Base 178: 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

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ア → я3
390 max steps100 → 0ィィ → アィ1 → ァィ2 → яィ3 → юィ4 → эィ5 → ьィ6 → ыィ7 → ъィ8 → щィ9 → шィA → чィB → цィC → хィD → фィE → уィF → тィG → сィH → рィI → пィJ → оィK → нィL → мィM → лィN → кィO → йィP → иィQ → зィR → жィS → еィT → дィU → гィV → вィW → бィX → аィY → ЯィZ → Юィa → Эィb → Ьィc → Ыィd → Ъィe → Щィf → Шィg → Чィh → Цィi → Хィj → Фィk → Уィl → Тィm → Сィn → Рィo → Пィp → Оィq → Нィr → Мィs → Лィt → Кィu → Йィv → Иィw → Зィx → Жィy → Еィz → ДィΑ → ГィΒ → ВィΓ → БィΔ → АィΕ → ωィΖ → ψィΗ → χィΘ → φィΙ → υィΚ → τィΛ → σィΜ → ςィΝ → ρィΞ → πィΟ → οィΠ → ξィΡ → νィΣ → μィΤ → λィΥ → κィΦ → ιィΧ → θィΨ → ηィΩ → ζィα → εィβ → δィγ → γィδ
47 max stepsM00Ζ → ΖLмА → ЧhЦi → ζγγβ → 3ィィя → я2я4 → эъ76 → чтFC
567 max steps10009 → 90ィアъ → ィчィA1 → アчィA2 → ァцィB3 → яфィD4 → юсィG5 → энィK6 → ьиィP7 → ывィV8 → ъЫィc9 → щУィkA → шКィtB → чАィΔC → цοィΟD → хγィγE → фΞィπF → уβィδG → тΝィρH → сαィεI → рΜィςJ → пΩィζK → оΛィσL → нΨィηM → мΚィτN → лΧィθO → кΙィυP → йΦィιQ → иΘィφR → зΥィκS → жΗィχT → еΤィλU → дΖィψV → гΣィμW → вΕィωX → бΡィνY → аΔィАZ → ЯΠィξa → ЮΓィБb → ЭΟィοc → ЬΒィВd → ЫΞィπe → ЪΑィГf → ЩΝィρg → ШzィДh → ЧΜィςi → ЦyィЕj → ХΛィσk → ФxィЖl → УΚィτm → ТwィЗn → СΙィυo → РvィИp → ПΘィφq → ОuィЙr → НΗィχs → МtィКt → ЛΖィψu → КsィЛv → МΓィБt → ЛwィЗu → КΒィВv → ЙvィИw → ЙzィДw → ИwィЗx → ИxィЖx → ЗxィЖy → ЗvィИy