Base 192: 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
250 max steps20 → 1グ → ギ3オ7アFсVСΒΓРΑТΕОΝЖυΩзfχΧЯnηξ6カイDхRЩtΤАУzΗМΦψЫrΨφгjοζ8ォяHнZЙΚιμ2クガ5ウBщNбlλκ0ケグ1ギ3
398 max steps100 → 0ケケ → グケ1 → クケ2 → ギケ3 → キケ4 → ガケ5 → カケ6 → オケ7 → ォケ8 → エケ9 → ェケA → ウケB → ゥケC → イケD → ィケE → アケF → ァケG → яケH → юケI → эケJ → ьケK → ыケL → ъケM → щケN → шケO → чケP → цケQ → хケR → фケS → уケT → тケU → сケV → рケW → пケX → оケY → нケZ → мケa → лケb → кケc → йケd → иケe → зケf → жケg → еケh → дケi → гケj → вケk → бケl → аケm → Яケn → Юケo → Эケp → Ьケq → Ыケr → Ъケs → Щケt → Шケu → Чケv → Цケw → Хケx → Фケy → Уケz → ТケΑ → СケΒ → РケΓ → ПケΔ → ОケΕ → НケΖ → МケΗ → ЛケΘ → КケΙ → ЙケΚ → ИケΛ → ЗケΜ → ЖケΝ → ЕケΞ → ДケΟ → ГケΠ → ВケΡ → БケΣ → АケΤ → ωケΥ → ψケΦ → χケΧ → φケΨ → υケΩ → τケα → σケβ → ςケγ → ρケδ → πケε → οケζ → ξケη → νケθ → μケι → λケκ → κケλκケλ
429 max steps3006 → 62ギガ → ガゥB6 → ウшNC → щаlO → бκκm → κケケλ → λιλλ → 1ケケグ → グ0グ2 → グキ32 → ギォ74 → オァF8 → アрVG → сРΒW → СΒРΓΔΑСРΕzТПΗxФНΛtШЙΤlаБλVрλРケケΓРΒРΔΓzТСΗΒРНΓtШСΤΒРБΓVрССΒРΓ
575 max steps1000G → G0ケグア → ケюケH1 → グюケH2 → クэケI3 → ギыケK4 → キшケN5 → ガфケR6 → カпケW7 → オйケc8 → ォвケj9 → エЪケrA → ェСケΑB → ウЗケΛC → ゥφケΧD → イκケκE → ィΦケχF → アιケλG → ァΥケψH → яθケμI → юΤケωJ → эηケνK → ьΣケАL → ыζケξM → ъΡケБN → щεケοO → шΠケВP → чδケπQ → цΟケГR → хγケρS → фΞケДT → уβケςU → тΝケЕV → сαケσW → рΜケЖX → пΩケτY → оΛケЗZ → нΨケυa → мΚケИb → лΧケφc → кΙケЙd → йΦケχe → иΘケКf → зΥケψg → жΗケЛh → еΤケωi → дΖケМj → гΣケАk → вΕケНl → бΡケБm → аΔケОn → ЯΠケВo → ЮΓケПp → ЭΟケГq → ЬΒケРr → ЫΞケДs → ЪΑケСt → ЩΝケЕu → ШzケТv → ЧΜケЖw → ЦyケУx → ХΛケЗy → ФxケФz → ХΘケКy → ФΑケСz → УΗケЛΑ → ТzケТΒ → УΔケОΑ → ТΓケПΒ → СΓケПΓ → РΒケРΔ → СzケТΓ → УΓケПΑ → ТΔケОΒ → СΒケРΓСΒケРΓ