Base 206: 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
22 max steps20 → 1ゾ → ゼ3
3104 max steps100 → 0タタ → ゾタ1 → ソタ2 → ゼタ3 → セタ4 → ズタ5 → スタ6 → ジタ7 → シタ8 → ザタ9 → サタA → ゴタB → コタC → ゲタD → ケタE → グタF → クタG → ギタH → キタI → ガタJ → カタK → オタL → ォタM → エタN → ェタO → ウタP → ゥタQ → イタR → ィタS → アタT → ァタU → яタV → юタW → эタX → ьタY → ыタZ → ъタa → щタb → шタc → чタd → цタe → хタf → фタg → уタh → тタi → сタj → рタk → пタl → оタm → нタn → мタo → лタp → кタq → йタr → иタs → зタt → жタu → еタv → дタw → гタx → вタy → бタz → аタΑ → ЯタΒ → ЮタΓ → ЭタΔ → ЬタΕ → ЫタΖ → ЪタΗ → ЩタΘ → ШタΙ → ЧタΚ → ЦタΛ → ХタΜ → ФタΝ → УタΞ → ТタΟ → СタΠ → РタΡ → ПタΣ → ОタΤ → НタΥ → МタΦ → ЛタΧ → КタΨ → ЙタΩ → Иタα → Зタβ → Жタγ → Еタδ → Дタε → Гタζ → Вタη → Бタθ → Аタι → ωタκ → ψタλ → χタμ → φタν → υタξ → τタο → σタπ → ςタρ → ρタς
47 max stepsQ00Π → ΠPゥТ → лpкq → ςοσς → 3タタゼ → ゼ2ゼ4 → ズシ76 → ゴクFC
575 max stepsρ0000 → πタタタσ → σοタσρ → τ1タソπ → ゾπタς2 → ソρタρ3 → ゼοタσ4 → セπタς5 → ズξタτ6 → スοタσ7 → ジνタυ8 → シξタτ9 → ザμタφA → サνタυB → ゴλタχC → コμタφD → ゲκタψE → ケλタχF → グιタωG → クκタψH → ギθタАI → キιタωJ → ガηタБK → カθタАL → オζタВM → ォηタБN → エεタГO → ェζタВP → ウδタДQ → ゥεタГR → イγタЕS → ィδタДT → アβタЖU → ァγタЕV → яαタЗW → юβタЖX → эΩタИY → ьαタЗZ → ыΨタЙa → ъΩタИb → щΧタКc → шΨタЙd → чΦタЛe → цΧタКf → хΥタМg → фΦタЛh → уΤタНi → тΥタМj → сΣタОk → рΤタНl → пΡタПm → оΣタОn → нΠタРo → мΡタПp → лΟタСq → кΠタРr → йΞタТs → иΟタСt → зΝタУu → жΞタТv → еΜタФw → дΝタУx → гΛタХy → вΜタФz → бΚタЦΑ → аΛタХΒ → ЯΙタЧΓ → ЮΚタЦΔ → ЭΘタШΕ → ЬΙタЧΖ → ЫΗタЩΗ → ЪΘタШΘ → ЩΖタЪΙ → ЫΕタЫΗ → ЬΘタШΖ → ЫΘタШΗ