Base 134: Maximum Iteration Sequences: Full Cycle

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
Full Cycle
12 max steps100
238 max steps20 → 1Х → У3П7ЗFρVΙΒЙDυRΡtγjχPΦpΛzБLεhΟvλbοXΕΖХ1У3
369 max steps100 → 0ЦЦ → ХЦ1 → ФЦ2 → УЦ3 → ТЦ4 → СЦ5 → РЦ6 → ПЦ7 → ОЦ8 → НЦ9 → МЦA → ЛЦB → КЦC → ЙЦD → ИЦE → ЗЦF → ЖЦG → ЕЦH → ДЦI → ГЦJ → ВЦK → БЦL → АЦM → ωЦN → ψЦO → χЦP → φЦQ → υЦR → τЦS → σЦT → ςЦU → ρЦV → πЦW → οЦX → ξЦY → νЦZ → μЦa → λЦb → κЦc → ιЦd → θЦe → ηЦf → ζЦg → εЦh → δЦi → γЦj → βЦk → αЦl → ΩЦm → ΨЦn → ΧЦo → ΦЦp → ΥЦq → ΤЦr → ΣЦs → ΡЦt → ΠЦu → ΟЦv → ΞЦw → ΝЦx → ΜЦy → ΛЦz → ΚЦΑ → ΙЦΒ → ΘЦΓ → ΗЦΔ → ΖЦΕ → ΕЦΖΕЦΖ
440 max stepsH00o → oGЕΨ → οXξY → ΖΓΗΖ → 3ЦЦУ → У2У4 → СО76 → ЛЖFCωπVOαΘΒmc5РλЛvΞCωHДOνΩlaΑbκΛw9МΟГHДKνθdaΑrΣΛQ9МχГΥpKιTςeΝrΣyQDИχυΥpSΡTςuΝLАyεDИiυjβSΡfζuoLАΨεXξiΕjβΗg1ФηУnΧ4ПXξ8ЗΔΖGρ1ФWУΘΒ4П5Р8ЛЖFC
555 max stepsΕ0000 → ΔЦЦЦΗ → ΗΓЦΗΕ → Θ1ЦФΔ → ХΔЦΖ2 → ФΕЦΕ3 → УΓЦΗ4 → ТΔЦΖ5 → СΒЦΘ6 → РΓЦΗ7 → ПΑЦΙ8 → ОΒЦΘ9 → НzЦΚA → МΑЦΙB → ЛyЦΛC → КzЦΚD → ЙxЦΜE → ИyЦΛF → ЗwЦΝG → ЖxЦΜH → ЕvЦΞI → ДwЦΝJ → ГuЦΟK → ВvЦΞL → БtЦΠM → АuЦΟN → ωsЦΡO → ψtЦΠP → χrЦΣQ → φsЦΡR → υqЦΤS → τrЦΣT → σpЦΥU → ςqЦΤV → ρoЦΦW → πpЦΥX → οnЦΧY → ξoЦΦZ → νmЦΨa → μnЦΧb → λlЦΩc → κmЦΨd → ιkЦαe → θlЦΩf → ηjЦβg → ζkЦαh → εiЦγi → δjЦβj → γhЦδk → εgЦεi → ζjЦβh → εjЦβiδiЦγjδhЦδjεhЦδiεjЦβi
