Base 190: 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

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
22 max steps20 → 1ギ → ガ3
396 max steps100 → 0クク → ギク1 → キク2 → ガク3 → カク4 → オク5 → ォク6 → エク7 → ェク8 → ウク9 → ゥクA → イクB → ィクC → アクD → ァクE → яクF → юクG → эクH → ьクI → ыクJ → ъクK → щクL → шクM → чクN → цクO → хクP → фクQ → уクR → тクS → сクT → рクU → пクV → оクW → нクX → мクY → лクZ → кクa → йクb → иクc → зクd → жクe → еクf → дクg → гクh → вクi → бクj → аクk → Яクl → Юクm → Эクn → Ьクo → Ыクp → Ъクq → Щクr → Шクs → Чクt → Цクu → Хクv → Фクw → Уクx → Тクy → Сクz → РクΑ → ПクΒ → ОクΓ → НクΔ → МクΕ → ЛクΖ → КクΗ → ЙクΘ → ИクΙ → ЗクΚ → ЖクΛ → ЕクΜ → ДクΝ → ГクΞ → ВクΟ → БクΠ → АクΡ → ωクΣ → ψクΤ → χクΥ → φクΦ → υクΧ → τクΨ → σクΩ → ςクα → ρクβ → πクγ → οクδ → ξクε → νクζ → μクη → λクθ → κクι → ιクκ
47 max stepsO00Κ → ΚNцИ → ЯlЮm → κηλκ → 3ククガ → ガ2ガ4 → オェ76 → イюFC
571 max steps1000F → F0クギァ → クэクG1 → ギэクG2 → キьクH3 → ガъクJ4 → カчクM5 → オуクQ6 → ォоクV7 → エиクb8 → ェбクi9 → ウЩクqA → ゥРクzB → イЖクΚC → ィυクΦD → アιクιE → ァΥクφF → яθクκG → юΤクχH → эηクλI → ьΣクψJ → ыζクμK → ъΡクωL → щεクνM → шΠクАN → чδクξO → цΟクБP → хγクοQ → фΞクВR → уβクπS → тΝクГT → сαクρU → рΜクДV → пΩクςW → оΛクЕX → нΨクσY → мΚクЖZ → лΧクτa → кΙクЗb → йΦクυc → иΘクИd → зΥクφe → жΗクЙf → еΤクχg → дΖクКh → гΣクψi → вΕクЛj → бΡクωk → аΔクМl → ЯΠクАm → ЮΓクНn → ЭΟクБo → ЬΒクОp → ЫΞクВq → ЪΑクПr → ЩΝクГs → ШzクРt → ЧΜクДu → ЦyクСv → ХΛクЕw → ФxクТx → УΚクЖy → ТwクУz → ФΗクЙx → УΑクПy → ТΖクКz → СzクРΑ → СΔクМΑ → РΑクПΒ → РΒクОΒ → ПΒクОΓ → ПzクРΓ