Base 235: 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
アィイゥウェエォオカガキギクグケ
ゲコゴサザシジスズセゼソゾタダチ
ヂッツヅテデトドナニヌネノハバパ
ヒビピフブプヘベペホボポマミムメ

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 29 nodes⮎ 3ベ → フ7 → ネF → ソV → ьΒ → φР → Jド → サd → мΣ → Ξр → Χи → Ζш → ξШ → Zス → фΚ → ζа → pォ → Фς → Rチ → ゥt → МА → Bパ → ヅN → キl → Ьκ → hケ → дβ → xァ → ДИ ⮌
31 cycle 2 nodes⮎ ЕボЗ → ЖボЖ ⮌
484 cycles92 nodes⮎ bSタジ → ィсΜw → ИαдЕ → z2ベя → プБК6 → パ8ビC → ニツNI → スガla → фЫκΛ → ζgケб → жqェα → ТΑьυ → ψMヅП → クGニk → セЯζY → шoォΗ → ЦνШρ → bUソジ → юсΜΑ → АαдН → zCハя → ッБКQ → ォ8ビq → ニУςI → スQチa → ェуΚs → Рεаχ → rIドエ → シСτc → рMヅΟ → クΦиk → аΗцη → μoォЫ → Цeコρ → кUソΦ → юΙфΑ → АηЮН → nCハガ → ッЩμQ → ォcサq → оУςΡ → ΣQチн → ェΟоs → РΤкχ → ΜIドу → シγвc → рuィΟ → КΦиГ → Θ6フч → ハλЪE → チeコS → ゥйΥu → МΙфБ → θAパЯ → デmカM → ケЩμi → дcサγ → оwァΡ → ЖΡмЗ → Π0ホп → ホΤк2 → ベΛт4 → フγв8 → ネuィG → ソЙВW → ь6フΓ → ハυРE → チKデS → コイtg → иЛАΨ → ΖAパщ → デοЦM → ケWセi → ъгβΕ → ςwァХ → ЖSタЗ → ィ0ホw → ホЗД2 → ベ2ベ4 → プピ76 → パヌFC → ヅゼVO → キыΒm → ЬυРλ → hKデゲ → コеΩg → иΑьΨ → ψΕшП → πGニЧ → セWセY → ъчΖΕ → ςνШХ ⮌
52 cycles4 nodes⮎ нΠボнΣ → оΟボоΡ → пΡボмΠ → оΣボлΡ ⮌