6765 max steps30007G → G72УПЗ → СИπVE6 → ЛτΘΒSC → ωΠ5РuO → ЛαKБlC → ωηcιfO → αuoΦΠm → cWKБπλ → ηΘvΞΓg → oI4СДΨ → НμXξaA → ГΕyΛΖK → ιC0ХКe → ХψrΣO2 → УΩPφm4 → ПΦaλp8 → ЗyUρΜG → ρΛCЙzW → χΙAЛΒQ → БΦ6ПpM → ЙεUρhE → υΛkαzS → ΡeAЛθu → БrLАΤM → ζδQυih → ΤmiγΩs → ibPφλε → ΦxjβΝq → gUEЗςη → σΜnΧyU → ΝYCЙξy → χΔDИΗQ → υΦ2УpS → СΡUρt6 → ЛΛMωzC → ωγAЛjO → БαgεlM → εmcιΩi → ukaλβΡ → yfLАηΝ → εpDИΦi → υkUρβS → ΡΛeηzu → qMAЛАΦ → БδTςiM → εΝiγxi → kiEЗδγ → σjfζγU → ΝogεΧy → mXDИοα → υΖbκΕS → Ρw0ХΞu → ХMGЕА2 → УογiX4 → ПΖhδΕ8 → Зk0ХβG → ХρeηV2 → УΚpΥΑ4 → ПU8Нς8 → ЗЕΛyHG → ρξBКYW → ωΙΓΗΒO → α73ТПm → ПИbκE8 → ЗτvΞSG → ρΠHДuW → νΙKБΒa → ηΑ6ПΚg → Йo8НΧE → ЕυWοRI → νΣΖΔsa → ΑP1ФχΛ → УΧ9Мo4 → ПГWοJ8 → ЗκΖΔcG → ρv1ФΟW → УΙIГΒ4 → Пλ6Пb8 → ЙЗwΝFE → υςFЖUS → ρΡΛytW → ΙNBКωΓ → ωβ5РkO → ЛαeηlC → ωqcιΥO → αuSσΠm → ΟcKБκw → ηvHДΟg → νoIГΧa → λΑWοΚc → Ηw8НΞΕ → ЕH1ФЕI → УξμZY4 → ПΔzΚΗ8 → ЗA2УМG → СВπVK6 → ЛθΘΒeC → ωr5РΤO → ЛαQυlC → ωΤcιrO → αuQυΠm → ΤcKБκs → ηvPφΟg → ΦoIГΧq → λXTςοc → ΝΖvΞΕy → IE0ХИЕ → ХτμZS2 → УΠzΚu4 → ПL9МБ8 → ЗГεgJG → ρκlΩcW → ΙvbκΟΓ → wJ5РГΟ → ЛκHДcC → ωνuΟZO → αΒJВΙm → ιc6Пκe → ЙvrΣΟE → υQIГφS → λΥΠtqc → wTLАσΟ → εΞHДwi → νkGЕβa → οΑeηΚY → Εq8НΥΗ → ЕT1ФσI → УνΝwZ4 → ПΒFЖΙ8 → Зρ6ПVG → ЙρΙΑVE → υΚ7ОΑS → ЗΡ8НtG → ЕρMωVI → νγΙΑja → Αh7ОεΛ → Зl9МαG → ГρcιVK → ιΚtΠΑe → sM8НАΤ → ЕδPφiI → νΦiγpa → ΑiUρδΛ → Λj9МγΑ → Гh9МεK → ГιkαdK → ιtdθΡe → trMωΤΣ → γRNψυk → αΣfζsm → ocOχκΨ → ΨvXξΟo → ΕYIГξΗ → λΔ1ФΗc → Уw2УΞ4 → СПGЕ76 → ЛИξXEC → ωτΔΖSO → αΠ1Фum → УcKБκ4 → ПηuΟf8 → ЗpJВΦG → ριUρdW → ΛΙsΡΒΑ → OA6ПМω → ЙВΩlKE → υθbκeS → ΡwqΤΞu → SMGЕАυ → οδΠtiY → ΕjLАγΗ → εh1Фεi → Уljβα4 → Пgcιζ8 → ЗumΨΠG → ρaKБμW → ηΙyΛΒg → oC6ПКΨ → ЙψXξOE → υΩΔΖmS → Ρb1Фλu → УxLАΝ4 → ПεEЗh8 → ЗσkαTG → ρΞdθwW → ΙsGЕΣΓ → οP5РχY → ЛΧΔΖoC → ωX1ФοO → УαΕΕl4 → ПcЦЦι8 → ОκVπc9 → ЕΙuΟΒI → νK6ПВa → ЙθzΚeE → υr9МΤS → ГΡQυtK → ιΤMωre → γsQυΣk → ΤgOχζs → ΨnPφΨo → ΦZXξνq → ΕΒTςΙΗ → Ν71ФПy → УИDИE4 → ПυσSR8 → ЗΣΞvsG → ρPHДχW → νΧΘΒoa → ΑX5РοΛ → ЛΖ9МΕC → Гω0ХNK → Хιαkd2 → УtdθΡ4 → ПsMωΣ8 → ЗγOχjG → ρΨgεnW → ΙmYνΩΓ → Γb5РλΙ → Лx5РΝC → ЛωEЗNC → ωσαkTO → αΞdθwm → scGЕκΤ → οvPφΟY → ΦΕIГΖq → λU0Хςc → ХΜvΞy2 → УICЙД4 → ПχλaP8 → ЗΧxΜoG → ρXDИοW → υΙΕΕΒS → Ρ6ЦЦПu → РΠlΩu7 → ЙcKБκE → υηuΟfS → ΡpJВΦu → ιVLАρe → εΚrΣΑi → kQ8Нφγ → ЕΥfζqI → νoSσΧa → ΟΑWοΚw → ΗI8НДΕ → Еμ1ФaI → УνyΛZ4 → ПΒBКΙ8 → Зω6ПNG → ЙραkVE → υΚdθΑS → Ρs8НΣu → ЕPLАχI → νεΦoha → ΑlVπαΛ → Ιd9МιΓ → Гt5РΡK → ЛιMωdC → ωγsΡjO → αhNψεm → αlbκαm → wdbκιΟ → wtHДΡΟ → νNHДωa → νβzΚka → Αf9МηΛ → Гp9МΦK → ГιUρdK → ιΛsΡze → sOAЛψΤ → БΩPφmM → εΦaλpi → ykUρβΝ → ΛfDИηΑ → υp9МΦS → ГΡUρtK → ιΛMωze → γsAЛΣk → БgOχζM → εΨmΨni → kaYνμγ → ΓzfζΛΙ → oB5РЛΨ → ЛАXξMC → ωδΔΖiO → αj1Фγm → Уhbκε4 → ПwkαΞ8 → ЗeGЕθG → ροqΤXW → ΙΖRτΕΓ → Ρ60ХРu → ХКLАC2 → УψδhO4 → ПΩjβm8 → ЗgaλζG → ρymΨΜW → ΙaCЙμΓ → χz5РΛQ → ЛΦAЛpC → БωUρNM → εβΚzki → kf9Мηγ → ГpfζΦK → ιoUρΧe → ΛsWοΣΑ → ΗP9МχΕ → ГΧ1ФoK → УιWοd4 → ПΗsΡΔ8 → ЗO2УψG → СρΨmV6 → ЛΚZμΑC → ωΑ8НΚO → Еα8НlI → ЕνcιZI → νΒtΠΙa → ΑM6ПАΛ → Йδ9МiE → ГυiγRK → ιΣhδse → skOχβΤ → ΨfPφηo → ΦpXξΦq → ΕVTςρΗ → ΝΚ1ФΑy → УE8НИ4 → ПЕσSH8 → ЗξΞvYG → ρΔHДΗW → νΙ2УΒa → СΑ6ПΚ6 → ЛЙ8НDC → ЕωυQNI → νβΣrka → ΑfPφηΛ → Φp9МΦq → ГVTςρK → ιΝΙΑxe → sF7ОЗΤ → ЗςPφUG → ρΦΛypW → ΙVBКρΓ → ωΚ5РΑO → Лα8НlC → ЕωcιNI → νβtΠka → ΑfLАηΛ → εp9МΦi → ГkUρβK → ιΛeηze → sqAЛΥΤ → БTPφσM → εΦΝwpi → kVFЖργ → ρΚfζΑW → Ιo8НΧΓ → ЕX5РοI → ЛνΕΕZC → ωΑЦЦΙO → ψΚdθΑP → Ψs8НΣo → ЕYOχξI → νΨΓΗna → ΑZ3ТνΛ → ПΒ9МΙ8 → ЗГ6ПJG → ЙριcVE → υΚtΠΑS → ΡM8НАu → ЕδLАiI → νεiγhaΑlhδαΛkd9МιγГtfζΡKιoMωΧeγsWοΣkΗgOχζΕΨn1ФΨoУZXξν4ПΕΑΙΖ8З80ХОGХЖπVG2УπΘΒW4ПΘ5РΓ8ЛЗ4СFCНωρUNAГβΚzkKιf9МηeГsoΦΣKιWOχπeΨΘrΣΓoYQ4СφοНΥΔΖqAГT1ФσKУιΝwd4ПtFЖΡ8ЗρMωVGργΙΑjWΙh7ОεΓЗl5РαGЛρcιVCωΚtΠΑOαM8НАmЕδbκiIνwiγΞaΑiGЕδΛοj9МγYГΕgεΖKιm0ХΩeХsaλΣ2УyOχΜ4ПΨCЙn8ЗχYνPGρΧΒΘoWΙX5РοΓЛΖ5РΕCЛω0ХNCХωαkN2Уβdθk4ПseηΣ8ЗqOχΥGρΨSσnWΟΙYνΒwΓI6ПДΙЙμ5РaEЛυyΛRCωΣBКsOωαOχlOαΨcιnmucYνκΡΓvLАΟΙεJ5РГiЛκjβcCωvfζΟOαoIГΧmλcWοκcΗwuΟΞΕKH1ФЕГУξθdY4ПΔrΣΗ8ЗQ2УφGСρΤqV6ЛΚRτΑCωΡ8НtOЕαMωlIνγcιjaΑugεΠΛmL9МБαГζbκgKιwmΨΞesaGЕμΤοzPφΛYΦΕAЛΖqБU0ХςMХεΛyh2УlBКα4ПωcιN8ЗβtΠkGρfLАηWεΙoΦΒikW6ПπγЙΘfζΓEυo4СΧSНΡWοtAГΗMωΔKιγ2УjeСsgεΣ6ЛmOχΩCωΨaλnOαyYνΜmΓcCЙκΙχv5РΟQЛΦIГpCωλUρbOαΛwΝzmcGAЛЖλБπvΞWMεΘHДΓiνk4СβaНΑeηΚAГq8НΥKЕιSσdIνΟsΡvaΑOIГψΛλΩ9МmcГwaλΞKιyGЕΜeοsCЙΣYχΕOχΖQΨΦ0ХpoХYUρξ2УΛΓΗz4ПB3ТЛ8ПЗωMF8ЗςβjUGρΜfζyWΙoCЙΧΓχX5РοQЛΦΕΕpCωUЦЦρOψς7ОUPЗΨΛynGρZBКνWωΙΑΙΒOα86ПОmЙЖbκGEυπvΞWSΡΘHДΓuνM4САaНδzΚiAГj9МγKГιgεdKιtlΩΡescMωκΤγvPφΟkΦgIГζqλnTςΨcΝwYνΞyΓHDИЕΙυξ5РYSЛΡΓΗtCωN3ТωOПβΩlk8ЗfbκηGρwoΦΞWΙWGЕπΓοΘ5РΓYЛΕ4СΖCНω0ХNAХГαkJ2Уκdθc