Base 79: 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--
21 cycle 2 nodesFΒ → lV
31 cycle 2 nodescΡe → dΡd
419 cycles39 nodes90ΠΙ → ΠyH2 → ΞgZ4 → Κ6Κ8 → ΔΑFE → pkVS → NEΒu → nWjU → JCΔy → rebQ → R2Ξq → ΜOr6 → ΖSnC → tKvO → bUlg → H4ΜΑ → ΘiXA → xAΖK → vcdM → Z0Πi → Π8Θ2 → ΞyH4 → ΚgZ8 → Β6ΚG → ΔkVE → pEΒS → nMtU → XIxk → fCΔc → r2ΞQ → ΜQp6 → ΖOrC → tSnO → VKvm → bGzg → j4ΜY → ΘAΖA → xuLK → dYhe
52 cycles4 nodesqPΡqR → rOΡrQ → sQΡpP → rRΡoQ
65 cycles43 nodesRIΡΡxq → yp6ΚRJ → ΔfNsbE → pV3ΝlS → ΚNFΑt8 → ΒlVkVG → lGEΒΑW → nkEΒWU → nJDΓxU → peIxcS → fN1Οtc → ΞW2Ξk4 → ΜΚDΓ76 → ΖΓoREC → toMtSO → XVLulk → ZGCΔΑi → rk8ΘWQ → zRDΓpI → phNsZS → VN7Ιtm → ΒWGzkG → ljDΓXW → pFBΕΒS → tmMtUO → XVHylk → hGCΔΑa → rk6ΚWQ → ΔRDΓpE → qoNsSR → VPLurm → ZSGzoi → jM8ΘuY → zYAΖiI → vh9ΗZM → xZ7ΙhK → Βd7ΙdG → ΒkΡΡVG → ΑlGzVH → kiFΑYX → lD9ΗΔW → xqEΒQK → ndPqdU
71 cycle 8 nodesxdGΡzdK → ΑfJΡwbH → zhKΡvZI → yfLΡubJ → xdIΡxdK → ydJΡwdJ → xfIΡxbK → ydLΡudJ