Base 143: 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--
22 cycles3 nodesFР → АV → ΣΒ
31 cycle 2 nodesΙЯΛ → ΚЯΚ
447 cycles60 nodesH0ЮП → ЮχX2 → ЬΝΖ4 → Ш6Ш8 → ТПFE → ДωVS → βΡΒu → VEРБ → ВΤzU → ΧIМy → τMИc → μΕΞk → p8Цη → ОeπI → φyΥa → ΚKКΛ → π0Юg → ЮwΧ2 → ЬOЖ4 → Шηn8 → РgξG → АuΩW → ΣSВΓ → ΩEРw → ВQДU → δΦxs → ZMИχ → μΛΘk → p2Ьη → Ъeπ6 → ФyΥC → ИKКO → πιlg → xkκΨ → nOЖι → θiμo → rgξε → vaτα → ΘSВΝ → Ω4Ъw → ЦQДA → МγrK → ςYφe → ΜΑΣΙ → H2ЬП → ЪχX6 → ФΝΖC → И6ШO → ТιlE → ДkκS → βmθu → jUАν → ΥqδΑ → bIМυ → τΗΜc → Ζ4ЪΟ → Ц8ЦA → ОЛJI → φρda → ΚΑΣΛ
51 cycle 4 nodesκkЯκm → λkЯκl → λmЯθl → κlЯιm