Base 193: 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
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

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 steps1 → 0 → 0
227 max steps10 → 0ゲ → ケ1 → ク3 → カ7 → ィF → тV → ТΒ → ΔР → zФ → ΘМ → rЬ → Ωφ → Lь → жh → τβ → Hァ → оZ → КΚ → nа → θξ → 5キ → ェB → ъN → вl → μκ → 1ケ → ク3
399 max steps100 → 0ゲゲ → ケゲ1 → グゲ2 → クゲ3 → ギゲ4 → キゲ5 → ガゲ6 → カゲ7 → オゲ8 → ォゲ9 → エゲA → ェゲB → ウゲC → ゥゲD → イゲE → ィゲF → アゲG → ァゲH → яゲI → юゲJ → эゲK → ьゲL → ыゲM → ъゲN → щゲO → шゲP → чゲQ → цゲR → хゲS → фゲT → уゲU → тゲV → сゲW → рゲX → пゲY → оゲZ → нゲa → мゲb → лゲc → кゲd → йゲe → иゲf → зゲg → жゲh → еゲi → дゲj → гゲk → вゲl → бゲm → аゲn → Яゲo → Юゲp → Эゲq → Ьゲr → Ыゲs → Ъゲt → Щゲu → Шゲv → Чゲw → Цゲx → Хゲy → Фゲz → УゲΑ → ТゲΒ → СゲΓ → РゲΔ → ПゲΕ → ОゲΖ → НゲΗ → МゲΘ → ЛゲΙ → КゲΚ → ЙゲΛ → ИゲΜ → ЗゲΝ → ЖゲΞ → ЕゲΟ → ДゲΠ → ГゲΡ → ВゲΣ → БゲΤ → АゲΥ → ωゲΦ → ψゲΧ → χゲΨ → φゲΩ → υゲα → τゲβ → σゲγ → ςゲδ → ρゲε → πゲζ → οゲη → ξゲθ → νゲι → μゲκ → λゲλ → κゲμ → λゲλ
452 max stepsμ000 → λゲゲλ → λκλμ → 1ゲゲケ → ケ0ケ2 → ケギ32 → クオ74 → カアF8 → ィсVG → тСΒW → ТΓРΓ → ΔΑТС → ΖΑТП → ΖwЦП → ΞwЦЗ → ΞgжЗ → φgжα → φKьα → иKьg → иχΧg → ψOшΨ → аOшo → аηξo → θ6カο → ゥ6カE → ゥхRE → цЩtS → ЪΤАu → ΥUтБ → ФUтΑ → ФΗМΑ → ΘsЪН → ΧsЪω → ΧQцω → ЬQцs → ЬΨφs → ΩMъχ → дMъk → дοζk → π8ォη → ァ8ォI → ァнZI → оЙΚa → КmаΛ → κmаν → κ2クν → キ2ク6 → キウB6 → ェщNC → ъбlO → вλκm → μ0ケλ → ケ0ケ2
575 max steps30000 → 2ゲゲゲグ → グ1ゲグ3 → ケガゲ52 → グカゲ63 → クォゲ84 → ギウゲB5 → キアゲF6 → ガьゲK7 → カцゲQ8 → オпゲX9 → ォзゲfA → エЮゲoB → ェФゲyC → ウЙゲΚD → ゥχゲΧE → イκゲλF → ィΦゲψG → アιゲμH → ァΥゲωI → яθゲνJ → юΤゲАK → эηゲξL → ьΣゲБM → ыζゲοN → ъΡゲВO → щεゲπP → шΠゲГQ → чδゲρR → цΟゲДS → хγゲςT → фΞゲЕU → уβゲσV → тΝゲЖW → сαゲτX → рΜゲЗY → пΩゲυZ → оΛゲИa → нΨゲφb → мΚゲЙc → лΧゲχd → кΙゲКe → йΦゲψf → иΘゲЛg → зΥゲωh → жΗゲМi → еΤゲАj → дΖゲНk → гΣゲБl → вΕゲОm → бΡゲВn → аΔゲПo → ЯΠゲГp → ЮΓゲРq → ЭΟゲДr → ЬΒゲСs → ЫΞゲЕt → ЪΑゲТu → ЩΝゲЖv → ШzゲУw → ЧΜゲЗx → ЦyゲФy → ХΛゲИz → ФxゲХΑ → ЦΘゲЛy → ХΒゲСz → ФΗゲМΑ → УΑゲТΒ → УΕゲОΒ → ТΒゲСΓ → ТΓゲРΓ → СΓゲРΔ → СΑゲТΔ → УΒゲСΒ → ТΕゲОΓ → СΑゲТΔ