Base 200: 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

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---
24 cycles6,567×(max) 33 nodes⮎ 0ス → ジ1 → ザ3 → ゲ7 → オF → щV → ЩΒ → ΛР → sв → εψ → Iェ → уb → НΞ → mи → ρμ → 4サ → グ9 → ウJ → сd → ЙΣ → eр → ЗΥ → aф → ПΜ → qд → ιτ → Aク → イL → нh → Бβ → Oァ → зn → οξ ⮌
6,567×(max) 33 nodes⮎ 2シ → ゴ5 → ギB → アN → йl → σκ → 8ケ → エH → хZ → СΚ → uа → αВ → Qю → гr → ηφ → Eカ → ыT → Эx → ΤИ → cт → ЛΠ → iм → ωδ → Kゥ → пf → ЕΧ → Wш → ЧΔ → ΗФ → ΑЪ → ΝО → oж → νπ ⮌
6,567×(max) 33 nodes⮎ 6コ → ガD → эR → бt → γА → Mィ → лj → χζ → Gォ → чX → ХΖ → ΓШ → ΙТ → wЮ → ΦЖ → Yц → УΘ → yЬ → ΡК → gо → ГΩ → Sь → Яv → ΨД → Uъ → Ыz → ΟМ → kк → υθ → Cキ → яP → еp → λς ⮌
199×(fixed) 1 node ⮎ ΕЦ ⮌
31 cycle 1,353,200×(fixed) (max) 1 node ⮎ ξスο ⮌
48 cycles10,979,992×(max) 10 nodes⮎ eNァс → йИΣm → σdрλ → Й7ケΤ → オdрG → щИΣW → ЩdрΓ → ЙΚРΤ → udрб → ЙβАΤ ⮌
10,858,338×(max) 10 nodes⮎ ΛtаС → γtаБ → γNァБ → йNァm → йςκm → σ7ケλ → オ7ケG → オшVG → щШΒW → ЩΚРΓ ⮌
10,572,528×(max) 10 nodes⮎ O7ケア → オиlG → щςκW → Щ7ケΓ → オΚРG → щtаW → ЩβАΓ → ΛNァС → йtаm → σβАλ ⮌
10,560,336×(max) 10 nodes⮎ e7ケс → オИΣG → щdрW → ЩИΣΓ → ΛdрС → ЙtаΤ → γdрБ → ЙNァΤ → йdрm → ЙςκΤ ⮌
9,880,174×(max) 10 nodes⮎ uNァб → йβАm → σNァλ → й7ケm → オςκG → щ7ケW → オШΒG → щΚРW → ЩtаΓ → γΚРБ ⮌
9,645,716×(max) 10 nodes⮎ Λ7ケС → オtаG → щβАW → ЩNァΓ → йΚРm → σtаλ → γ7ケБ → オNァG → щиlW → ЩςκΓ ⮌
5,314,686×5 nodes⮎ u7ケб → オβАG → щNァW → йШΒm → σΚРλ ⮌
873,080×(fixed) 1 node ⮎ ЙdрΤ ⮌
52 cycles2,802,309,642×(max) 4 nodes⮎ ЦΔスЦΖ → ЧΔスЦΕ → ЧΖスФΕ → ЦΕスХΖ ⮌
40,198×2 nodes⮎ ονスοο → οスススξ ⮌
6+---Not showing digit sets 6+ due to verbosity.