Base 140: 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

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---
23 cycles6,394×(max) 46 nodes⮎ 0Ь → Ы1 → Щ3 → Х7 → НF → χV → ΟΒ → CР → ГP → γp → aς → ΕΜ → 6Ц → ПD → БR → Ψt → SА → Φv → OД → εn → eξ → wΥ → MЖ → ιj → mζ → gμ → sΩ → Uψ → Ρz → GМ → υX → ΛΖ → 4Ш → У9 → ЙJ → οd → yΣ → IК → ρb → ΓΞ → AТ → ЗL → λh → qβ → Yτ → ΙΘ ⮌
3,197×23 nodes⮎ 2Ъ → Ч5 → СB → ЕN → ηl → iκ → oδ → cπ → ΑΠ → EО → ωT → Τx → KИ → νf → uΧ → QВ → αr → Wφ → ΝΔ → 8Ф → ЛH → σZ → ΗΚ ⮌
139×(fixed) 1 node ⮎ kθ ⮌
31 cycle 467,040×(fixed) (max) 1 node ⮎ ΘЬΙ ⮌
414 cycles1,552,942×(max) 12 nodes⮎ KBРЙ → ЕξdO → ηxΣm → iJИλ → οpβe → yZςΤ → ΗJИΛ → ο3Шe → ХxΣ8 → НJИG → χξdW → ΟxΣΓ ⮌
1,538,271×(max) 12 nodes⮎ C3ШС → ХДN8 → НζlG → χhκW → ΟpβΓ → aBРσ → ЕΖΚO → η3Шm → Хhκ8 → НpβG → χZςW → ΟΖΚΓ ⮌
1,533,282×(max) 12 nodes⮎ S3ШБ → ХΧt8 → НRАG → χΧtW → ΟRАΓ → ΨBРu → ЕRАO → ηΧtm → iRАλ → Ψpβu → aRАσ → ΨΖΚu ⮌
1,531,862×(max) 12 nodes⮎ qZςγ → ΗZςΛ → Η3ШΛ → Х3Ш8 → ХМF8 → НφVG → χΞΒW → ΟBРΓ → ЕBРO → ЕζlO → ηhκm → qhκγ ⮌
1,528,864×(max) 12 nodes⮎ K3ШЙ → Хξd8 → НxΣG → χJИW → οΞΒe → yBРΤ → ЕJИO → οζle → yhκΤ → qJИγ → οZςe → ΗxΣΛ ⮌
1,458,206×(max) 12 nodes⮎ SBРБ → ЕΧtO → ηRАm → Ψhκu → qRАγ → ΨZςu → ΗRАΛ → Ψ3Шu → ХRА8 → НΧtG → χRАW → ΨΞΒu ⮌
1,442,542×(max) 12 nodes⮎ iBРλ → ЕpβO → ηZςm → ΗhκΛ → q3Шγ → ХZς8 → НΖΚG → χ3ШW → ХΞΒ8 → НBРG → ЕφVO → ηΞΒm ⮌
1,422,416×(max) 12 nodes⮎ aJИσ → οΖΚe → y3ШΤ → ХJИ8 → НξdG → χxΣW → ΟJИΓ → οBРe → ЕxΣO → ηJИm → οhκe → ypβΤ ⮌
1,419,560×(max) 12 nodes⮎ i3Шλ → Хpβ8 → НZςG → χΖΚW → Ο3ШΓ → ХBР8 → НДNG → χζlW → ΟhκΓ → qBРγ → ЕZςO → ηΖΚm ⮌
1,418,780×(max) 12 nodes⮎ a3Шσ → ХΖΚ8 → Н3ШG → ХφV8 → НΞΒG → χBРW → ЕΞΒO → ηBРm → ЕhκO → ηpβm → iZςλ → ΗpβΛ ⮌
768,828×6 nodes⮎ SJИБ → οΧte → yRАΤ → ΨJИu → οRАe → ΨxΣu ⮌
651,776×6 nodes⮎ ΗBРΛ → Е3ШO → Хζl8 → НhκG → χpβW → ΟZςΓ ⮌
325,380×3 nodes⮎ yJИΤ → οJИe → οxΣe ⮌
108,836×(fixed) 1 node ⮎ ΨRАu ⮌
52 cycles480,988,650×(max) 4 nodes⮎ θjЬθl → ιjЬθk → ιlЬζk → θkЬηl ⮌
19,738×2 nodes⮎ ΙΗЬΙΙ → ΙЬЬЬΘ ⮌
6+---Not showing digit sets 6+ due to verbosity.