Base 126: 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
22 max steps20 → 1Н → Л3
364 max steps100 → 0ОО → НО1 → МО2 → ЛО3 → КО4 → ЙО5 → ИО6 → ЗО7 → ЖО8 → ЕО9 → ДОA → ГОB → ВОC → БОD → АОE → ωОF → ψОG → χОH → φОI → υОJ → τОK → σОL → ςОM → ρОN → πОO → οОP → ξОQ → νОR → μОS → λОT → κОU → ιОV → θОW → ηОX → ζОY → εОZ → δОa → γОb → βОc → αОd → ΩОe → ΨОf → ΧОg → ΦОh → ΥОi → ΤОj → ΣОk → ΡОl → ΠОm → ΟОn → ΞОo → ΝОp → ΜОq → ΛОr → ΚОs → ΙОt → ΘОu → ΗОv → ΖОw → ΕОx → ΔОy → ΓОz → ΒОΑ → ΑОΒ
47 max stepsG00l → lFψΣ → ιVθW → ΒyΓΒ → 3ООЛ → Л2Л4 → ЙЖ76 → ГψFC
551 max steps1000G → G0ОНω → ОφОH1 → НφОH2 → МυОI3 → ЛσОK4 → КπОN5 → ЙμОR6 → ИηОW7 → ЗαОc8 → ЖΣОj9 → ЕΚОrA → ДΑОΑB → ГqОΛC → ВzОΒD → БpОΜE → АyОΓF → ωoОΝG → ψxОΔH → χnОΞI → φwОΕJ → υmОΟK → τvОΖL → σlОΠM → ςuОΗN → ρkОΡO → πtОΘP → οjОΣQ → ξsОΙR → νiОΤS → μrОΚT → λhОΥU → κqОΛV → ιgОΦW → θpОΜX → ηfОΧY → ζoОΝZ → εeОΨa → δnОΞb → γdОΩc → βmОΟd → αcОαe → βjОΣd → αfОΧe → ΩiОΤf → ΨeОΨg → ΩfОΧf → ΨhОΥg → ΧeОΨh → ΩeОΨf → ΩhОΥf → ΨfОΧg
6487 max steps4000IΒ → ΒI3КφΒ → ЗγООa8 → ЖδTκa9 → χΕqΛxI → εK6Зτa → БΩrΚeE → νjHφΤS → εΙYεta → usEωΚΙ → λHDАχU → νζΔxYS → Ιv5ИΗu → ГEAГАC → σρλSNM → ΦΣΖvki → cX9Дηγ → υxnΞΕK → αQ6Зξe → БΜjΣqE → νYKσζS → ΨΙuΗtg → gFBВωΨ → ρκfΧUO → ΡΔfΧym → gU4ЙκΨ → ЕΔfΧyA → υg4ЙΧK → ЕαeΨdA → υlhΥΡK → αcUιβe → ΓnjΣΟΑ → YR1Мνη → ЛΚvΖs4 → ЗH9Дχ8 → ωυεYJG → ιβtΘcW → ΑnDАΟΓ → νR1МνS → ЛΚΘts4 → ЗHDАχ8 → ωνεYRG → ιΚtΘsW → ΑHDАχΓ → νζ1МYS → ЛΙuΗt4 → ЗFBВω8 → ωριUNG → ιΣΒzkW → ΑX1МηΓ → Лx1МΕ4 → ЛЗ6З74 → ЗБωED8 → ωξκTQG → ιΜΔxqW → ΑL5ИσΓ → ГΧ1МgC → ЛρeΨN4 → ЗΣhΥk8 → ωcWηβG → ιymΟΔW → ΑS4ЙμΓ → ЕΘ1МuA → ЛυCБJ4 → ЗοαcP8 → ωΞlΠoG → ιUOοκW → ΟΔzΒyo → Q51МЙο → ЛДΜpA4 → ЗτLςK8 → ωΩΥheG → ιjbβΤW → ΑoYεΞΓ → uP1МοΙ → ЛΞDАo4 → ЗνOοR8 → ωΟΙsnG → ιRFψνW → ιΚzΒsW → ΑH1МχΓ → Лζ1МY4 → ЛЗuΗ74 → ЗАBВE8 → ωρλSNG → ιΣΖvkW → ΑX9ДηΓ → υx1МΕK → Лα6Зd4 → ЗБkΡD8 → ωξVθQG → ιΜzΒqW → ΑL1МσΓ → ЛΧ1Мg4 → ЛЗeΨ74 → ЗАhΥE8 → ωμbβSG → ιΘnΞuW → ΑQCБξΓ → οΜ1МqQ → ЛΝKσp4 → ЗΨMρf8 → ωΤgΦjG → ιeYεΩW → ΑuiΤΘΓ → aD1МБε → ЛξrΚQ4 → ЗΜHφq8 → ωεKσZG → ιΨsΙfW → ΑhFψΦΓ → ιd1МαW → ЛΑkΡΒ4 → ЗW0Нθ8 → НωyΓF2 → Лκ3КU4 → ИЖΓy87 → Бψ3КGE → ЗνηWR8 → ωΚxΔsG → ιH5ИχW → ГζzΒYC → ρv1МΗO → ЛΡAГl4 → ЗσUιL8 → ωΧΒzgG → ιf1МΨW → ЛΑgΦΒ4 → Зe0НΩ8 → НωiΤF2 → ЛκZδU4 → ЗΔrΚy8 → ωI4ЙφG → ЕιγaVA → υΒpΜΑK → αM0Нςe → НΥjΣi2 → ЛbXζγ4 → ЗwoΝΖ8 → ωO8ЕπG → χιΟmVI → εΒRμΑa → Ιs0НΚu → НHDАχ2 → ЛνεYR4 → ЗΚtΘs8 → ωHDАχG → νιεYVS → ΙΒtΘΑu → FD0НБА → НξκTQ2 → ЛΜΔxq4 → ЗL5Иσ8 → ГωΦgFC → ρκdΩUO → ΡΔjΣym → YU4Йκη → ЕΔvΖyA → υA4ЙДK → ЕτΩdKA → υΩjΣeK → αjXζΤe → wkYεΣΗ → uX9ДηΙ → υxDАΕK → να6ЗdS → БΙkΡtE → νWEωθS → λΙyΓtU → ΕF3Кωy → Зκ5ИU8 → ГωΓyFC → ρκ3КUO → ЗΡΓyl8 → ωV3КιG → ЗιΑΑV8 → ωΑООΑG → ψΒlΠΑH → ηU0НκY → НΔvΖy2 → ЛA4ЙД4 → ЗЕσK98 → ωφΧfIG → ιδfΧaW → ΑrfΧΛΓ → gJ1МυΨ → ЛβfΧc4 → ЗnfΧΟ8 → ωgQνΧG → ιΛeΨrW → ΑiIυΥΓ → γb1Мγc → ЛpnΞΝ4 → ЗQMρξ8 → ωΤΛqjG → ιZJτεW → αΑsΙΒe → kG0НψΤ → НθXζW2 → ЛzvΖΓ4 → ЗA2ЛД8 → ЙωσKF6 → ГκΧfUC → ρΔfΧyO → Ρg4ЙΧm → ЕfTκΨA → υΕgΦxK → αe6ЗΩe → БkiΤΣE → νaWηδS → ΙyqΛΔu → KE4ЙАυ → ЕμΩdSA → υΘjΣuK → αYCБζe → οvjΣΗQ → ΝYAГζq → σvLςΗM → ΧΥAГih → σeaγΩM → ΦqiΤΜi → caKσδγ → ΨrnΞΛg → gQIυξΨ → γΜfΧqc → ogKσΧΟ → ΨfPξΨg → ΝhfΧΦq → gdLςαΨ → ΦlfΧΡi → gcUιβΨ → ΓnfΧΟΑ → gR1МνΨ → ЛΚfΧs4 → ЗgGχΧ8 → ωηeΨXG → ιxhΥΕW → Αc6ЗβΓ → Бn1МΟE → ЛνQνR4 → ЗΛΙsr8 → ωJFψυG → κθαcWV → ΓzlΠΓΑ → U31МЛλ → ЛИΔx64 → ЗВ5ИC8 → ГωοOFC → ρκΞnUO → ΡΔPξym → ΝU4Йκq → ЕΔLςyA → υΦ4ЙhK → ЕαcαdA → υmkΡΠK → αWSλθe → ΗzjΣΓw → YA2ЛДη → ЙτvΖK6 → ГΩ9ДeC → υρiΤNK → αΣZδke → skWηΣΛ → yXHφηΕ → εx5ИΕa → Гs6ЗΚC → БρGχNE → νηΡkXS → ΙxVθΕu → ΑE6ЗАΓ → Бμ1МSE → ЛνΗuR4 → ЗΚBВs8 → ωρGχNG → ιηΡkXW → ΑxVθΕΓ → Α71МЗΓ → ЛА1МE4 → ЛЗλS74 → ЗАΖvE8 → ωμ9ДSG → υιΗuVK → αΒBВΑe → ρk0НΣO → НΡWηl2 → ЛyUιΔ4 → ЗΓ4Йz8 → Еω2ЛFA → ЙυιUJ6 → ГβΒzcC → ρn1МΟO → ЛΡQνl4 → ЗΛUιr8 → ωΓIυzG → ιγ2ЛbW → ЙΑoΝΒ6 → ГO0НπC → НρΟmN2 → ЛΣRμk4 → ЗΙWηt8 → ωyEωΔG → λι4ЙVU → ЕΕΑΑxA → υ6ООЗK → ИτBВK7 → БρΨeNE → νΣhΥkS → ΙcWηβu → ynDАΟΕ → νR5ИνS → ГΚΘtsC → ρHDАχO → νζΠlYS → ΙvTκΗu → ΕEAГАy → σμ5ИSM → ГΦΗuhC → ρdBВαO → ρΡkΡlO → ΡWUιθm → ΓzTκΓΑ → Ε31МЛy → ЛИ5И64 → ЗГБCB8 → ωςξPMG → ιΥΜpiW → ΑbLςγΓ → Φp1МΝi → ЛcMρβ4 → ЗΤmΟj8 → ωZRμεG → ιΙsΙtW → ΑGEωψΓ → λθ1МWU → ЛΕyΓx4 → З73КЗ8 → ЗАψFE8 → ωμθVSG → ιΘzΒuW → ΑD1МБΓ → Лξ1МQ4 → ЛЗΛq74 → ЗАJτE8 → ωμΩdSG → ιΘjΣuW → ΑYCБζΓ → οv1МΗQ → ЛΝAГp4 → ЗσMρL8 → ωΧΣjgG → ιfXζΨW → ΑwgΦΖΓ → e91МЕα → ЛφjΣI4 → ЗδXζa8 → ωwqΛΖG → ιK8ЕτW → χΩzΒeI → εj1МΤa → ЛsYεΚ4 → ЗuGχΘ8 → ωηCБXG → οιwΕVQ → ΝΒ7ЖΑq → ωM0НςG → НιΤiV2 → ЛΒZδΑ4 → Зs0НΚ8 → НωGχF2 → ЛκζXU4 → ЗΔvΖy8 → ωA4ЙДG → ЕτθVKA → υΩzΒeK → αj1МΤe → ЛkYεΣ4 → ЗuWηΘ8 → ωyCБΔG → οι4ЙVQ → ЕΝΑΑpA → υMООρK → τς3КML → ЗΨΤif8 → ωhZδΦG → ιscαΚW → ΑmGχΠΓ → ηT1МλY → ЛΖvΖw4 → ЗA8ЕД8 → ωχσKHG → ιζΧfYW → ΑvfΧΗΓ → gB1МГΨ → ЛςfΧM4 → ЗΥfΧi8 → ωgaγΧG → ιqeΨΜW → ΑiKσΥΓ → Ψb1Мγg → ЛpfΧΝ4 → ЗgMρΧ8 → ωΤeΨjG → ιiYεΥW → ΑuaγΘΓ → qD1МБΝ → ЛξLςQ4 → ЗΦΛqh8 → ωdJταG → ιαkΡdW → ΑlVθΡΓ → ΑV1МιΓ → ЛΒ1МΑ4 → ЛЗ0Н74 → НЗωE72 → ЛАκTE4 → ЗμΔxS8 → ωΘ5ИuG → ГιCБVC → ροΑΑPO → ΡΝООom → ΠΞ3Кon → ЗSOομ8 → ωΟΗunG → ιRBВνW → ρΚzΒsO → ΡH1Мχm → ЛζTκY4 → ЗΕuΗx8 → ωC6ЗВG → БπθVOE → νΠzΒmS → ΙT1Мλu → ЛΖDАw4 → Зν8ЕR8 → ωχΙsHG → ιζFψYW → ιΑuΗΒW → ΑC0НВΓ → Нπ1МO2 → МКΟm43 → ЙЖRμ86 → ГψΘtGC → ρθDАWO → νΡyΓlS → ΙV3Кιu → ЗΒDАΑ8 → ων0НRG → НιΙsV2 → ЛΒFψΑ4 → Зι0НV8 → НωΑΑF2 → ЛιООU4 → КκRμU5 → ЕΙΓytA → υF3КωK → ЗκΩdU8 → ωΔjΣyG → ιY4ЙζW → ЕΑuΗΒA → υC0НВK → НπΩdO2 → ЛΠjΣm4 → ЗYSλζ8 → ωΗuΗvG → ιCAГВW → σπzΒOM → ΦΠ1Мmi → ЛcSλβ4 → ЗΗmΟv8 → ωSAГμG → σιΗuVM → ΦΒBВΑi → ρc0НβO → НΡmΟl2 → ЛVRμι4 → ЗΙΑΑt8 → ωEООωG → АχООGF → ωψ2ЛGG → ЙιηWV6 → ГΒxΔΑC → ρ60НИO → НВΠlC2 → ЛπTκO4 → ЗΠΔxm8 → ωT5ИλG → ГιΕwVC → ρΒ7ЖΑO