Base 146: 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

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 → 1б → Я3
374 max steps100 → 0вв → бв1 → ав2 → Яв3 → Юв4 → Эв5 → Ьв6 → Ыв7 → Ъв8 → Щв9 → ШвA → ЧвB → ЦвC → ХвD → ФвE → УвF → ТвG → СвH → РвI → ПвJ → ОвK → НвL → МвM → ЛвN → КвO → ЙвP → ИвQ → ЗвR → ЖвS → ЕвT → ДвU → ГвV → ВвW → БвX → АвY → ωвZ → ψвa → χвb → φвc → υвd → τвe → σвf → ςвg → ρвh → πвi → οвj → ξвk → νвl → μвm → λвn → κвo → ιвp → θвq → ηвr → ζвs → εвt → δвu → γвv → βвw → αвx → Ωвy → Ψвz → ΧвΑ → ΦвΒ → ΥвΓ → ΤвΔ → ΣвΕ → ΡвΖ → ΠвΗ → ΟвΘ → ΞвΙ → ΝвΚ → ΜвΛ → ΛвΜ
47 max stepsI00t → tHРζ → ωZψa → ΞΛΛΚ → 3ввЯ → Я2Я4 → ЭЪ76 → ЧТFC
555 max stepsΛ0000 → ΚвввΝ → ΝΙвΝΛ → Ξ1ваΚ → бΚвΜ2 → аΛвΛ3 → ЯΙвΝ4 → ЮΚвΜ5 → ЭΘвΞ6 → ЬΙвΝ7 → ЫΗвΟ8 → ЪΘвΞ9 → ЩΖвΠA → ШΗвΟB → ЧΕвΡC → ЦΖвΠD → ХΔвΣE → ФΕвΡF → УΓвΤG → ТΔвΣH → СΒвΥI → РΓвΤJ → ПΑвΦK → ОΒвΥL → НzвΧM → МΑвΦN → ЛyвΨO → КzвΧP → ЙxвΩQ → ИyвΨR → ЗwвαS → ЖxвΩT → ЕvвβU → ДwвαV → ГuвγW → ВvвβX → БtвδY → АuвγZ → ωsвεa → ψtвδb → χrвζc → φsвεd → υqвηe → τrвζf → σpвθg → ςqвηh → ρoвιi → πpвθj → οnвκk → ξoвιl → νmвλm → μnвκn → λlвμo → νkвνm → ξnвκl → νnвκm