Base 94: Maximum Iteration Sequences: Full Cycle

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ

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
Full Cycle
12 max steps100
238 max steps20 → 1η → ε3α7ΡFΑVWzavqfΛLohΤDΕRctyXerΗPgpΟHwZmjγ5ΦBΙNklη1ε3
349 max steps100 → 0θθ → ηθ1 → ζθ2 → εθ3 → δθ4 → γθ5 → βθ6 → αθ7 → Ωθ8 → Ψθ9 → ΧθA → ΦθB → ΥθC → ΤθD → ΣθE → ΡθF → ΠθG → ΟθH → ΞθI → ΝθJ → ΜθK → ΛθL → ΚθM → ΙθN → ΘθO → ΗθP → ΖθQ → ΕθR → ΔθS → ΓθT → ΒθU → ΑθV → zθW → yθX → xθY → wθZ → vθa → uθb → tθc → sθd → rθe → qθf → pθg → oθh → nθi → mθj → lθk → kθlkθl
430 max stepsC00Z → ZBΥx → ΙNΘO → liml → 3θθε → ε2ε4 → γΩ76 → ΦΠFCΙzVOkTΒmY1ζyεPΖ4αfp8Ρ9ΧGΝzVKsTΒeYDΣyΕPΖSgbtqI9ΧΟΝvZKsLΚeoDΣiΕ5βSΦbtCΙHΞOwjlaM1ζΛεnh4α5β8ΦΠFC
541 max steps10000 → 0θθθθ → ηθθθ1 → η0θη2 → θδθ31 → ηδθ32 → ζγθ43 → εαθ64 → δΧθ95 → γΣθD6 → βΝθI7 → αΗθO8 → ΩzθV9 → ΨrθdA → ΧiθmB → ΦcθsC → ΥhθnD → ΤbθtE → ΣgθoF → ΡaθuG → ΠfθpH → ΟZθvI → ΞeθqJ → ΝYθwK → ΜdθrL → ΛXθxM → ΚcθsN → ΙWθyO → ΘbθtP → ΗVθzQ → ΖaθuR → ΕUθΑS → ΔZθvT → ΓTθΒU → ΓXθxU → ΒUθΑV → ΒVθzV → ΑVθzW → ΑTθΒWΓUθΑUΒXθxVΑTθΒW
6392 max stepsa000ΙΙ → ΙΙZvNO → lkLΚll → o0θθηi → θnfpi1 → ηA4γΧ2 → εΨΛK94 → αΞpfI8 → Ρv9ΧaG → ΝΑKΛVK → sqUΑfe → WEAΦΣΑ → ΛΔTΒSM → obXxui → QJ5βΝΗ → ΦtfpcC → ΙH9ΧΟO → ΝxjlYK → sP1ζΗe → εhDΣo4 → αΕ6αR8 → ΤΡcsFE → ΕΒFΠUS → ΑcWytW → USGΟΔΓ → ybXxuY → RPIΝΗΖ → uhdroc → IE6αΣΟ → ΤΔvZSE → ΕbLΚuS → ocIΝti → uH5βΟc → ΦxHΞYC → ΙwOΗZO → kiMΙnm → m51ζγk → εΧ1ζA4 → εαΛK74 → αΣpfE8 → ΡΔ9ΧSG → ΝΑauVK → sVJΜΑe → sVDΣΑe → ΕVDΣΑS → ΕcUΑtS → cWGΟzu → yTHΞΓY → wZPΖwa → gNLΚΙq → ol9Χki → Ν60ηβK → ηΥrdC2 → εΘDΣO4 → αΕimR8 → Ρd3δsG → αΑEΡV8 → ΡΓUΑTG → ΑZVzwW → VTMΙΓΒ → mZVzwk → UN1ζΙΓ → εlXxk4 → αQ0ηΖ8 → ηΡeqF2 → εΒBΥU4 → αΙWyN8 → ΡlRΔkG → Αc0ηtW → ηUGΟΒ2 → εyWyX4 → αSQΕΔ8 → ΡeaurG → ΑKCΤΜW → ΗrTΒeQ → gYCΤxq → ΗP9ΧΗQ → ΝhfpoK → sA6αΧe → ΤΜDΣKE → ΖΔqeSR → ebBΥus → ΙJDΣΝO → ΕtjlcS → cH1ζΟu → εxHΞY4 → αwOΗZ8 → ΡiMΙnG → Αm4γjW → ΨU2εΒA → γΝWyJ6 → ΦtRΔcC → ΙcGΟtO → ykGΟlY → yQ0ηΖY → ηfPΖq2 → εgAΦp4 → αΛ8ΨL8 → ΡΟogHG → Αx7ΩYW → ΡUOΗΒG → ΑiWynW → US4γΔΓ → ΨbXxuA → ΝQIΝΖK → useqdc → IFBΥΡΟ → ΙΒvZUO → kXLΚym → oR1ζΕi → εd5βs4 → αΦEΡB8 → ΡΚΒTMG → ΑnXxiW → UQ4γΖΓ → ΨfXxqA → ΝQAΦΖK → ΛseqdM → oFBΥΡi → ΙΒ5βUO → ΦkWylC → ΙS0ηΔO → ηkaul2 → εK0ηΜ4 → ηαqe72 → εΣBΥE4 → αΙΓSN8 → ΡlZvkG → ΑM0ηΚW → ηnTΒi2 → εY4γx4 → αΨOΗ98 → ΡΞhnIG → Αv5βaW → ΦUKΛΒC → ΙqWyfO → kSAΦΔm → Λb1ζuM → εoIΝh4 → αu6αb8 → ΤΡIΝFE → ΕΒtbUS → cXHΞyu → wRHΞΕa → wdLΚsa → oMEΡΚi → Γn5βiU → ΦY4γxC → ΨΙOΗNA → ΝlhnkK → s60ηβe → ηΥDΣC2 → εΘΔRO4 → αjbtm8 → ΡI2εΞG → γΑuaV6 → ΦVJΜΑC → ΙsUΑdO → kWEΡzm → ΓT1ζΓU → εZXxw4 → αQMΙΖ8 → ΡmeqjG → ΑC2εΥW → γΘTΒO6 → ΦjXxmC → ΙQ2εΖO → γkeql6 → ΦC0ηΥC → ηΙΗON2 → εlhnk4 → α60ηβ8 → ηΥΠFC2 → εΘzVO4 → αjTΒm8 → ΡY2εxG → γΑOΗV6 → ΦiUΑnC → ΙW4γzO → ΨkSΓlA → Νa0ηvK → ηsKΛd2 → εqEΡf4 → αΓAΦT8 → ΡΛYwLG → ΑpNΘgW → kU8ΨΒm → ΟX1ζyI → εwQΕZ4 → αeMΙr8 → ΡmCΤjG → ΗΑ2εVQ → γgUΑp6 → ΦW8ΨzC → ΟΙSΓNI → wlZvka → NL0ηΛΚ → ηpljg2 → ε91ζΨ4 → εαΝI74 → αΣtbE8 → ΡΔHΞSG → ΑwauZW → UNJΜΙΓ → slXxke → QE0ηΣΗ → ηΔfpS2 → εb9Χu4 → αΝIΝJ8 → ΡuscbG → ΑJFΠΝW → ΑtTΒcW → YUGΟΒy → yXPΖyY → gRPΖΕq → gd9Χsq → ΝF9ΧΡK → ΝΒrdUK → sXDΣye → ΕRDΣΕS → ΕdbtsS → cIEΡΞu → ΓvHΞaU → wYKΛxa → qPLΚΗg → oh9Χoi → Ν75βαK → ΦΣrdEC → ΙΔDΣSO → ΕkaulS → cK0ηΜu → ηrHΞe2 → εwCΤZ4 → αΗMΙP8 → ΡmgojG → Α82εΩW → γΠTΒG6 → ΦzXxWC → ΙTPΖΓO → kgYwpm → O91ζΨΙ → εΞjlI4 → αv1ζa8 → εΡKΛF4 → αΒpfU8 → ΡX9ΧyG → ΝΑQΕVK → seUΑre → WECΤΣΑ → ΗΔTΒSQ → gbXxuq → QJ9ΧΝΗ → ΝtfpcK → sH9ΧΟe → ΝxDΣYK → ΕsOΗdS → icEΡto → ΓH5βΟU → ΦxXxYC → ΙQOΗΖO → kieqnm → C51ζγΦ → εΧΘNA4 → αΜjlK8 → Ρr1ζeG → εΑCΤV4 → αΗUΑP8 → ΡhVzoG → ΑU6αΒW → ΤXTΒyE → ΕYQΕxS → ecOΗts → iHDΣΟo → Εx5βYS → ΦcOΗtC → ΙiGΟnO → yk4γlY → ΨQ0ηΖA → ηΝeqJ2 → εtBΥc4 → αΙGΟN8 → ΡykkXG → ΑQθθΕW → Ζz3δWR → αeSΓr8 → ΡaCΤvG → ΗΑKΛVQ → qgUΑpg → WA8ΨΧΑ → ΟΜTΒKI → wrXxea → QMCΤΚΗ → ΗnfpiQ → gA4γΧq → ΨΜ9ΧKA → ΞΜqeKJ → urBΥec → ΙICΤΞO → ΗvjlaQ → gL1ζΛq → εp9Χg4 → αΝ8ΨJ8 → ΡΟscHG → ΑxFΠYW → ΑUOΗΒW → iXTΒyo → YR5βΕy → ΦdPΖsC → ΙgEΡpO → Γk8ΨlU → ΟY0ηxI → ηwOΗZ2 → εiMΙn4 → αm4γj8 → ΨΡ2εFA → γΝΑUJ6 → ΦtVzcC → ΙUGΟΒO → ykWylY → SQ0ηΖΕ → ηfbtq2 → εIAΦΞ4 → αΛuaL8 → ΡpJΜgG → Αs8ΨdW → ΟUEΡΒI → ΓwWyZU → YSMΙΔy → mbPΖuk → gJ1ζΝq → εt9Χc4 → αΝGΟJ8 → ΡyscXG → ΑRFΠΕW → ΑdTΒsW → YUEΡΒy → ΓXPΖyU → gYQΕxq → eP9ΧΗs → ΝhDΣoK → Εs6αdS → ΤcEΡtE → ΕΓGΟTS → ycYwtY → QOGΟΘΗ → yjfpmY → QA2εΧΗ → γΜfpK6 → Φr9ΧeC → ΝΙCΤNK → ΗskkdQ → gEθθΡq → ΣpPΖgF → Γg8ΨpU → ΟY8ΨxI → ΟwOΗZI → wiMΙna → mM4γΚk → Ψn1ζiA → εΝ4γJ4 → αΨsc98 → ΡΞFΠIG → ΒzuaWV → WTJΜΓΑ → sZTΒwe → YNDΣΙy → ΕlPΖkS → gc0ηtq → ηH9ΧΟ2 → εΝwYJ4 → αtNΘc8 → ΡkGΟlG → Αy0ηXW → ηUQΕΒ2 → εeWyr4 → αSCΤΔ8 → ΡΗauPG → ΑhJΜoW → sU6αΒe → ΤXDΣyE → ΖΔQΕSR → fdausr → KFBΥΡΝ → ΙΒrdUO → kXDΣym → ΕR1ζΕSεdbts4αIEΡΞ8ΡΓuaTGΑZJΜwWsUMΙΒemXDΣykΕR1ζΕS
743 max stepsE00000k → kDθθθΣm → ΤliθmkE → Σa1θζvF → ηΟgθoH2 → ζΞXθxI3 → εΜfθpK4 → δΙVθzN5 → γΕcθsR6 → βzRθΔW7 → αyWθyX8 → ΩsQθΕd9 → ΨxQθΕYA → ΧwVθzZB → ΦqPθΖfC → ΥvPθΖaD → ΤuUθΑbE → ΣoOθΗhF → ΡtOθΗcG → ΠsTθΒdH → ΟmNθΘjI → ΞrNθΘeJ → ΝqSθΓfK → ΜkMθΙlL → ΛpNθΘgM → ΚnQθΕiN → ΙjLθΚmO → ΛlOθΗkM → ΚmLθΚjN → ΛmPθΖjM → ΚlLθΚkN → ΛmOθΗjM → ΚmMθΙjN → ΚmOθΗjN → ΙlMθΙkO → ΚkNθΘlN → ΙmMθΙjO → ΚkOθΗlN → ΙlLθΚkO → ΛlNθΘkMΚnMθΙiNΚmPθΖjNΙkLθΚlOΛlNθΘkM