Base 189: 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
23 max steps10 → 0ギ → キ1 → カ3
395 max steps100 → 0ギギ → キギ1 → ガギ2 → カギ3 → オギ4 → ォギ5 → エギ6 → ェギ7 → ウギ8 → ゥギ9 → イギA → ィギB → アギC → ァギD → яギE → юギF → эギG → ьギH → ыギI → ъギJ → щギK → шギL → чギM → цギN → хギO → фギP → уギQ → тギR → сギS → рギT → пギU → оギV → нギW → мギX → лギY → кギZ → йギa → иギb → зギc → жギd → еギe → дギf → гギg → вギh → бギi → аギj → Яギk → Юギl → Эギm → Ьギn → Ыギo → Ъギp → Щギq → Шギr → Чギs → Цギt → Хギu → Фギv → Уギw → Тギx → Сギy → Рギz → ПギΑ → ОギΒ → НギΓ → МギΔ → ЛギΕ → КギΖ → ЙギΗ → ИギΘ → ЗギΙ → ЖギΚ → ЕギΛ → ДギΜ → ГギΝ → ВギΞ → БギΟ → АギΠ → ωギΡ → ψギΣ → χギΤ → φギΥ → υギΦ → τギΧ → σギΨ → ςギΩ → ρギα → πギβ → οギγ → ξギδ → νギε → μギζ → λギη → κギθ → ιギι
44 max stepsκ000 → ιギギι → ιθικ → 1ギギキ → キ0キ2
575 max steps10000 → 0ギギギギ → キギギギ1 → キ0ギキ2 → ギオギ31 → キオギ32 → ガォギ43 → カェギ64 → オイギ95 → ォяギD6 → エъギI7 → ェфギO8 → ウнギV9 → ゥеギdA → イЬギmB → ィТギwC → アЗギΘD → ァυギΥE → яθギιF → юΤギφG → эηギκH → ьΣギχI → ыζギλJ → ъΡギψK → щεギμL → шΠギωM → чδギνN → цΟギАO → хγギξP → фΞギБQ → уβギοR → тΝギВS → сαギπT → рΜギГU → пΩギρV → оΛギДW → нΨギςX → мΚギЕY → лΧギσZ → кΙギЖa → йΦギτb → иΘギЗc → зΥギυd → жΗギИe → еΤギφf → дΖギЙg → гΣギχh → вΕギКi → бΡギψj → аΔギЛk → ЯΠギωl → ЮΓギМm → ЭΟギАn → ЬΒギНo → ЫΞギБp → ЪΑギОq → ЩΝギВr → ШzギПs → ЧΜギГt → ЦyギРu → ХΛギДv → ФxギСw → УΚギЕx → ТwギТy → УΗギИx → ТzギПy → СΖギЙz → РyギРΑ → СΓギМz → РΒギНΑ → ПΒギНΒ → ОΑギОΓ → ПyギРΒ → СΒギНz → РΓギМΑ → ПΑギОΒ