Base 203: 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
24 max steps10 → 0ゼ → セ1 → ス3 → サ7
3102 max steps100 → 0ゼゼ → セゼ1 → ズゼ2 → スゼ3 → ジゼ4 → シゼ5 → ザゼ6 → サゼ7 → ゴゼ8 → コゼ9 → ゲゼA → ケゼB → グゼC → クゼD → ギゼE → キゼF → ガゼG → カゼH → オゼI → ォゼJ → エゼK → ェゼL → ウゼM → ゥゼN → イゼO → ィゼP → アゼQ → ァゼR → яゼS → юゼT → эゼU → ьゼV → ыゼW → ъゼX → щゼY → шゼZ → чゼa → цゼb → хゼc → фゼd → уゼe → тゼf → сゼg → рゼh → пゼi → оゼj → нゼk → мゼl → лゼm → кゼn → йゼo → иゼp → зゼq → жゼr → еゼs → дゼt → гゼu → вゼv → бゼw → аゼx → Яゼy → Юゼz → ЭゼΑ → ЬゼΒ → ЫゼΓ → ЪゼΔ → ЩゼΕ → ШゼΖ → ЧゼΗ → ЦゼΘ → ХゼΙ → ФゼΚ → УゼΛ → ТゼΜ → СゼΝ → РゼΞ → ПゼΟ → ОゼΠ → НゼΡ → МゼΣ → ЛゼΤ → КゼΥ → ЙゼΦ → ИゼΧ → ЗゼΨ → ЖゼΩ → Еゼα → Дゼβ → Гゼγ → Вゼδ → Бゼε → Аゼζ → ωゼη → ψゼθ → χゼι → φゼκ → υゼλ → τゼμ → σゼν → ςゼξ → ρゼο → πゼπ
44 max stepsρ000 → πゼゼπ → ποπρ → 1ゼゼセ → セ0セ2
573 max stepsο0000 → ξゼゼゼς → ςνゼςο → σ2ゼスξ → ズξゼρ3 → スοゼπ4 → ジνゼς5 → シξゼρ6 → ザμゼσ7 → サνゼς8 → ゴλゼτ9 → コμゼσA → ゲκゼυB → ケλゼτC → グιゼφD → クκゼυE → ギθゼχF → キιゼφG → ガηゼψH → カθゼχI → オζゼωJ → ォηゼψK → エεゼАL → ェζゼωM → ウδゼБN → ゥεゼАO → イγゼВP → ィδゼБQ → アβゼГR → ァγゼВS → яαゼДT → юβゼГU → эΩゼЕV → ьαゼДW → ыΨゼЖX → ъΩゼЕY → щΧゼЗZ → шΨゼЖa → чΦゼИb → цΧゼЗc → хΥゼЙd → фΦゼИe → уΤゼКf → тΥゼЙg → сΣゼЛh → рΤゼКi → пΡゼМj → оΣゼЛk → нΠゼНl → мΡゼМm → лΟゼОn → кΠゼНo → йΞゼПp → иΟゼОq → зΝゼРr → жΞゼПs → еΜゼСt → дΝゼРu → гΛゼТv → вΜゼСw → бΚゼУx → аΛゼТy → ЯΙゼФz → ЮΚゼУΑ → ЭΘゼХΒ → ЬΙゼФΓ → ЫΗゼЦΔ → ЪΘゼХΕ → ЩΖゼЧΖ → ШΗゼЦΗ → ЧΕゼШΘ → ЩΔゼЩΖ → ЪΗゼЦΕ → ЩΗゼЦΖ