Base 198: Maximum Iteration Sequences: Full Cycle

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
Full Cycle
12 max steps100
2101 max steps20 → 1ザ → ゴ3グ7エFчVЧΒΙРΨВЭvΦДХΔΕФΓЦΗТΟКχδIゥсbЛΞσθAキアLлhωβMァйjυζEォщTЫxΡИЕΥСΘΤЖНΜλπ4コギ9イJпdЗΣЙΠБΩбrεφGェхXУΖΑШΛОητCカэPгpις8クウHуZПΚγψKィнfГΧЩzΝМομ2サゲ5ガBяNзlρκ6ケオDыRЯtαАеnνξ0シザ1ゴ3
3101 max steps100 → 0シシ → ザシ1 → サシ2 → ゴシ3 → コシ4 → ゲシ5 → ケシ6 → グシ7 → クシ8 → ギシ9 → キシA → ガシB → カシC → オシD → ォシE → エシF → ェシG → ウシH → ゥシI → イシJ → ィシK → アシL → ァシM → яシN → юシO → эシP → ьシQ → ыシR → ъシS → щシT → шシU → чシV → цシW → хシX → фシY → уシZ → тシa → сシb → рシc → пシd → оシe → нシf → мシg → лシh → кシi → йシj → иシk → зシl → жシm → еシn → дシo → гシp → вシq → бシr → аシs → Яシt → Юシu → Эシv → Ьシw → Ыシx → Ъシy → Щシz → ШシΑ → ЧシΒ → ЦシΓ → ХシΔ → ФシΕ → УシΖ → ТシΗ → СシΘ → РシΙ → ПシΚ → ОシΛ → НシΜ → МシΝ → ЛシΞ → КシΟ → ЙシΠ → ИシΡ → ЗシΣ → ЖシΤ → ЕシΥ → ДシΦ → ГシΧ → ВシΨ → БシΩ → Аシα → ωシβ → ψシγ → χシδ → φシε → υシζ → τシη → σシθ → ςシι → ρシκ → πシλ → οシμ → ξシν → νシξνシξ
422 max stepsP00Ν → ΝOэН → еnдo → ξλοξ → 3シシゴ → ゴ2ゴ4 → ゲク76 → ガェFCяцVOзЦΒmρΘРλw5ケЭガΥДCяXфOзТΖmρzШλΝ5ケНガnдCяμξOз1サmゴπκ4グ5ケ8ガェFC
577 max steps1000J → J0シザゥ → シアシK1 → ザアシK2 → サァシL3 → ゴюシN4 → コыシQ5 → ゲчシU6 → ケтシZ7 → グмシf8 → クеシm9 → ギЭシuA → キФシΔB → ガКシΞC → カωシαD → オνシνE → ォΩシАF → エμシξG → ェΨシБH → ウλシοI → ゥΧシВJ → イκシπK → ィΦシГL → アιシρM → ァΥシДN → яθシςO → юΤシЕP → эηシσQ → ьΣシЖR → ыζシτS → ъΡシЗT → щεシυU → шΠシИV → чδシφW → цΟシЙX → хγシχY → фΞシКZ → уβシψa → тΝシЛb → сαシωc → рΜシМd → пΩシАe → оΛシНf → нΨシБg → мΚシОh → лΧシВi → кΙシПj → йΦシГk → иΘシРl → зΥシДm → жΗシСn → еΤシЕo → дΖシТp → гΣシЖq → вΕシУr → бΡシЗs → аΔシФt → ЯΠシИu → ЮΓシХv → ЭΟシЙw → ЬΒシЦx → ЫΞシКy → ЪΑシЧz → ЩΝシЛΑ → ШzシШΒ → ЩΚシОΑ → ШΓシХΒ → ЧΙシПΓ → ЦΒシЦΔ → ЧΖシТΓ → ЦΕシУΔ → ХΕシУΕ → ФΔシФΖ → ХΒシЦΕ → ЧΕシУΓ → ЦΖシТΔ → ХΔシФΕХΔシФΕ