ → ωゴΨ → ψゴΩ → χゴα → φゴβ → υゴγ → τゴδ → σゴε → ςゴζ → ρゴη → πゴθ → οゴι → ξゴκ → νゴλ → μゴμ → λゴν → μゴμ
416 max stepsν000 → μゴゴμ → μλμν → 1ゴゴコ → コ0コ2 → コグ32 → ケガ74 → キイF8 → ゥуVG → фУΒW → ФΕРΓ → ΖyЦС → ΜyЦЛ → ΜmвЛ → μmвν → μ0コν → コ0コ2
576 max steps30000 → 2ゴゴゴゲ → ゲ1ゴゲ3 → コギゴ52 → ゲキゴ63 → ケカゴ84 → グエゴB5 → クイゴF6 → ギюゴK7 → キшゴQ8 → ガсゴX9 → カйゴfA → オаゴoB → ォЦゴyC → エЛゴΚD → ェωゴΧE → ウμゴλF → ゥΧゴωG → イκゴνH → ィΦゴАI → アιゴξJ → ァΥゴБK → яθゴοL → юΤゴВM → эηゴπN → ьΣゴГO → ыζゴρP → ъΡゴДQ → щεゴςR → шΠゴЕS → чδゴσT → цΟゴЖU → хγゴτV → фΞゴЗW → уβゴυX → тΝゴИY → сαゴφZ → рΜゴЙa → пΩゴχb → оΛゴКc → нΨゴψd → мΚゴЛe → лΧゴωf → кΙゴМg → йΦゴАh → иΘゴНi → зΥゴБj → жΗゴОk → еΤゴВl → дΖゴПm → гΣゴГn → вΕゴРo → бΡゴДp → аΔゴСq → ЯΠゴЕr → ЮΓゴТs → ЭΟゴЖt → ЬΒゴУu → ЫΞゴЗv → ЪΑゴФw → ЩΝゴИx → ШzゴХy → ЧΜゴЙz → ЦyゴЦΑ → ЧΙゴМz → ЦΒゴУΑ → ХΘゴНΒ → ФΑゴФΓ → ХΕゴРΒ → ФΔゴСΓ → УΔゴСΔ → ТΓゴТΕ → УΑゴФΔ → ХΔゴСΒ → ФΕゴРΓ → УΓゴТΔ → УΓゴТΔ