Base 166: 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
бвгдежзийклмнопр
стуфхцчшщъыьэюяァ

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 83 nodes⮎ 0ц → х1 → у3 → п7 → зF → ЧV → ρΒ → cР → γΠ → Aм → бL → Лh → Ρβ → 8о → еH → УZ → ιΚ → Mа → Йj → Νζ → Gж → ХX → νΖ → UШ → σz → gМ → ΤΩ → 4т → н9 → гJ → Пd → αΣ → 6р → йD → ЫR → ωt → sА → uψ → qВ → yτ → iК → Οδ → Cк → ЭP → Гp → Ας → eО → ΨΥ → 2ф → с5 → лB → ЯN → Зl → Ικ → OЮ → Еn → Εξ → WЦ → οΔ → YФ → λΘ → QЬ → Бr → wφ → mЖ → Ημ → SЪ → χv → oД → Γπ → aТ → ηΜ → Iд → Сb → εΞ → Eи → ЩT → υx → kИ → Λθ → Kв → Нf → ΦΧ ⮌
31 cycle (fixed) 1 node ⮎ ΦцΧ ⮌
420 cycles41 nodes⮎ Q1фЭ → уВp4 → пzς8 → зfМG → ЧΥΧW → ρ1фΓ → уbР4 → пδΞ8 → зDиG → ЫЦVS → ωπΒu → sbРБ → εvφΟ → oDиЕ → ЫΔξS → ωXФu → νrАΗ → wTШχ → υnДy → ΕjИο → ΝXФη → νHдΗ → УTШa → υθΚy → kLаЙ → ЛΜζi → ΡHдγ → У9мa → гθΚK → ПLаe → ЛΩΣi → Ρ5рγ → л9мC → гЮNK → ПЖle → αΘκΤ → Q5рЭ → лВpC → ЯzςO → ЗfМm → ΦΘκΨ ⮌
53 cycles4 nodes⮎ ωsцωu → АrцАt → Бtцψs → Аuцχt ⮌