Base 143: 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

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
26 max steps10 → 0Я → Ю1 → Ь3 → Ш7 → РF → АV
372 max steps100 → 0ЯЯ → ЮЯ1 → ЭЯ2 → ЬЯ3 → ЫЯ4 → ЪЯ5 → ЩЯ6 → ШЯ7 → ЧЯ8 → ЦЯ9 → ХЯA → ФЯB → УЯC → ТЯD → СЯE → РЯF → ПЯG → ОЯH → НЯI → МЯJ → ЛЯK → КЯL → ЙЯM → ИЯN → ЗЯO → ЖЯP → ЕЯQ → ДЯR → ГЯS → ВЯT → БЯU → АЯV → ωЯW → ψЯX → χЯY → φЯZ → υЯa → τЯb → σЯc → ςЯd → ρЯe → πЯf → οЯg → ξЯh → νЯi → μЯj → λЯk → κЯl → ιЯm → θЯn → ηЯo → ζЯp → εЯq → δЯr → γЯs → βЯt → αЯu → ΩЯv → ΨЯw → ΧЯx → ΦЯy → ΥЯz → ΤЯΑ → ΣЯΒ → ΡЯΓ → ΠЯΔ → ΟЯΕ → ΞЯΖ → ΝЯΗ → ΜЯΘ → ΛЯΙ → ΚЯΚ
44 max stepsΛ000 → ΚЯЯΚ → ΚΙΚΛ → 1ЯЯЮ → Ю0Ю2
553 max steps10000 → 0ЯЯЯЯ → ЮЯЯЯ1 → Ю0ЯЮ2 → ЯЫЯ31 → ЮЫЯ32 → ЭЪЯ43 → ЬШЯ64 → ЫХЯ95 → ЪСЯD6 → ЩМЯI7 → ШЖЯO8 → ЧωЯV9 → ЦρЯdA → ХθЯmB → ФΧЯwC → УΛЯΘD → ТyЯΥE → СΗЯΜF → РxЯΦG → ПΖЯΝH → ОwЯΧI → НΕЯΞJ → МvЯΨK → ЛΔЯΟL → КuЯΩM → ЙΓЯΠN → ИtЯαO → ЗΒЯΡP → ЖsЯβQ → ЕΑЯΣR → ДrЯγS → ГzЯΤT → ВqЯδU → БyЯΥV → АpЯεW → ωxЯΦX → ψoЯζY → χwЯΧZ → φnЯηa → υvЯΨb → τmЯθc → σuЯΩd → ςlЯιe → ρtЯαf → πkЯκg → οsЯβh → ξjЯλi → νrЯγj → μiЯμk → νoЯζj → μlЯιk → λnЯηl → κkЯκm