Base 131: Cycles Sequences: Maximum Length Cycle Count

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 # Full Cycles
(excluding zero)
Max Cycle
Length
Longest Full Cycles
(excluding zero)
(bold = exactly one cycle [excluding zero])
10 cycles--
24 cycles5 nodesJА → ζd → pΣ → Rς → Ξt
31 cycle 2 nodesΓУΕ → ΔУΔ
432 cycles65 nodesJ8КБ → ВηbI → κsΞa → xKψΛ → δCЖg → τkΧQ → Σaθq → vQςΝ → ΠGВs → μMφY → ΩΑΖk → d4Оη → КqΠA → АOτK → ζΤne → pUξΤ → ΘSπΑ → Μ6Мw → ЖEДE → ςοTS → ΞΙxu → JAИБ → ψηbM → βsΞi → hKψγ → δiΩg → leδΨ → naθΦ → vWμΝ → ΔGВΕ → μ0ТY → ТΑΖ2 → Р4О4 → МЙ98 → ДωJG → ξεdW → ΖoΣΓ → T2Рρ → ОΛv6 → ИEДC → φοTO → ΧΙxm → ZAИλ → ψyΘM → β8Кi → ВgβI → κiΩa → xeδΛ → nCЖΦ → τWμQ → ΣΓΔq → R0Тσ → ТΟr2 → РMφ4 → МΨj8 → ДcζG → ξqΠW → ΖOτΓ → Υ2Рo → ОUξ6 → ИΗzC → φ6МO → ЖΦlE → ςYκS → ΞyΘu
51 cycle 4 nodesβgУβi → γgУβh → γiУΩh → βhУαi
611 cycles105 nodespk0ТΨΤ → ТcSπη2 → РΜrΟv4 → МNFГφ8 → ДξΧkVG → ξΗaθΑW → Ζv5НΜΓ → ИG2РГC → ОφμWN6 → ИΨΓΔkC → φc0ТηO → ТΧrΟl2 → РaMφι4 → МΩvΛj8 → ДeEДεG → πξnΤVU → ΚΗUξΑy → ΘB5НИΑ → Иχ6МMC → ЖφΩiNE → ςΨeδkS → ΞnbηΥu → tWIАνΟ → θΕKψΓc → δt1СΞg → РlJωΧ4 → МζZιd8 → ДxpΡΚG → ξRBЗςW → φΟΕΒsO → ΧM2Рχm → ОαYκi6 → ИzfγΘC → φl7ЛΧO → ДΧZιlG → ξxZιΚW → ΖxBЗΚΓ → φC2РЗO → ОυΦlO6 → ИΦYκmC → φzXλΘO → ΧΒ7ЛΖm → ДZ3ПκG → МξxΙV8 → ДΗAИΑG → ψξ5НVM → ИβΖΑhC → φi4ОαO → КΧfγlA → АlZιΧK → ζxZιΚe → xpBЗΣΛ → φSCЖρO → τΧΜulQ → ΣaGВιq → μwQςΛY → ΠΒDЕΖs → ςN3ПφS → МΨΝtk8 → ДcIАηG → ξθrΟbW → ΖuMφΝΓ → ΩI2РБk → Оιcζa6 → ИwqΠΛC → φPDЕτO → ςΧΣolS → ΞaSπιu → ΜwIАΛw → θFDЕДc → ςοsΞUS → ΞΙKψyu → δJ9ЙАg → АηkΧcK → ζsaθΟe → vpLχΣΝ → βSGВρi → μΝgβuY → ΒjHБΩΗ → κe4Оεa → КxnΤΚA → АVBЗξK → φζΖΑdO → Χq4ОΡm → КZPσκA → АΣxΙpK → ζSAИρe → ψΝoΣuM → βTHБπi → κΛgβwa → xjDЕΩΛ → ςeCЖεS → τΞnΤtQ → ΣVJωξq → ζΗQςΑe → Πp5НΣs → ИSMφρC → φΩΜujO → ΧeGВεm → μoYκΤY → ΒzTοΘΗ → Κ84ОЛy → КГAИGA → АψμWLK → ζγΓΔge