Base 182: 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ウ → イ3
392 max steps100 → 0ェェ → ウェ1 → ゥェ2 → イェ3 → ィェ4 → アェ5 → ァェ6 → яェ7 → юェ8 → эェ9 → ьェA → ыェB → ъェC → щェD → шェE → чェF → цェG → хェH → фェI → уェJ → тェK → сェL → рェM → пェN → оェO → нェP → мェQ → лェR → кェS → йェT → иェU → зェV → жェW → еェX → дェY → гェZ → вェa → бェb → аェc → Яェd → Юェe → Эェf → Ьェg → Ыェh → Ъェi → Щェj → Шェk → Чェl → Цェm → Хェn → Фェo → Уェp → Тェq → Сェr → Рェs → Пェt → Оェu → Нェv → Мェw → Лェx → Кェy → Йェz → ИェΑ → ЗェΒ → ЖェΓ → ЕェΔ → ДェΕ → ГェΖ → ВェΗ → БェΘ → АェΙ → ωェΚ → ψェΛ → χェΜ → φェΝ → υェΞ → τェΟ → σェΠ → ςェΡ → ρェΣ → πェΤ → οェΥ → ξェΦ → νェΧ → μェΨ → λェΩ → κェα → ιェβ → θェγ → ηェδ → ζェε → εェζ
47 max stepsN00Η → ΗMпГ → ЩjШk → ζγηζ → 3ェェイ → イ2イ4 → アю76 → ыцFC
567 max stepsε0000 → δェェェη → ηγェηε → θ1ェゥδ → ウδェζ2 → ゥεェε3 → イγェη4 → ィδェζ5 → アβェθ6 → ァγェη7 → яαェι8 → юβェθ9 → эΩェκA → ьαェιB → ыΨェλC → ъΩェκD → щΧェμE → шΨェλF → чΦェνG → цΧェμH → хΥェξI → фΦェνJ → уΤェοK → тΥェξL → сΣェπM → рΤェοN → пΡェρO → оΣェπP → нΠェςQ → мΡェρR → лΟェσS → кΠェςT → йΞェτU → иΟェσV → зΝェυW → жΞェτX → еΜェφY → дΝェυZ → гΛェχa → вΜェφb → бΚェψc → аΛェχd → ЯΙェωe → ЮΚェψf → ЭΘェАg → ЬΙェωh → ЫΗェБi → ЪΘェАj → ЩΖェВk → ШΗェБl → ЧΕェГm → ЦΖェВn → ХΔェДo → ФΕェГp → УΓェЕq → ТΔェДr → СΒェЖs → РΓェЕt → ПΑェЗu → ОΒェЖv → НzェИw → МΑェЗx → ЛyェЙy → КzェИz → ЙxェКΑ → ЛwェЛy → МzェИx → ЛzェИy