Base 129: 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

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 steps10 → 0С → Р1 → О3К7ВFμVΔΒО3
367 max steps100 → 0СС → РС1 → ПС2 → ОС3 → НС4 → МС5 → ЛС6 → КС7 → ЙС8 → ИС9 → ЗСA → ЖСB → ЕСC → ДСD → ГСE → ВСF → БСG → АСH → ωСI → ψСJ → χСK → φСL → υСM → τСN → σСO → ςСP → ρСQ → πСR → οСS → ξСT → νСU → μСV → λСW → κСX → ιСY → θСZ → ηСa → ζСb → εСc → δСd → γСe → βСf → αСg → ΩСh → ΨСi → ΧСj → ΦСk → ΥСl → ΤСm → ΣСn → ΡСo → ΠСp → ΟСq → ΞСr → ΝСs → ΜСt → ΛСu → ΚСv → ΙСw → ΘСx → ΗСy → ΖСz → ΕСΑ → ΔСΒ → ΓСΓΒСΔΓСΓ
411 max stepsΔ000 → ΓССΓ → ΓΒΓΔ → 1ССР → Р0Р2РН32ОЙ74КБF8ВλVGμΓΒWΔ0РΓР0Р2
553 max steps10007 → 70СРЛ → СИС81 → РИС82 → ПЗС93 → ОЕСB4 → НВСE5 → МψСI6 → ЛσСN7 → КνСT8 → ЙζСa9 → ИΧСiA → ЗΝСrB → ЖΓСΒC → ЕrСΝD → ДΑСΔE → ГqСΞF → ВzСΕG → БpСΟH → АyСΖI → ωoСΠJ → ψxСΗK → χnСΡL → φwСΘM → υmСΣN → τvСΙO → σlСΤP → ςuСΚQ → ρkСΥR → πtСΛS → οjСΦT → ξsСΜU → νiСΧV → μrСΝW → λhСΨX → κqСΞY → ιgСΩZ → θpСΟa → ηfСαb → ζoСΠc → εeСβd → δnСΡe → γdСγf → δkСΥe → γgСΩf → βjСΦg → αfСαh → βgСΩg → αiСΧh → ΩfСαi → βfСαg → βiСΧg → αgСΩhαgСΩh
677 max steps1000VΓ → ΓV0РμΔ → РΕ0РΑ2 → РО3Н32 → ОЛЙ764 → КЕБFC8 → ВσλVOG → μΤΓΒmW → ΔW0РλΓ → РΓ0РΓ2 → РНСС32 → ПО2О33 → НЛК665 → ИЕГDCA → ψσοROK → δΤΛtme → nWGАλΤ → κΓUμΓY → ΖyССΖΑ → ΗΔССΑz → ΖΕ2ОΑΑ → М53НМ6 → КЗЕBA8 → ВχσNKG → μγΤleW → ΔmWκΤΓ → ΒW0РλΕ → РΓ2ОΓ2 → ОЛСС54 → НМ2О55 → МИЖA96 → ЖωυLIC → τηΨhaO → ΥueβΛm → lXFБκΦ → μΑYθΕW → Δx3НΘΓ → КA0РЗ8 → РВφKF2 → ОναfU4 → КΗiΧy8 → Вd7ЙδG → ВμnΡVG → μΕSξΑW → ΚΔ3НΒw → КD1ПД8ОВπQF4КνΝrU8ВΗKφyGμβ7ЙfWВΔjΦΒGμb1ПζWОΔrΝΒ4КL1Пφ8ОВΩgF4КνgΩU8ВΗgΩyGμh7ЙΩWВΔfαΒGμj1ПΧWОΔbεΒ4Кr1ПΞ8ОВLυF4КνΨhU8ВΗeβyGμl7ЙΥWВΔXιΒGμz1ПΖWОΔ5ЛΒ4КЖ1ПB8ОВτMF4КνΦjU8ВΗaζyGμt7ЙΜWВΔHωΒGμθ1ПZWОΔvΙΒ4КD1ПД8