Base 168: 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

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 → 1ч → х3
385 max steps100 → 0шш → чш1 → цш2 → хш3 → фш4 → уш5 → тш6 → сш7 → рш8 → пш9 → ошA → ншB → мшC → лшD → кшE → йшF → ишG → зшH → жшI → ешJ → дшK → гшL → вшM → бшN → ашO → ЯшP → ЮшQ → ЭшR → ЬшS → ЫшT → ЪшU → ЩшV → ШшW → ЧшX → ЦшY → ХшZ → Фшa → Ушb → Тшc → Сшd → Ршe → Пшf → Ошg → Ншh → Мшi → Лшj → Кшk → Йшl → Ишm → Зшn → Жшo → Ешp → Дшq → Гшr → Вшs → Бшt → Ашu → ωшv → ψшw → χшx → φшy → υшz → τшΑ → σшΒ → ςшΓ → ρшΔ → πшΕ → οшΖ → ξшΗ → νшΘ → μшΙ → λшΚ → κшΛ → ιшΜ → θшΝ → ηшΞ → ζшΟ → εшΠ → δшΡ → γшΣ → βшΤ → αшΥ → ΩшΦ → ΨшΧ → ΧшΨ
413 max steps400H → H3фи → сЦX8 → йξΖG → ЩVШW → τρΓΒ → gbТП → ηΧΧΟ → Fшшй → йEйG → ЫШVU → χςΒy → mdРЙ → γΚκΤ
566 max steps30000 → 2шшшц → ц1шц3 → чтш52 → цсш63 → хпш84 → фмшB5 → уишF6 → тгшK7 → сЭшQ8 → рЦшX9 → пОшfA → оЕшoB → нυшyC → мκшΚD → лΧшΧE → кΙшλF → йΦшΨG → иΘшμH → зΥшΩI → жΗшνJ → еΤшαK → дΖшξL → гΣшβM → вΕшοN → бΡшγO → аΔшπP → ЯΠшδQ → ЮΓшρR → ЭΟшεS → ЬΒшςT → ЫΞшζU → ЪΑшσV → ЩΝшηW → ШzшτX → ЧΜшθY → ЦyшυZ → ХΛшιa → Фxшφb → УΚшκc → Тwшχd → СΙшλe → Рvшψf → ПΘшμg → Оuшωh → НΗшνi → МtшАj → ЛΖшξk → КsшБl → ЙΕшοm → ИrшВn → ЗΔшπo → ЖqшГp → ЕΓшρq → ДpшДr → Еzшτq → ДsшБr → Гyшυs → ВrшВt → Гvшψs → Вuшωt → Бuшωu → АtшАv → БrшВu → Гuшωs → Вvшψt → БtшАu