Base 160: 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

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
235 max steps20 → 1п → н3й7бFСVλΒιΔρvΙδЛbΨΞЯHНZγΚПXηΖωnΦΠз9ЭJЙdΤΣп1н3
382 max steps100 → 0рр → пр1 → ор2 → нр3 → мр4 → лр5 → кр6 → йр7 → ир8 → зр9 → жрA → ерB → дрC → грD → врE → брF → арG → ЯрH → ЮрI → ЭрJ → ЬрK → ЫрL → ЪрM → ЩрN → ШрO → ЧрP → ЦрQ → ХрR → ФрS → УрT → ТрU → СрV → РрW → ПрX → ОрY → НрZ → Мрa → Лрb → Крc → Йрd → Ирe → Зрf → Жрg → Ерh → Дрi → Грj → Врk → Брl → Арm → ωрn → ψрo → χрp → φрq → υрr → τрs → σрt → ςрu → ρрv → πрw → οрx → ξрy → νрz → μрΑ → λрΒ → κрΓ → ιрΔ → θрΕ → ηрΖ → ζрΗ → εрΘ → δрΙ → γрΚ → βрΛ → αрΜ → ΩрΝ → ΨрΞ → ΧрΟ → ΦрΠ → ΥрΡ → ΤрΣ → ΣрΤΣрΤ
421 max steps500e → e4лЙ → зΣΣA → ЬррK → ЬJЬL → ЙЖfe → ΤΞΧΤ → 7ррй → й6й8 → гаFE → ХРVS → σκΒu → mVРБ → λΒκΓ → XUСР → νθΔΑ → aRФН → σβΚu → mFаБ → СΒκW → λVРΓλVРΓ
564 max steps10000 → 0рррр → пррр1 → п0рп2 → рмр31 → пмр32 → олр43 → нйр64 → мжр95 → лврD6 → кЭрI7 → йЧрO8 → иРрV9 → зИрdA → жωрmB → еοрwC → дδрΘD → гΠрΥE → вΗрεF → бΟрΦG → аΖрζH → ЯΞрΧI → ЮΕрηJ → ЭΝрΨK → ЬΔрθL → ЫΜрΩM → ЪΓрιN → ЩΛрαO → ШΒрκP → ЧΚрβQ → ЦΑрλR → ХΙрγS → ФzрμT → УΘрδU → ТyрνV → СΗрεW → РxрξX → ПΖрζY → ОwрοZ → НΕрηa → Мvрπb → ЛΔрθc → Кuрρd → ЙΓрιe → Иtрςf → ЗΒрκg → Жsрσh → ЕΑрλi → Дrрτj → Гzрμk → Вqрυl → Бyрνm → Аpрφn → ωxрξo → ψoрχp → ψvрπp → χpрφq → χtрςq → φqрυr → φrрτr → υrрτs → υpрφsχqрυqφtрςrυpрφs