Base 173: 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--
23 cycles28 nodes⮎ 1ь → ъ3 → ц7 → оF → ЮV → ψΒ → jР → Υζ → 9ф → кJ → Цd → θΣ → Dр → вR → Жt → zА → nМ → Μξ → Pд → Кp → Θς → XЬ → τΖ → bШ → μΞ → Lи → Тh → Ωβ ⮌
31 cycle 2 nodes⮎ Ωэβ → αэα ⮌
443 cycles86 nodes⮎ J2ъл → шЧb6 → тλΞC → жKиO → ФНlg → δΟκΨ → J4шл → фЧbA → кλΞK → ЦKиe → ФηΣg → δCрΨ → д4шQ → фЙpA → кΗςK → ЦYЪe → ςηΣΙ → XCрЭ → дυΔQ → КeФq → ζΗςΦ → Z8фЫ → мρΘI → ЪWЬa → φοΚΕ → fSаХ → ДεΥw → v8фЕ → мwВI → ЪsЖa → πΑψΛ → lSаП → ДΡθw → vEоЕ → аwВU → ВsЖy → ΒqИω → ΖkОυ → ΣcЦι → κEоΡ → аGмU → ЬБxY → τqИΗ → ΖaШυ → ξcЦΝ → κOдΡ → МGмo → ЬΛξY → τQвΗ → ИaШs → ξΓφΝ → hOдУ → МαΩo → Μ0ьο → ьQв2 → ъЗr4 → цΓφ8 → оgТG → ЮαΩW → ψ0ьΓ → ьiР2 → ъΦδ4 → ц6ц8 → рнFE → вЭVS → ЖχΒu → ziРБ → ΧoКε → Κ6цρ → рUЮE → вωzS → ЖmМu → ΞyАν → pMжЛ → РΙπk → ΥUЮη → АAтΑ → иmМM → ТΝμi → ΩMжγ → Р2ъk → шΤζ6 → тAтC → иеNM → ТНli → ΩΟκγ ⮌
51 cycle 4 nodes⮎ ДuэДw → ЕuэДv → ЕwэВv → ДvэГw ⮌