Base 200: 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
Cycle Start
11 max steps1 → 0
22 max steps20 → 1ジ → ザ3
3101 max steps100 → 0スス → ジス1 → シス2 → ザス3 → サス4 → ゴス5 → コス6 → ゲス7 → ケス8 → グス9 → クスA → ギスB → キスC → ガスD → カスE → オスF → ォスG → エスH → ェスI → ウスJ → ゥスK → イスL → ィスM → アスN → ァスO → яスP → юスQ → эスR → ьスS → ыスT → ъスU → щスV → шスW → чスX → цスY → хスZ → фスa → уスb → тスc → сスd → рスe → пスf → оスg → нスh → мスi → лスj → кスk → йスl → иスm → зスn → жスo → еスp → дスq → гスr → вスs → бスt → аスu → Яスv → Юスw → Эスx → Ьスy → Ыスz → ЪスΑ → ЩスΒ → ШスΓ → ЧスΔ → ЦスΕ → ХスΖ → ФスΗ → УスΘ → ТスΙ → СスΚ → РスΛ → ПスΜ → ОスΝ → НスΞ → МスΟ → ЛスΠ → КスΡ → ЙスΣ → ИスΤ → ЗスΥ → ЖスΦ → ЕスΧ → ДスΨ → ГスΩ → Вスα → Бスβ → Аスγ → ωスδ → ψスε → χスζ → φスη → υスθ → τスι → σスκ → ςスλ → ρスμ → πスν → οスξ → ξスο
413 max steps300P → P2ザァ → ゴжn6 → ギξξC → ァススO → ァNァP → йжnm → σξξλ → 7ススゲ → ゲ6ゲ8 → ガォFE → эшVS → бШΒu → γΚРБ
573 max stepsξ0000 → νスススπ → πμスπξ → ρ1スシν → ジνスο2 → シξスξ3 → ザμスπ4 → サνスο5 → ゴλスρ6 → コμスπ7 → ゲκスς8 → ケλスρ9 → グιスσA → クκスςB → ギθスτC → キιスσD → ガηスυE → カθスτF → オζスφG → ォηスυH → エεスχI → ェζスφJ → ウδスψK → ゥεスχL → イγスωM → ィδスψN → アβスАO → ァγスωP → яαスБQ → юβスАR → эΩスВS → ьαスБT → ыΨスГU → ъΩスВV → щΧスДW → шΨスГX → чΦスЕY → цΧスДZ → хΥスЖa → фΦスЕb → уΤスЗc → тΥスЖd → сΣスИe → рΤスЗf → пΡスЙg → оΣスИh → нΠスКi → мΡスЙj → лΟスЛk → кΠスКl → йΞスМm → иΟスЛn → зΝスНo → жΞスМp → еΜスОq → дΝスНr → гΛスПs → вΜスОt → бΚスРu → аΛスПv → ЯΙスСw → ЮΚスРx → ЭΘスТy → ЬΙスСz → ЫΗスУΑ → ЪΘスТΒ → ЩΖスФΓ → ШΗスУΔ → ЧΕスХΕ → ЦΖスФΖ → ХΔスЦΗ → ЧΓスЧΕ → ШΖスФΔ → ЧΖスФΕ