Base 71: Cycles Sequences: Maximum Length Cycle Count

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ

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 nodes7Β → tF → dV
31 cycle 2 nodesYΙa → ZΙZ
417 cycles35 nodesB0Θy → ΘmL2 → ΖQh4 → ΒGr8 → taXG → d2ΖW → Δ6Β6 → xuDC → lgRO → NEtm → fOjU → LAxo → nSfM → RCvi → jGrQ → bIpY → X2Ζc → Δ4Δ6 → zwBA → pkNK → VMle → P8zk → rKnI → ZSfa → D0Θw → ΘiP2 → ΖIp4 → ΒWb8 → t4ΔG → zcVA → p6ΒK → vUdE → h8zS → rEtI → fYZU
51 cycle 4 nodeslMΙlO → mMΙlN → mOΙjN → lNΙkO
66 cycles50 nodesB82ΖΑy → ΔsmLG6 → xcQhWC → lH5ΓrO → xaMlYC → lP1ΗjO → ΖNJol4 → ΒVNkd8 → tN7ΑlG → tdNkVG → dN7ΑlW → tO6ΒkG → vdLmVE → hR7ΑhS → tGEtsG → fdbWVU → B84ΔΑy → zsmLGA → pcQhWK → VH5Γre → xa8zYC → rl1ΗNI → ΖZNkZ4 → ΒMΙΙl8 → ΑmFsM9 → rdPiVI → ZJ7Αpa → tW0ΘcG → Θd5ΓV2 → Ζx7ΑB4 → ΒtlMF8 → teOjUG → dL9ynW → pS6ΒgK → vVDudE → ig7ΑSR → tHDurG → hdZYVS → F80ΘΑu → ΘseTG2 → ΖcAxW4 → Βn5ΓL8 → xtRgFC → leEtUO → fN9ylU → pOAxkK → nVLmdM → SQ7Αih → tIEtqG → fdXaVU
71 cycle 8 nodesrZEΙtZI → ubHΙqXF → tdIΙpVG → sbJΙoXH → rZGΙrZI → sZHΙqZH → rbGΙrXI → sZJΙoZH