Base 131: 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

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 → 0У → Т1 → Р3 → М7
366 max steps100 → 0УУ → ТУ1 → СУ2 → РУ3 → ПУ4 → ОУ5 → НУ6 → МУ7 → ЛУ8 → КУ9 → ЙУA → ИУB → ЗУC → ЖУD → ЕУE → ДУF → ГУG → ВУH → БУI → АУJ → ωУK → ψУL → χУM → φУN → υУO → τУP → σУQ → ςУR → ρУS → πУT → οУU → ξУV → νУW → μУX → λУY → κУZ → ιУa → θУb → ηУc → ζУd → εУe → δУf → γУg → βУh → αУi → ΩУj → ΨУk → ΧУl → ΦУm → ΥУn → ΤУo → ΣУp → ΡУq → ΠУr → ΟУs → ΞУt → ΝУu → ΜУv → ΛУw → ΚУx → ΙУy → ΘУz → ΗУΑ → ΖУΒ → ΕУΓ → ΔУΔ
44 max stepsΕ000 → ΔУУΔ → ΔΓΔΕ → 1УУТ → Т0Т2
549 max steps30000 → 2УУУС → С1УС3 → ТНУ52 → СМУ63 → РКУ84 → ПЗУB5 → ОГУF6 → НψУK7 → МςУQ8 → ЛλУX9 → КγУfA → ЙΣУoB → ИΘУyC → ЗwУΚD → ЖxУΙE → ЕvУΛF → ДwУΚG → ГuУΜH → ВvУΛI → БtУΝJ → АuУΜK → ωsУΞL → ψtУΝM → χrУΟN → φsУΞO → υqУΠP → τrУΟQ → σpУΡR → ςqУΠS → ρoУΣT → πpУΡU → οnУΤV → ξoУΣW → νmУΥX → μnУΤY → λlУΦZ → κmУΥa → ιkУΧb → θlУΦc → ηjУΨd → ζkУΧe → εiУΩf → δjУΨg → γhУαh → βiУΩi → αgУβj → γfУγh → δiУΩg → γiУΩh
6170 max stepsO000dυ → υdNυζP → ΧΥpΡnm → ZWQςνλ → ΠΕyΘΓs → N91СКχ → РБΨjI4 → Мιcζa8 → ДwqΠΛG → ξPDЕτW → ςΤΕΒoS → ΞU2Рοu → ОΙIАy6 → Иθ9ЙbC → АφtΝNK → ζΨIАke → θpbηΣc → usRρΟΞ → ΞMIАχu → θαIАic → θtfγΞc → tlJωΧΟ → ζaKψιe → δwoΣΛg → lTDЕπΨ → ςΛaθwS → ΞvDЕΜu → ςJFГАS → ξηΝtcW → ΖsIАΟΓ → θM2Рχc → ОαsΞi6 → ИgKψγC → φδjΨfO → ΧmcζΦm → rZXλκΡ → ΒyOτΙΗ → ΥA4ОЙo → КωUξKA → АεΗzeK → ζo6МΤe → ЖpTοΣE → ςΚRρxS → ΟΝBЗut → φLHБψO → κγΦlga → xkYκΨΛ → zcCЖηΙ → τs8КΟQ → ВΣLχpI → κβRρha → ΞxhαΚu → hJBЗАγ → φηiΩcO → ΧseδΟm → nZLχκΦ → βyWμΙi → Δh9ЙβΕ → Аi0ТαK → Тζfγd2 → РqkΧΡ4 → МbPσθ8 → ДΣtΝpG → ξSIАρW → θΝΕΒuc → tI2РБΟ → ОιKψa6 → ИδvΛfC → φmEДΦO → πΧXλlU → ΚΒZιΖy → xB3ПИΛ → МχCЖM8 → ДτΩiPG → ξΤeδoW → ΖnTοΥΓ → ΚW2Рνy → ОΕAИΓ6 → Иψ1СLC → РφβgN4 → МΨiΩk8 → ДfbηδG → ξtlΦΞW → ΖZJωκΓ → ζy2РΙe → Оp9ЙΣ6 → ИАRρJC → φηΝtcO → ΧsIАΟm → θZLχκc → βysΞΙi → hL9Йψγ → АγiΩgK → ζkeδΨe → pnbηΥΤ → tWSπνΟ → ΜΕKψΓw → δF1СДg → РοkΧU4 → МΙaθy8 → Дv9ЙΜG → АξFГVK → ξζΖΑdW → Ζq4ОΡΓ → КQ2РσA → ОАΠqJ6 → ИηOτcC → φΥrΟnO → ΧWMφνm → ΩΕYκΓk → zd1СζΙ → Рq8КΡ4 → МВPσH8 → ДλΡpYG → ξΑQςΗW → ΠΖ5НΒs → ИN3ПφC → МφΧkN8 → ДΨaθkG → ξvbηΜW → ΖtFГΞΓ → ξK2РωW → ОεΕΒe6 → Иo2РΤC → ОφTοN6 → ИΨΙxkC → φcAИηO → ψΧrΟlM → βaMφιi → ΩwgβΛk → jdDЕζα → ςqeδΡS → ΞnPσΥu → ΣWIАνq → θΕQςΓc → Πt1СΞs → РNJωφ4 → МζΧkd8 → ДqaθΡG → ξvPσΜW → ΣΖFГΒq → ξR3ПςW → МΟΕΒs8 → ДM2РχG → ОξΩiV6 → ИΗeδΑC → φn5НΥO → ИΧVνlC → φΖZιΒO → Χx3ПΚm → МZBЗκ8 → ДφxΙNG → ξΨAИkW → ψΖbηΒM → βt3ПΞi → МhJωβ8 → ДζhαdG → ξqgβΡW → ΖjPσΩΓ → Σe2Рεq → ОoQςΤ6 → ИΠTοrC → φΚNυxO → ΨΦBЗml → φbXλθO → ΧΒtΝΖm → ZJ3ПАλ → МηyΘc8 → Дs8КΟG → ВξLχVI → κβΖΑha