Base 158: 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
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
Cycle Start
11 max steps1 → 0
22 max steps20 → 1н → л3
380 max steps100 → 0оо → но1 → мо2 → ло3 → ко4 → йо5 → ио6 → зо7 → жо8 → ео9 → доA → гоB → воC → боD → аоE → ЯоF → ЮоG → ЭоH → ЬоI → ЫоJ → ЪоK → ЩоL → ШоM → ЧоN → ЦоO → ХоP → ФоQ → УоR → ТоS → СоT → РоU → ПоV → ОоW → НоX → МоY → ЛоZ → Коa → Йоb → Иоc → Зоd → Жоe → Еоf → Доg → Гоh → Воi → Боj → Аоk → ωоl → ψоm → χоn → φоo → υоp → τоq → σоr → ςоs → ρоt → πоu → οоv → ξоw → νоx → μоy → λоz → κоΑ → ιоΒ → θоΓ → ηоΔ → ζоΕ → εоΖ → δоΗ → γоΘ → βоΙ → αоΚ → ΩоΛ → ΨоΜ → ΧоΝ → ΦоΞ → ΥоΟ → ΤоΠ → ΣоΡ → ΡоΣ
47 max stepsK00x → xJЪξ → ЗdЖe → ΣΟΤΣ → 3оол → л2л4 → йж76 → гЮFC
559 max stepsΡ0000 → ΠоооΤ → ΤΟоΤΡ → Υ1омΠ → нΠоΣ2 → мΡоΡ3 → лΟоΤ4 → кΠоΣ5 → йΞоΥ6 → иΟоΤ7 → зΝоΦ8 → жΞоΥ9 → еΜоΧA → дΝоΦB → гΛоΨC → вΜоΧD → бΚоΩE → аΛоΨF → ЯΙоαG → ЮΚоΩH → ЭΘоβI → ЬΙоαJ → ЫΗоγK → ЪΘоβL → ЩΖоδM → ШΗоγN → ЧΕоεO → ЦΖоδP → ХΔоζQ → ФΕоεR → УΓоηS → ТΔоζT → СΒоθU → РΓоηV → ПΑоιW → ОΒоθX → НzоκY → МΑоιZ → Лyоλa → Кzоκb → Йxоμc → Иyоλd → Зwоνe → Жxоμf → Еvоξg → Дwоνh → Гuоοi → Вvоξj → Бtоπk → Аuоοl → ωsоρm → ψtоπn → χrоςo → φsоρp → υqоσq → τrоςr → σpоτs → υoоυq → φrоςp → υrоςq