Base 174: 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

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 → 1э → ы3
388 max steps100 → 0юю → эю1 → ью2 → ыю3 → ъю4 → щю5 → шю6 → чю7 → цю8 → хю9 → фюA → уюB → тюC → сюD → рюE → пюF → оюG → нюH → мюI → люJ → кюK → йюL → июM → зюN → жюO → еюP → дюQ → гюR → вюS → бюT → аюU → ЯюV → ЮюW → ЭюX → ЬюY → ЫюZ → Ъюa → Щюb → Шюc → Чюd → Цюe → Хюf → Фюg → Уюh → Тюi → Сюj → Рюk → Пюl → Оюm → Нюn → Мюo → Люp → Кюq → Йюr → Июs → Зюt → Жюu → Еюv → Дюw → Гюx → Вюy → Бюz → АюΑ → ωюΒ → ψюΓ → χюΔ → φюΕ → υюΖ → τюΗ → σюΘ → ςюΙ → ρюΚ → πюΛ → οюΜ → ξюΝ → νюΞ → μюΟ → λюΠ → κюΡ → ιюΣ → θюΤ → ηюΥ → ζюΦ → εюΧ → δюΨ → γюΩ → βюα → αюβ
47 max stepsM00Δ → ΔLиψ → УhТi → βΨγβ → 3ююы → ы2ы4 → щц76 → уоFC
568 max steps10007 → 70юэш → юхю81 → эхю82 → ьфю93 → ытюB4 → ъпюE5 → щлюI6 → шжюN7 → чаюT8 → цЩюa9 → хСюiA → фИюrB → уψюΒC → тνюΝD → сαюαE → рΜюξF → пΩюβG → оΛюοH → нΨюγI → мΚюπJ → лΧюδK → кΙюρL → йΦюεM → иΘюςN → зΥюζO → жΗюσP → еΤюηQ → дΖюτR → гΣюθS → вΕюυT → бΡюιU → аΔюφV → ЯΠюκW → ЮΓюχX → ЭΟюλY → ЬΒюψZ → ЫΞюμa → ЪΑюωb → ЩΝюνc → ШzюАd → ЧΜюξe → ЦyюБf → ХΛюοg → ФxюВh → УΚюπi → ТwюГj → СΙюρk → РvюДl → ПΘюςm → ОuюЕn → НΗюσo → МtюЖp → ЛΖюτq → КsюЗr → ЙΕюυs → ИrюИt → ЙΒюψs → ИuюЕt → ЗΑюωu → ЖtюЖv → ЗxюВu → ЖwюГv → ЕwюГw → ДvюДx → ЕtюЖw → ЗwюГu → ЖxюВv → ЕvюДw