Base 214: 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
ヂッツヅテデトドナニヌネノハバパ

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テ → ツ3
3108 max steps100 → 0デデ → テデ1 → ヅデ2 → ツデ3 → ッデ4 → ヂデ5 → チデ6 → ダデ7 → タデ8 → ゾデ9 → ソデA → ゼデB → セデC → ズデD → スデE → ジデF → シデG → ザデH → サデI → ゴデJ → コデK → ゲデL → ケデM → グデN → クデO → ギデP → キデQ → ガデR → カデS → オデT → ォデU → エデV → ェデW → ウデX → ゥデY → イデZ → ィデa → アデb → ァデc → яデd → юデe → эデf → ьデg → ыデh → ъデi → щデj → шデk → чデl → цデm → хデn → фデo → уデp → тデq → сデr → рデs → пデt → оデu → нデv → мデw → лデx → кデy → йデz → иデΑ → зデΒ → жデΓ → еデΔ → дデΕ → гデΖ → вデΗ → бデΘ → аデΙ → ЯデΚ → ЮデΛ → ЭデΜ → ЬデΝ → ЫデΞ → ЪデΟ → ЩデΠ → ШデΡ → ЧデΣ → ЦデΤ → ХデΥ → ФデΦ → УデΧ → ТデΨ → СデΩ → Рデα → Пデβ → Оデγ → Нデδ → Мデε → Лデζ → Кデη → Йデθ → Иデι → Зデκ → Жデλ → Еデμ → Дデν → Гデξ → Вデο → Бデπ → Аデρ → ωデς → ψデσ → χデτ → φデυ → υデφ
47 max stepsR00Τ → ΤQガЧ → сrрs → φσχφ → 3デデツ → ツ2ツ4 → ヂタ76 → ゼシFC
579 max steps1000R → R0デテキ → デオデS1 → テオデS2 → ヅォデT3 → ツェデV4 → ッイデY5 → ヂяデc6 → チъデh7 → ダфデn8 → タнデu9 → ゾеデΓA → ソЬデΜB → ゼТデΧC → セЗデιD → ズυデυE → スθデИF → ジτデφG → シηデЙH → ザσデχI → サζデКJ → ゴςデψK → コεデЛL → ゲρデωM → ケδデМN → グπデАO → クγデНP → ギοデБQ → キβデОR → ガξデВS → カαデПT → オνデГU → ォΩデРV → エμデДW → ェΨデСX → ウλデЕY → ゥΧデТZ → イκデЖa → ィΦデУb → アιデЗc → ァΥデФd → яθデИe → юΤデХf → эηデЙg → ьΣデЦh → ыζデКi → ъΡデЧj → щεデЛk → шΠデШl → чδデМm → цΟデЩn → хγデНo → фΞデЪp → уβデОq → тΝデЫr → сαデПs → рΜデЬt → пΩデРu → оΛデЭv → нΨデСw → мΚデЮx → лΧデТy → кΙデЯz → йΦデУΑ → иΘデаΒ → зΥデФΓ → жΗデбΔ → еΤデХΕ → дΖデвΖ → гΣデЦΗ → вΕデгΘ → дΟデЩΖ → гΙデЯΗ → вΞデЪΘ → бΘデаΙ → бΜデЬΙ → аΙデЯΚ → аΚデЮΚ → ЯΚデЮΛ → ЯΘデаΛ