Base 197: 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
23 max steps10 → 0ザ → サ1 → コ3
399 max steps100 → 0ザザ → サザ1 → ゴザ2 → コザ3 → ゲザ4 → ケザ5 → グザ6 → クザ7 → ギザ8 → キザ9 → ガザA → カザB → オザC → ォザD → エザE → ェザF → ウザG → ゥザH → イザI → ィザJ → アザK → ァザL → яザM → юザN → эザO → ьザP → ыザQ → ъザR → щザS → шザT → чザU → цザV → хザW → фザX → уザY → тザZ → сザa → рザb → пザc → оザd → нザe → мザf → лザg → кザh → йザi → иザj → зザk → жザl → еザm → дザn → гザo → вザp → бザq → аザr → Яザs → Юザt → Эザu → Ьザv → Ыザw → Ъザx → Щザy → Шザz → ЧザΑ → ЦザΒ → ХザΓ → ФザΔ → УザΕ → ТザΖ → СザΗ → РザΘ → ПザΙ → ОザΚ → НザΛ → МザΜ → ЛザΝ → КザΞ → ЙザΟ → ИザΠ → ЗザΡ → ЖザΣ → ЕザΤ → ДザΥ → ГザΦ → ВザΧ → БザΨ → АザΩ → ωザα → ψザβ → χザγ → φザδ → υザε → τザζ → σザη → ςザθ → ρザι → πザκ → οザλ → ξザμ → νザν
44 max stepsξ000 → νザザν → νμνξ → 1ザザサ → サ0サ2
571 max stepsμ0000 → λザザザο → οκザομ → π2ザコλ → ゴλザξ3 → コμザν4 → ゲκザο5 → ケλザξ6 → グιザπ7 → クκザο8 → ギθザρ9 → キιザπA → ガηザςB → カθザρC → オζザσD → ォηザςE → エεザτF → ェζザσG → ウδザυH → ゥεザτI → イγザφJ → ィδザυK → アβザχL → ァγザφM → яαザψN → юβザχO → эΩザωP → ьαザψQ → ыΨザАR → ъΩザωS → щΧザБT → шΨザАU → чΦザВV → цΧザБW → хΥザГX → фΦザВY → уΤザДZ → тΥザГa → сΣザЕb → рΤザДc → пΡザЖd → оΣザЕe → нΠザЗf → мΡザЖg → лΟザИh → кΠザЗi → йΞザЙj → иΟザИk → зΝザКl → жΞザЙm → еΜザЛn → дΝザКo → гΛザМp → вΜザЛq → бΚザНr → аΛザМs → ЯΙザОt → ЮΚザНu → ЭΘザПv → ЬΙザОw → ЫΗザРx → ЪΘザПy → ЩΖザСz → ШΗザРΑ → ЧΕザТΒ → ЦΖザСΓ → ХΔザУΔ → ФΕザТΕ → УΓザФΖ → ХΒザХΔ → ЦΕザТΓ → ХΕザТΔ