Base 95: Cycles Sequences: Maximum Length Cycle Count

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ

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--
21 cycle (fixed) 1 node 
31 cycle 2 nodeskιm → lιl
435 cycles36 nodesF6βΤ → ΥΓTE → ΖYxS → dOΘu → jGΠo → z4δY → ΩQΖA → ΞerK → tCΥe → ΘEΣQ → ΔgpU → Z8Ωy → ΠOΘI → xina → N4δΛ → ΩmjA → Ξ2ζK → δsd6 → ΧEΣC → ΚΓTO → lYxm → P0θΙ → θin2 → ζ4δ4 → βΨ98 → ΣΝJG → ΒsdW → VEΣΓ → ΔWzU → ZSΔy → bOΘw → jKΜo → r4δg → ΩAΧA → ΞΛLK → tohe
51 cycle 4 nodesΒUιΒW → ΓUιΒV → ΓWιzV → ΒVιΑW
62 cycles40 nodesJE0θΤΟ → θΕubS2 → ζcIΞu4 → βvHΟb8 → ΣxJΝZG → ΒtNΙdW → lVFΡΒm → ΒW0θΑW → θVTΓΒ2 → ζZVΑx4 → βVNΙΒ8 → ΣlVΑlG → ΒUιιΒW → ΓzιιWV → ΒΑ2ζWW → δVTΓΒ6 → ΧZVΑxC → ΚVNΙΒO → mkVΑml → V20θηΓ → θεWz42 → ζαSΔ84 → βΡavG8 → ΣΑKΜWG → ΒrTΓfW → ZVBΦΒy → ΚWOΘΑO → ljTΓnm → Z40θεy → θαOΘ82 → ζΡinG4 → βΑ4δW8 → ΩΣTΓFA → ΞΓYxUK → tYOΘye → jQEΣΗo → Δg4δqU → ΩZ9ΨxA → ΟΝNΙKJ → vsklec
71 cycle 8 nodesΚlKιΜlO → ΝnNιΙjL → ΜpOιΘhM → ΛnPιΗjN → ΚlMιΚlO → ΛlNιΙlN → ΚnMιΚjO → ΛlPιΗlN