Base 202: Maximum Iteration Sequences: Cycle Start

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ
λμνξοπρςστυφχψωА
БВГДЕЖЗИЙКЛМНОПР
СТУФХЦЧШЩЪЫЬЭЮЯа
бвгдежзийклмнопр
стуфхцчшщъыьэюя

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 Max Steps Max Step Example
Cycle Start
11 max steps10
22 max steps20 → 1ズ → ジ3
3102 max steps100 → 0セセ → ズセ1 → スセ2 → ジセ3 → シセ4 → ザセ5 → サセ6 → ゴセ7 → コセ8 → ゲセ9 → ケセA → グセB → クセC → ギセD → キセE → ガセF → カセG → オセH → ォセI → エセJ → ェセK → ウセL → ゥセM → イセN → ィセO → アセP → ァセQ → яセR → юセS → эセT → ьセU → ыセV → ъセW → щセX → шセY → чセZ → цセa → хセb → фセc → уセd → тセe → сセf → рセg → пセh → оセi → нセj → мセk → лセl → кセm → йセn → иセo → зセp → жセq → еセr → дセs → гセt → вセu → бセv → аセw → Яセx → Юセy → Эセz → ЬセΑ → ЫセΒ → ЪセΓ → ЩセΔ → ШセΕ → ЧセΖ → ЦセΗ → ХセΘ → ФセΙ → УセΚ → ТセΛ → СセΜ → РセΝ → ПセΞ → ОセΟ → НセΠ → МセΡ → ЛセΣ → КセΤ → ЙセΥ → ИセΦ → ЗセΧ → ЖセΨ → ЕセΩ → Дセα → Гセβ → Вセγ → Бセδ → Аセε → ωセζ → ψセη → χセθ → φセι → υセκ → τセλ → σセμ → ςセν → ρセξ → πセο → οセπ
47 max stepsP00Ο → ΟOアП → йnиo → ςοοξ → 3セセジ → ジ2ジ4 → ザコ76 → グカFC
575 max steps1000L → L0セズェ → セイセM1 → ズイセM2 → スィセN3 → ジァセP4 → シэセS5 → ザщセW6 → サфセb7 → ゴоセh8 → コзセo9 → ゲЯセwA → ケЦセΖB → グМセΠC → クБセγD → ギοセοE → キβセВF → ガξセπG → カαセГH → オνセρI → ォΩセДJ → エμセςK → ェΨセЕL → ウλセσM → ゥΧセЖN → イκセτO → ィΦセЗP → アιセυQ → ァΥセИR → яθセφS → юΤセЙT → эηセχU → ьΣセКV → ыζセψW → ъΡセЛX → щεセωY → шΠセМZ → чδセАa → цΟセНb → хγセБc → фΞセОd → уβセВe → тΝセПf → сαセГg → рΜセРh → пΩセДi → оΛセСj → нΨセЕk → мΚセТl → лΧセЖm → кΙセУn → йΦセЗo → иΘセФp → зΥセИq → жΗセХr → еΤセЙs → дΖセЦt → гΣセКu → вΕセЧv → бΡセЛw → аΔセШx → ЯΠセМy → ЮΓセЩz → ЭΟセНΑ → ЬΒセЪΒ → ЫΞセОΓ → ЪΑセЫΔ → ЬΛセСΒ → ЫΕセЧΓ → ЪΚセТΔ → ЩΔセШΕ → ЩΘセФΕ → ШΕセЧΖ → ШΖセЦΖ → ЧΖセЦΗ → ЧΔセШΗ