Base 191: 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
28 max steps10 → 0グ → ク1 → キ3 → ォ7 → ァF → рV → РΒ → ΒР
396 max steps100 → 0ググ → クグ1 → ギグ2 → キグ3 → ガグ4 → カグ5 → オグ6 → ォグ7 → エグ8 → ェグ9 → ウグA → ゥグB → イグC → ィグD → アグE → ァグF → яグG → юグH → эグI → ьグJ → ыグK → ъグL → щグM → шグN → чグO → цグP → хグQ → фグR → уグS → тグT → сグU → рグV → пグW → оグX → нグY → мグZ → лグa → кグb → йグc → иグd → зグe → жグf → еグg → дグh → гグi → вグj → бグk → аグl → Яグm → Юグn → Эグo → Ьグp → Ыグq → Ъグr → Щグs → Шグt → Чグu → Цグv → Хグw → Фグx → Уグy → Тグz → СグΑ → РグΒ → ПグΓ → ОグΔ → НグΕ → МグΖ → ЛグΗ → КグΘ → ЙグΙ → ИグΚ → ЗグΛ → ЖグΜ → ЕグΝ → ДグΞ → ГグΟ → ВグΠ → БグΡ → АグΣ → ωグΤ → ψグΥ → χグΦ → φグΧ → υグΨ → τグΩ → σグα → ςグβ → ρグγ → πグδ → οグε → ξグζ → νグη → μグθ → λグι → κグκ
44 max stepsλ000 → κググκ → κικλ → 1ググク → ク0ク2
569 max steps10000 → 0ググググ → クグググ1 → ク0グク2 → グガグ31 → クガグ32 → ギカグ43 → キォグ64 → ガウグ95 → カアグD6 → オьグI7 → ォцグO8 → エпグV9 → ェзグdA → ウЮグmB → ゥФグwC → イЙグΘD → ィχグΥE → アκグιF → ァΥグχG → яθグλH → юΤグψI → эηグμJ → ьΣグωK → ыζグνL → ъΡグАM → щεグξN → шΠグБO → чδグοP → цΟグВQ → хγグπR → фΞグГS → уβグρT → тΝグДU → сαグςV → рΜグЕW → пΩグσX → оΛグЖY → нΨグτZ → мΚグЗa → лΧグυb → кΙグИc → йΦグφd → иΘグЙe → зΥグχf → жΗグКg → еΤグψh → дΖグЛi → гΣグωj → вΕグМk → бΡグАl → аΔグНm → ЯΠグБn → ЮΓグОo → ЭΟグВp → ЬΒグПq → ЫΞグГr → ЪΑグРs → ЩΝグДt → ШzグСu → ЧΜグЕv → ЦyグТw → ХΛグЖx → ФxグУy → ФΙグИy → УyグТz → УΗグКz → ТzグСΑ → ТΕグМΑ → СΑグРΒ