Base 129: 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

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
23 max steps10 → 0С → Р1 → О3
365 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 → ΓСΓ
44 max stepsΔ000 → ΓССΓ → ΓΒΓΔ → 1ССР → Р0Р2
552 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 → αgСΩh
660 max steps4000СС → СС3Н01 → СРЙ711 → РПБF22 → ОНλV44 → КЙΓΒ88 → ВБ0РGG → РμκWV2 → ОΕΑΔΑ4 → К42ОН8 → МЙБF86 → ЖБλVGC → τλΓΒWO → ΥΓ0РΓm → РWССκ2 → ПλVλW3 → МΔΒΓΒ6 → Ж20РПC → РНσN42 → ОЙΤl84 → КБWκG8 → ВλΑΔWG → μΓ2ОΓW → МΓССΒ6 → ЛΔwΘΒ7 → ДB1ПЖE → ОυοRM4 → КΨΛti8 → ВeGАγG → μκlΤXW → ΔΑWκΕΓ → Β40РНΕ → РЙ2О82 → ОМАG54 → КЗιXA8 → ВχyΖKG → μγ6КeW → ДΔlΤΒE → πX1ПκS → ОΜzΕt4 → КI4Мω8 → ИВζaFA → ψνsΜUK → δΗIψye → ζn7ЙΣc → ВrTνΞG → μΘLυxW → ΩΔ9ЗΒi → ψf1ПβK → ОδjΦd4 → КoaζΡ8 → ВtRοΜG → μΜHωtW → θΔHωΒa → θv1ПΚa → ОvDГΚ4 → КπDГR8 → ВπΜsRG → μΝIψsW → ζΔJχΒc → δr1ПΞe