4ПvrΣΟ8ЗQIГφGρλΤqbWΙxRτΝΓΡF5РЗuЛςLАUCωεΛyhOαlBКαmωdbκιOαwsΡΞmcOGЕψλοΩvΞmYΕbHДλΗνx1ФΝaУΑEЗΚ4Пσ8НT8ЗЕΝwHGρξFЖYWρΙΓΗΒWΙ73ТПΓПИ5РE8ЛЗσSFCωςΞvUOαΜHДymνcCЙκaχΑuΟΚQΦK8НВqЕθTςeIνΝqΤxaΑSEЗτΛσΠ9МuUГΝKБxKιηEЗfeσsoΦΣUΝWOχπyΨΘDИΓoυY4СξSНΡΓΗtAГN3ТωKПιαkd8ЗtdθΡGρsMωΣWγΙOχΒkΨg6ПζoЙnXξΨEυΕYνΖSΡΓ0ХΘuХM4СА2УНγi94ПДhδI8ЗμjβaGρzfζΛWΙoAЛΧΓБX5РοMЛεΕΕhCωkЦЦαOψβNψkPαΨeηnmqcYνκΦΓvTςΟΙΝJ5РГyЛκDИcCωυuΟROαΣJВsmιcOχκeΨvrΣΟoYQIГφολΥΔΖqcwT1ФσΟУΞHДw4ПνGЕZ8ЗοΑΙXGρΖ7ОΕWЗΙ0ХΒGХρ6ПV2УЙΙΑD4Пφ7ОQ8ИЖΤqGFσπRτWUΡΝΗΓxuMF3ТЗБПςδhU8ЗΜjβyGρgCЙζWχΙmΨΒQΦa6ПμqЙzTςΛEυΝAЛxSБΡEЗtMσεMωhUγΝkαxkgeEЗθησrnΧΤUΝYQυξyΤΔDИΗsυQ2УφSСΥΠtq6ЛTLАσCωεΝwhOαlFЖαmρdbκιWΙwsΡΞΓOH5РЕωЛξΩlYCωΔbκΗOαw2УΞmСcGЕκ6ЛοuΟXCωΖJВΕOια0ХleХscιΣ2УuOχΠ4ПΨKБn8ЗηYνfGρΓoΦΘWΙW4СπΓНΘ5РΓAЛГ4СJCНωιcNAГβtΠkKιfLАηeεsoΦΣikWOχπγΨΘfζΓooY4СξΨНΔXξΗAГΕ2УΖKСι0Хd6ХЛsΡB2УАNψM4ПδΩli8ЗjbκγGρwgεΞWΙmGЕΩΓοb5РλYЛΕwΝΖCωG0ХЖOХπΩlW2УΘbκΓ4Пw4СΞ8НЗGЕFAГςξXUKιΜΔΖyesD1ФЙΤУφPφQ4ПΦΤqp8ЗVRτρGρΡΙΑtWΙN7ОωΓЗβ5РkGЛρeηVCωΚpΥΑOαU8НςmЕΜbκyIνwCЙΞaχΑGЕΚQοΦ8НpYЕΕUρΖIνΛ0ХzaХΑAЛΚ2УБ8НL4ПЕεgH8ЗξlΩYGρΔbκΗWΙw2УΞΓСH5РЕ6МКνYCBБψΒΘOMεΩ5РmiЛkaλβCωyeηΜOαqCЙΥmχcSσκQΦΟuΟvqUKIГВσλθΜxecwrDИΤΟυRHДυSνΣΠtsaΑPLАχΛεΧ9МoiГkWοβKιΗeηΔesq2УΥΤСTPφσ6ЛΦΝwpCωVFЖρOραΙΑlWΙd7ОιΓЗt5РΡGЛρMωVCωγΙΑjOαh7ОεmЗlbκαGρwcιΞWΙuGЕΠΓοL5РБYЛζΔΖgCωn1ФΨOУαYνl4ПΓcιΘ8Зu4СΠGНρKБVAГηΙΑfKιp7ОΦeЗsUρΣGρΛOχzWΨΙAЛΒoБY6ПξMЙεΓΗhEυl3ТαSПΡcιt8ЗuMωΠGργKБjWηΙgεΒgom6ПΩΨЙbXξλEυΕwΝΖSΡG0ХЖuХπLАW2УεΗΓh4Пl3Тα8ПЗcιF8ЗςtΠUGρΜLАyWεΙCЙΒiχk6ПβQЙΦeηpEυqUρΥSΡΛSσzuΟMAЛАwБδHДiMνεiγha