Base 129: 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--
26 cycles6 nodesLφ → Ωh → fβ → jΧ → bζ → rΞ
31 cycle 2 nodesΒСΔ → ΓСΓ
4288 cycles7 nodesΒ0РΕ → Р2О2 → ОЛ54 → КЕB8 → ВσNG → μΤlW → ΔWκΓ
51 cycle (fixed) 1 node αgСΩh
618 cycles32 nodesμd3НδW → КΔnΡΒ8 → ВT1ПξG → ОμΘwV4 → КΕAЖΑ8 → Вφ3НLG → КμΩgV8 → ВΕgΩΑG → μh3НΩW → КΔfαΒ8 → Вj1ПΧG → ОμbεV4 → КΕqΞΑ8 → ВN3НτG → КμΥkV8 → ВΕYθΑG → μx3НΘW → КΔ9ЗΒ8 → Вψ1ПJG → ОμδcV4 → КΕoΠΑ8 → ВR3НπG → КμΜsV8 → ВΕIψΑG → μζ3НbW → КΔrΝΒ8 → ВL1ПφG → ОμΩgV4 → КΕgΩΑ8 → Вh3НΩG → КμfαV8 → ВΕiΧΑG