Base 125: Maximum Iteration Sequences: Cycle Start

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ
λμνξοπρςστυφχψωА
БВГДЕЖЗИЙКЛМНОПР

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 → 0Н → М1 → К3
363 max steps100 → 0НН → МН1 → ЛН2 → КН3 → ЙН4 → ИН5 → ЗН6 → ЖН7 → ЕН8 → ДН9 → ГНA → ВНB → БНC → АНD → ωНE → ψНF → χНG → φНH → υНI → τНJ → σНK → ςНL → ρНM → πНN → οНO → ξНP → νНQ → μНR → λНS → κНT → ιНU → θНV → ηНW → ζНX → εНY → δНZ → γНa → βНb → αНc → ΩНd → ΨНe → ΧНf → ΦНg → ΥНh → ΤНi → ΣНj → ΡНk → ΠНl → ΟНm → ΞНn → ΝНo → ΜНp → ΛНq → ΚНr → ΙНs → ΘНt → ΗНu → ΖНv → ΕНw → ΔНx → ΓНy → ΒНz → ΑНΑ
44 max stepsΒ000 → ΑННΑ → ΑzΑΒ → 1ННМ → М0М2
547 max stepsz0000 → yНННΓ → ΓxНΓz → Δ2НКy → ЛyНΒ3 → КzНΑ4 → ЙxНΓ5 → ИyНΒ6 → ЗwНΔ7 → ЖxНΓ8 → ЕvНΕ9 → ДwНΔA → ГuНΖB → ВvНΕC → БtНΗD → АuНΖE → ωsНΘF → ψtНΗG → χrНΙH → φsНΘI → υqНΚJ → τrНΙK → σpНΛL → ςqНΚM → ρoНΜN → πpНΛO → οnНΝP → ξoНΜQ → νmНΞR → μnНΝS → λlНΟT → κmНΞU → ιkНΠV → θlНΟW → ηjНΡX → ζkНΠY → εiНΣZ → δjНΡa → γhНΤb → βiНΣc → αgНΥd → ΩhНΤe → ΨfНΦf → ΧgНΥg → ΦeНΧh → ΨdНΨf → ΩgНΥe → ΨgНΥf
6534 max stepsI000АА → ААHυDE → νμγZRR → ΚΙqΚss → JHFχφυ → θεαbYW → zumΞΗΓ → RC2КБν → ИοΙrO6 → ВΟGφmC → πζRλXO → ΠΘvΕtm → TE8Дωλ → φλΕvSI → δΗ8Дua → φrBБΚI → πδHυZO → δΠrΙla → rUGφιΛ → ζΓIτyY → βv3ЙΖc → Жn9ГΞ8 → ψτPνJG → θαΛpcW → zmKςΟΓ → ΧS2Кλg → ИΗeΧu6 → ВhBБΥC → ροbαON → ΣΟmΞmk → XSQμλη → ΚΗwΔus → HC6ЖБχ → АοεXOE → μΟuΖmS → ΘSAВλu → ςΗCАuM → ξΥBБhQ → πΜbαpO → ΠnLρΞm → ΥTPνκi → ΜΕaβwq → pL7ЕςΝ → ψΦMπgG → θΣdΨjW → zjXεΣΓ → vY2КεΗ → ИuAВΗ6 → ВςBБLC → ροΥgON → ΣΟcΩmk → lXRλζΡ → ΘwUθΕu → ΒD7ЕАΑ → ψν0МQG → МθΚqV2 → КΑIτΑ4 → ЖαННb8 → ЕβUθb9 → φΒnΝzI → δP1Лξa → КΝqΚo4 → ЖOIτο8 → ψβΞmbG → θoQμΝW → ΚzNοΒs → ΠH1Лφm → КεSκY4 → ЖΖtΗv8 → ψD9ГАG → τνηVQK → ΩΛyΒqe → jK2КσΤ → ИΨYδe6 → ВthΤΘC → πbDωβO → μΠnΝlS → ΘUOξιu → ΞΓCАyo → ξP3ЙξQ → ЖΝΛpo8 → ψOKςοG → θΧΞmfW → zgQμΦΓ → Κe2КΨs → ИiGφΤ6 → ВζZγXC → πwqΚΕO → ΠJ7Еτm → ψαSκcG → θΖlΟvW → zT9ГκΓ → τΕ2КwK → ИΩ7Еd6 → ВψjΡFC → πιWζUO → ΠΓwΔym → T73ЙЖλ → ЖωΕvE8 → ψλ8ДSG → φθΖuVI → δΑAВΑa → ςqННΚM → ρΛVηqN → ΣzJσΒk → ΩX1Лζe → КwiΣΕ4 → ЖZ7Еδ8 → ωχrΙGF → κηGφWU → ζΔxΓxY → v64ИЗΗ → ДБAВCA → τςξOLK → ΩΦΝnge → jeOξΨΤ → ΞiYδΤo → taOξγΙ → ΞqEψΛo → κPJσξU → ΩΝΓxoe → jO4ИοΤ → ДΟYδmA → τtRλΘK → ΩΘDωte → μjDωΣS → μΘXεtS → ΘvDωΖu → μD9ГАS → τνΗtQK → ΩΛCАqe → ξjJσΣQ → ΩΜXεpe → vjLρΣΗ → ΥYAВεi → ςuaβΗM → ΥpBБΜi → πbLρβO → ΥΠnΝli → bUOξιγ → ΞΓoΜyo → PN3Йπο → ЖΡΝnk8 → ψWOξηG → θΞxΓnW → zQ4ИνΓ → ДΛ2КqA → ИτJσJ6 → ВαΨdcC → πmiΣΟO → ΠZRλδm → ΘsSκΙu → ΖGCАχw → ξη8ДWQ → φΜxΓpI → δM4Иρa → ДΤqΚiA → τaIτγK → βΩpΛdc → nkKςΡΟ → ΧWQμηg → ΚyeΧΓs → hH3ЙφΦ → ЖεcΩY8 → ψukΠΗG → θVBБθW → πΑyΒΑO → Π2ННКm → ЛΟhΤm3 → ИbRλβ6 → ВΘnΝtC → πPDωξO → μΠΜolS → ΘUMπιu → ΣΓCАyk → ξX3ЙζQ → ЖΜvΕp8 → ψM8ДρG → φθΣiVI → δΑYδΑa → tqННΚΙ → ΛΘ0Мtr → МJDωτ2 → КμΩcR4 → ЖΙkΠs8 → ψVFχθG → ιηzΑWV → Βy0МΓΑ → М40МЙ2 → МКД832 → КЗυH64 → ЖБγZC8 → ψοqΚOG → θΟIτmW → βzRλΒc → Θn1ЛΞu → КQCАν4 → ЖξΚqP8 → ψΝIτoG → θβNοbW → ΠznΝΒm → TP1Лξλ → КΝΕvo4 → ЖO8Дο8 → ψφΞmHG → θεQμYW → ΚztΗΒs → HD1ЛАχ → КνεXQ4 → ЖΛuΖq8 → ψKAВσG → ςθΧeVM → ΥΑgΥΑi → daННβα → γΩ0Мdb → МpjΡΜ2 → КXLρζ4 → ЖΥvΕh8 → ψc8ДαG → φθlΟVI → δΑSκΑa → ΖqННΚw → ΛΕ3Йwr → ЖJ7Еτ8 → ωχΩcGF → κηkΠWU → ΔyUθΓy → Β53ЙИΑ → ЖГ0МA8 → МψςKF2 → КιΦfU4 → ЖΓeΧy8 → ψh3ЙΥG → ЖθbαV8 → ψΑmΞΑG → θQННμW → νη3ЙWR → ЖΚxΓr8 → ψI4ИυG → ДθβaVA → τΑoΜΑK → ΩMННπe → ρΨFχeN → θΣhΤjW → zbXεβΓ → vo2КΝΗ → ИOAВο6 → ВςΞmLC → πΦQμgO → ΠΚdΨrm → jTHυκΤ → δΕYδwa → tr7ЕΚΙ → ψIEψυG → κθβaVU → ΔΑoΜΑy → N4ННИρ → ЙπGφN5 → ДζΠkXA → τwUθΕK → ΩΒ7Еze → ψj1ЛΣG → КθXεV4 → ЖΑuΖΑ8 → ψAННВG → Гχ3ЙGB → ЖςζWL8 → ψΦwΔgG → θe6ЖΨW → АzhΤΒE → μb1ЛβS → КΘnΝt4 → ЖPDωξ8 → ψμΜoRG → θΙMπsW → ΣzFχΒk → θX1ЛζW → КzvΕΒ4 → Ж91ЛД8 → КψτIF4 → ЖιαbU8 → ψΓmΞyG → θR3ЙμW → ЖΙyΒs8 → ψG2КχG → ИθζWV6 → ВΑwΔΑC → π6ННЖO → ЗοFχO7 → АθΞmVE → μΑQμΑS → ΚΗННts → ΙΘ2Кtt → ИFDωψ6 → ВμθURC → πΙΑzsO → ΠG0Мχm → МηSκW2 → КΖxΓv4 → ЖA4ИГ8 → ДψςKFA → τιΦfUK → ΩΓeΧye → jh3ЙΥΤ → ЖcYδα8 → ψtlΟΘG → θTDωκW → μΕyΒwS → Θ82КЕu → ИχCАG6 → ВξζWPC → πΝwΔoO → ΠO6Жοm → АΟSκmE → μΖRλvS → ΙΗ9Гut → τFBБψK → πιΨdUO → ΠΓiΣym → ZT3Йκε → ЖΕsΘw8 → ψF7ЕψG → ψιηVUG → θΓyΒyW → z42КЙΓ → ИЕ2К86 → ИВφGB6 → ВρεXMC → πΤuΖiO → ΠaAВγm → ςqSκΛM → ΥΖJσvi → Ωb9Гβe → τoiΣΝK → ΩZNοδe → ΠsiΣΙm → ZTFχκε → θΕsΘwW → zF7ЕψΓ → ψι2КUG → ИθΒyV6 → ВΑ2КΑC → ИοННN6 → ЗπIτN7 → АβΠkbE → μoUθΝS → ΘΒNοzu → ΠD1ЛАm → КνSκQ4 → ЖΛΕvq8 → ψK8ДσG → φθΧeVI → δΑgΥΑa → rcННΩΛ → αΚCАrd → ξlHυΠQ → δΜTιpa → ΔrLρΚy → ΥI4Иυi → ДγaβaA → τqoΜΛK → ΩNJσπe → ΩΡiΣke → jZVηδΤ → zsYδΙΓ → tG2КχΙ → ИηEψW6 → ВκxΓTC → πΕ4ИwO → ДΠ7ЕlA → ψτTιJG → θαΓxcW → zm4ИΟΓ → ДS2КλA → ИτΖuJ6 → ВαAВcC → ςπlΟNM → ΥΡSκki → ΖbVηβw → zo8ДΝΓ → φO2КοI → ИδΞmZ6 → ВsQμΙC → πΚFχrO → θΠHυlW → δzTιΒa → Δr1ЛΚy → КI4Иυ4 → ЖДβa98 → ψυoΜIG → θγMπaW → ΣzpΛΒk → XL1Лςη → КΦwΔg4 → Жe6ЖΨ8 → АψhΤFE → μιaβUS → ΘΓoΜyu → ND3ЙАρ → ЖνΡjQ8 → ψΛWζqG → θxJσΔW → Ωz5ЗΒe → Вj1ЛΣC → КπXεN4 → ЖΡuΖk8 → ψWAВηG → ςθxΓVM → ΥΑ4ИΑi → ДaННβA → ГγRλaB → ςΘpΛtM → ΥLDωςi → μΦaβgS → ΘpdΨΜu → jMCАρΤ → ξΤYδiQ → ΜtZγΘq → rLDωςΛ → μΦIτgS → βΘdΨtc → njDωΣΟ → μYQμεS → ΚΘtΗts → HECАωχ → ξλεXSQ → ΜΗuΖuq → LCAВБσ → ςοΦfOM → ΥΟeΧmi → hbRλβΦ → ΘocΩΝu → lOCАοΡ → ξΟUθmQ → ΜΒRλzq → ΘL1Лςu → КΦCАg4 → ЖξdΨP8 → ψΝiΣoG → θZNοδW → ΠzrΙΒm → TH1Лφλ → КεΕvY4 → Жu8ДΗ8 → ψφBБHG → πθδYVO → ΠΑsΘΑm → TEННψλ → ωκCАTF → ξκΔwTQ → ΜΕ6Жwq → АL7ЕςE → ψμΥgRG → θΙcΩsW → zlFχΠΓ → θU2КιW → ИΓyΒy6 → В42КЙC → ИЕοN86 → ВχΟlGC → πηSκWO → ΠΖxΓvm → TA4ИГλ → ДσΕvKA → τΨ8ДeK → φΩhΤdI → δkaβΡa → rpVηΜΛ → zMIτρΓ → βΤ2Кic → ИnZγΞ6 → ВrPνΚC → πΜHυpO → δΠLρla → ΥrTιΚi → ΔbHυβy → δo4ИΝa → ДrNοΚA → τΠHυlK → δΩTιda → ΔrjΡΚy → XI4Иυη → ДγwΔaA → τq6ЖΛK → АΩJσdE → μΩjΡdS → ΘkWζΡu → xWCАηΕ → ξy6ЖΓQ → АΜ3ЙpE → ЖμLρR8 → ψΥΘshG → θcEψαW → κzlΟΒU → ΔT1Лκy → КΕ4Иw4 → ЖД7Е98 → ωχτIGF → κηαbWU → ΔymΞΓy → R53ЙИν → ЖГΙrA8 → ψσGφKG → θζΧeXW → zwgΥΕΓ → d82КЕα → ИχkΠG6 → ВηUθWC → πΒxΓzO → Π51ЛИm → КГSκA4 → ЖσΕvK8 → ψΨ8ДeG → φθhΤVI → δΑaβΑa → roННΜΛ → ΝΚ0Мrp → МNHυπ2 → КδΠkZ4 → ЖsUθΙ8 → ψΒFχzG → ιη1ЛWV → КΒxΓz4 → Ж51ЛИ8 → КГχFA4 → ЖσηVK8 → ψΨyΒeG → θi2КΤW → ИzZγΒ6 → Вr1ЛΚC → КπHυN4 → ЖδΠkZ8 → ψsUθΙG → θΒFχzW → θz1ЛΒW