Base 212: 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
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
ヂッツヅテデトドナニヌネノハバパ

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 → 1ツ → ヂ3
3107 max steps100 → 0ヅヅ → ツヅ1 → ッヅ2 → ヂヅ3 → チヅ4 → ダヅ5 → タヅ6 → ゾヅ7 → ソヅ8 → ゼヅ9 → セヅA → ズヅB → スヅC → ジヅD → シヅE → ザヅF → サヅG → ゴヅH → コヅI → ゲヅJ → ケヅK → グヅL → クヅM → ギヅN → キヅO → ガヅP → カヅQ → オヅR → ォヅS → エヅT → ェヅU → ウヅV → ゥヅW → イヅX → ィヅY → アヅZ → ァヅa → яヅb → юヅc → эヅd → ьヅe → ыヅf → ъヅg → щヅh → шヅi → чヅj → цヅk → хヅl → фヅm → уヅn → тヅo → сヅp → рヅq → пヅr → оヅs → нヅt → мヅu → лヅv → кヅw → йヅx → иヅy → зヅz → жヅΑ → еヅΒ → дヅΓ → гヅΔ → вヅΕ → бヅΖ → аヅΗ → ЯヅΘ → ЮヅΙ → ЭヅΚ → ЬヅΛ → ЫヅΜ → ЪヅΝ → ЩヅΞ → ШヅΟ → ЧヅΠ → ЦヅΡ → ХヅΣ → ФヅΤ → УヅΥ → ТヅΦ → СヅΧ → РヅΨ → ПヅΩ → Оヅα → Нヅβ → Мヅγ → Лヅδ → Кヅε → Йヅζ → Иヅη → Зヅθ → Жヅι → Еヅκ → Дヅλ → Гヅμ → Вヅν → Бヅξ → Аヅο → ωヅπ → ψヅρ → χヅς → φヅσ → υヅτ → τヅυ
410 max stepsD00r → rCジр → ガττQ → рヅヅq → рpрr → χττσ → 3ヅヅヂ → ヂ2ヂ4 → ダソ76 → ズサFC → ギゥVO
577 max stepsτ0000 → σヅヅヅφ → φςヅφτ → χ1ヅッσ → ツσヅυ2 → ッτヅτ3 → ヂςヅφ4 → チσヅυ5 → ダρヅχ6 → タςヅφ7 → ゾπヅψ8 → ソρヅχ9 → ゼοヅωA → セπヅψB → ズξヅАC → スοヅωD → ジνヅБE → シξヅАF → ザμヅВG → サνヅБH → ゴλヅГI → コμヅВJ → ゲκヅДK → ケλヅГL → グιヅЕM → クκヅДN → ギθヅЖO → キιヅЕP → ガηヅЗQ → カθヅЖR → オζヅИS → ォηヅЗT → エεヅЙU → ェζヅИV → ウδヅКW → ゥεヅЙX → イγヅЛY → ィδヅКZ → アβヅМa → ァγヅЛb → яαヅНc → юβヅМd → эΩヅОe → ьαヅНf → ыΨヅПg → ъΩヅОh → щΧヅРi → шΨヅПj → чΦヅСk → цΧヅРl → хΥヅТm → фΦヅСn → уΤヅУo → тΥヅТp → сΣヅФq → рΤヅУr → пΡヅХs → оΣヅФt → нΠヅЦu → мΡヅХv → лΟヅЧw → кΠヅЦx → йΞヅШy → иΟヅЧz → зΝヅЩΑ → жΞヅШΒ → еΜヅЪΓ → дΝヅЩΔ → гΛヅЫΕ → вΜヅЪΖ → бΚヅЬΗ → аΛヅЫΘ → ЯΙヅЭΙ → ЮΚヅЬΚ → ЭΘヅЮΛ → ЯΗヅЯΙ → аΚヅЬΘ → ЯΚヅЬΙ