Base 240: Cycles Sequences: All Cycle Counts

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)		 Frequency Cycle
Length		 Full Cycles
(excluding zero)
(bold = exactly one cycle [excluding zero])
10 cycles---
210 cycles2,868×(max) 12 nodes⮎ 0メ → ム1 → マ3 → ペ7 → ヒF → ヂV → アΒ → БР → Eビ → ツT → ウx → ЙИ ⮌
2,868×(max) 12 nodes⮎ 2ミ → ボ5 → ブB → ナN → ゲl → бκ → mケ → Яμ → iサ → зδ → yゥ → ЗК ⮌
2,868×(max) 12 nodes⮎ 4ポ → ヘ9 → ノJ → ズd → сΣ → Τр → Ρт → Φо → Νц → εж → wェ → ЛЖ ⮌
2,868×(max) 12 nodes⮎ 6ホ → ピD → テR → オt → СА → Gパ → ダX → эΖ → σШ → Uッ → イz → ЕМ ⮌
2,868×(max) 12 nodes⮎ 8ベ → バH → ゾZ → щΚ → λа → kコ → гθ → qキ → Чτ → Sヅ → エv → НД ⮌
2,868×(max) 12 nodes⮎ Aプ → ヌL → ザh → йβ → Γァ → ωТ → Iハ → ゼb → хΞ → γи → Αィ → ГО ⮌
2,868×(max) 12 nodes⮎ Cフ → トP → ギp → Щς → Wチ → яΔ → χФ → Mニ → ゴj → еζ → uォ → ПВ ⮌
2,868×(max) 12 nodes⮎ Kネ → ジf → нΧ → Λш → ιв → oク → Ыπ → aソ → чΜ → ηд → sカ → Уψ ⮌
2,868×(max) 12 nodes⮎ Oド → グn → Эξ → eス → пΥ → Οф → αк → Εю → υЦ → Qデ → ガr → Хφ ⮌
2,868×(max) 12 nodes⮎ Yタ → ыΘ → οЬ → cセ → уΠ → Ψм → Ιъ → νЮ → gシ → лΩ → Ηь → ρЪ ⮌
31 cycle 2,332,640×(fixed) (max) 1 node ⮎ ИメЙ ⮌
48 cycles30,571,584×4 nodes⮎ mFパゲ → ヂаκW → アlケΓ → бАРλ ⮌
29,293,724×4 nodes⮎ БFパС → ヂFパW → ヂァΒW → アАРΓ ⮌
25,164,992×4 nodes⮎ ΤFパс → ヂΣрW → アΣрΓ → БΣрС ⮌
25,164,256×4 nodes⮎ БlケС → бFパλ → ヂlケW → アаκΓ ⮌
15,209,968×2 nodes⮎ Τlケс → бΣрλ ⮌
10,004,416×2 nodes⮎ アFパΓ → ヂАРW ⮌
5,000,976×(fixed) 1 node ⮎ бlケλ ⮌
1,312,304×(max) 5 nodes⮎ Fメメヒ → ヒEヒG → ツチVU → ウァΒy → ЙАРЙ ⮌
52 cycles6,915,997,970×(fixed) 1 node ⮎ сΣメрΤ ⮌
57,838×(max) 2 nodes⮎ ЙЗメЙЙ → ЙメメメИ ⮌
6+---Not showing digit sets 6+ due to verbosity.