Base 199: 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
215 max steps10 → 0ジ → シ1 → サ3 → ケ7 → ォFшVШΒΚРβАNァиlςκ7ケォF
3102 max steps100 → 0ジジ → シジ1 → ザジ2 → サジ3 → ゴジ4 → コジ5 → ゲジ6 → ケジ7 → グジ8 → クジ9 → ギジA → キジB → ガジC → カジD → オジE → ォジF → エジG → ェジH → ウジI → ゥジJ → イジK → ィジL → アジM → ァジN → яジO → юジP → эジQ → ьジR → ыジS → ъジT → щジU → шジV → чジW → цジX → хジY → фジZ → уジa → тジb → сジc → рジd → пジe → оジf → нジg → мジh → лジi → кジj → йジk → иジl → зジm → жジn → еジo → дジp → гジq → вジr → бジs → аジt → Яジu → Юジv → Эジw → Ьジx → Ыジy → Ъジz → ЩジΑ → ШジΒ → ЧジΓ → ЦジΔ → ХジΕ → ФジΖ → УジΗ → ТジΘ → СジΙ → РジΚ → ПジΛ → ОジΜ → НジΝ → МジΞ → ЛジΟ → КジΠ → ЙジΡ → ИジΣ → ЗジΤ → ЖジΥ → ЕジΦ → ДジΧ → ГジΨ → ВジΩ → Бジα → Аジβ → ωジγ → ψジδ → χジε → φジζ → υジη → τジθ → σジι → ςジκ → ρジλ → πジμ → οジν → ξジξνジοξジξ
4103 max stepsο000 → ξジジξ → ξνξο → 1ジジシ → シ0シ2シゴ32サグ74ケエF8ォчVGшЧΒWШΙРΓΚuЮСΩuЮГΩSъГЮSъwЮΦДwΧWцЕЦWцΕЦΕФΕΖΓЦХΘΓЦУΘyЪУΠyЪЛΠiкЛψiкεψIゥεтIゥcтЛΞcМkиΟτkиιτAキιィAキMィлhMмωβiАMァγкMァkкυζkφEォηъEォUъЫxUЬΡИyΣeоЙЖeоΦЖYфΦТYфΙТwЬΙΥwЬЗΥaтЗОaтΝОoдΝμoдρμ4コρク4コAクイJAゥпdKрЗΣeИcрΤКcрΡКgмΡВgмαВQьαвQьsвεφsζGェχцGェYцУΖYФΑШΗΜΑШПΜqвПθqвυθCカυюCカQюгpQдιςqκ8クσェ8クIェуZIфПΚaРsаΛδsаωδKィωоKィgоГΧgДUшΨЪUшΑЪΝМΑΞmжНπmжνπ2サνコ2サ6コガB6キяNCァзlOиρκmς6ケλカ6ケEカыREьЯtSаαАuβOюБжOюoжνξoξ0シοシ0シ2
577 max steps10006 → 60ジシコ → ジグジ71 → シグジ72 → ザクジ83 → サキジA4 → ゴオジD5 → コウジH6 → ゲァジM7 → ケъジS8 → グуジZ9 → クлジhA → ギвジqB → キШジΑC → ガНジΜD → カБジΩE → オξジνF → ォΩジБG → エμジοH → ェΨジВI → ウλジπJ → ゥΧジГK → イκジρL → ィΦジДM → アιジςN → ァΥジЕO → яθジσP → юΤジЖQ → эηジτR → ьΣジЗS → ыζジυT → ъΡジИU → щεジφV → шΠジЙW → чδジχX → цΟジКY → хγジψZ → фΞジЛa → уβジωb → тΝジМc → сαジАd → рΜジНe → пΩジБf → оΛジОg → нΨジВh → мΚジПi → лΧジГj → кΙジРk → йΦジДl → иΘジСm → зΥジЕn → жΗジТo → еΤジЖp → дΖジУq → гΣジЗr → вΕジФs → бΡジИt → аΔジХu → ЯΠジЙv → ЮΓジЦw → ЭΟジКx → ЬΒジЧy → ЫΞジЛz → ЪΑジШΑ → ЩΝジМΒ → ШzジЩΓ → ЪΚジПΑ → ЩΔジХΒ → ШΙジРΓ → ЧΓジЦΔ → ЧΗジТΔ → ЦΔジХΕ → ЦΕジФΕ → ХΕジФΖ → ХΓジЦΖЧΔジХΔЦΗジТΕХΓジЦΖ