Base 204: 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 Max Steps Max Step Example
Full Cycle
12 max steps1 → 0 → 0
212 max steps20 → 1ゼ → ズ3 → ザ7 → ギF → эV → ЭΒ → ΟР → oк → ρπ → 0ソ → ゼ1 → ズ3
3104 max steps100 → 0ソソ → ゼソ1 → セソ2 → ズソ3 → スソ4 → ジソ5 → シソ6 → ザソ7 → サソ8 → ゴソ9 → コソA → ゲソB → ケソC → グソD → クソE → ギソF → キソG → ガソH → カソI → オソJ → ォソK → エソL → ェソM → ウソN → ゥソO → イソP → ィソQ → アソR → ァソS → яソT → юソU → эソV → ьソW → ыソX → ъソY → щソZ → шソa → чソb → цソc → хソd → фソe → уソf → тソg → сソh → рソi → пソj → оソk → нソl → мソm → лソn → кソo → йソp → иソq → зソr → жソs → еソt → дソu → гソv → вソw → бソx → аソy → Яソz → ЮソΑ → ЭソΒ → ЬソΓ → ЫソΔ → ЪソΕ → ЩソΖ → ШソΗ → ЧソΘ → ЦソΙ → ХソΚ → ФソΛ → УソΜ → ТソΝ → СソΞ → РソΟ → ПソΠ → ОソΡ → НソΣ → МソΤ → ЛソΥ → КソΦ → ЙソΧ → ИソΨ → ЗソΩ → Жソα → Еソβ → Дソγ → Гソδ → Вソε → Бソζ → Аソη → ωソθ → ψソι → χソκ → φソλ → υソμ → τソν → σソξ → ςソο → ρソπ → πソρ → πソρ
418 max stepsJ00W → WIオэ → чЬΒc → СΞРΟ → roйи → ρμτρ → 7ソソザ → ザ6ザ8 → グキFE → アьVS → еЬΒu → ηΞРБ → qJォй → хξςe → Н3スΤ → ザhр8 → ギДβG → эRァW → еЬΒu
579 max steps1000M → M0ソゼエ → ソゥソN1 → ゼゥソN2 → セイソO3 → ズアソQ4 → スюソT5 → ジъソX6 → シхソc7 → ザпソi8 → サиソp9 → ゴаソxA → コЧソΗB → ゲНソΡC → ケВソδD → グπソπE → クγソГF → ギοソρG → キβソДH → ガξソςI → カαソЕJ → オνソσK → ォΩソЖL → エμソτM → ェΨソЗN → ウλソυO → ゥΧソИP → イκソφQ → ィΦソЙR → アιソχS → ァΥソКT → яθソψU → юΤソЛV → эηソωW → ьΣソМX → ыζソАY → ъΡソНZ → щεソБa → шΠソОb → чδソВc → цΟソПd → хγソГe → фΞソРf → уβソДg → тΝソСh → сαソЕi → рΜソТj → пΩソЖk → оΛソУl → нΨソЗm → мΚソФn → лΧソИo → кΙソХp → йΦソЙq → иΘソЦr → зΥソКs → жΗソЧt → еΤソЛu → дΖソШv → гΣソМw → вΕソЩx → бΡソНy → аΔソЪz → ЯΠソОΑ → ЮΓソЫΒ → ЭΟソПΓ → ЬΒソЬΔ → ЭΜソТΓ → ЬΕソЩΔ → ЫΛソУΕ → ЪΔソЪΖ → ЫΘソЦΕ → ЪΗソЧΖ → ЩΗソЧΗ → ШΖソШΘ → ЩΔソЪΗ → ЫΗソЧΕ → ЪΘソЦΖ → ЩΖソШΗ → ЩΖソШΗ