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 steps1 → 0 → 0
238 max steps20 → 1Х → У3 → П7 → ЗF → ρV → ΙΒ → 6Р → ЙD → υR → Ρt → MА → γj → gζ → mΩ → aμ → yΜ → CК → χP → Φp → Uς → Λz → AМ → БL → εh → kβ → eθ → qΥ → Sτ → Οv → IД → λb → wΞ → GЖ → οX → ΕΖ → 0Ц → Х1 → У3
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 → ΕЦΖ → ΕЦΖ
440 max stepsH00o → oGЕΨ → οXξY → ΖΓΗΖ → 3ЦЦУ → У2У4 → СО76 → ЛЖFC → ωπVO → αΘΒm → c5Рλ → ЛvΞC → ωHДO → νΩla → ΑbκΛ → w9МΟ → ГHДK → νθda → ΑrΣΛ → Q9Мχ → ГΥpK → ιTςe → ΝrΣy → QDИχ → υΥpS → ΡTςu → ΝLАy → εDИi → υjβS → Ρfζu → oLАΨ → εXξi → ΕjβΗ → g1Фη → УnΧ4 → ПXξ8 → ЗΔΖG → ρ1ФW → УΘΒ4 → П5Р8 → ЛЖFC
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 → εjЦβi → δiЦγj → δhЦδj → εhЦδi → εjЦβi
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 → νεiγha → ΑlhδαΛ → kd9Мιγ → ГtfζΡK → ιoMωΧe → γsWοΣk → ΗgOχζΕ → Ψn1ФΨo → УZXξν4 → ПΕΑΙΖ8 → З80ХОG → ХЖπVG2 → УπΘΒW4 → ПΘ5РΓ8 → ЛЗ4СFC → НωρUNA → ГβΚzkK → ιf9Мηe → ГsoΦΣK → ιWOχπe → ΨΘrΣΓo → YQ4Сφο → НΥΔΖqA → ГT1ФσK → УιΝwd4 → ПtFЖΡ8 → ЗρMωVG → ργΙΑjW → Ιh7ОεΓ → Зl5РαG → ЛρcιVC → ωΚtΠΑO → αM8НАm → ЕδbκiI → νwiγΞa → ΑiGЕδΛ → οj9МγY → ГΕgεΖK → ιm0ХΩe → ХsaλΣ2 → УyOχΜ4 → ПΨCЙn8 → ЗχYνPG → ρΧΒΘoW → ΙX5РοΓ → ЛΖ5РΕC → Лω0ХNC → ХωαkN2 → Уβdθk4 → ПseηΣ8 → ЗqOχΥG → ρΨSσnW → ΟΙYνΒw → ΓI6ПДΙ → Йμ5РaE → ЛυyΛRC → ωΣBКsO → ωαOχlO → αΨcιnm → ucYνκΡ → ΓvLАΟΙ → εJ5РГi → ЛκjβcC → ωvfζΟO → αoIГΧm → λcWοκc → ΗwuΟΞΕ → KH1ФЕГ → УξθdY4 → ПΔrΣΗ8 → ЗQ2УφG → СρΤqV6 → ЛΚRτΑC → ωΡ8НtO → ЕαMωlI → νγcιja → ΑugεΠΛ → mL9МБα → ГζbκgK → ιwmΨΞe → saGЕμΤ → οzPφΛY → ΦΕAЛΖq → БU0ХςM → ХεΛyh2 → УlBКα4 → ПωcιN8 → ЗβtΠkG → ρfLАηW → εΙoΦΒi → kW6Пπγ → ЙΘfζΓE → υo4СΧS → НΡWοtA → ГΗMωΔK → ιγ2Уje → СsgεΣ6 → ЛmOχΩC → ωΨaλnO → αyYνΜm → ΓcCЙκΙ → χv5РΟQ → ЛΦIГpC → ωλUρbO → αΛwΝzm → cGAЛЖλ → БπvΞWM → εΘHДΓi → νk4Сβa → НΑeηΚA → Гq8НΥK → ЕιSσdI → νΟsΡva → ΑOIГψΛ → λΩ9Мmc → ГwaλΞK → ιyGЕΜe → οsCЙΣY → χΕOχΖQ → ΨΦ0Хpo → ХYUρξ2 → УΛΓΗz4 → ПB3ТЛ8 → ПЗωMF8 → ЗςβjUG → ρΜfζyW → ΙoCЙΧΓ → χX5РοQ → ЛΦΕΕpC → ωUЦЦρO → ψς7ОUP → ЗΨΛynG → ρZBКνW → ωΙΑΙΒO → α86ПОm → ЙЖbκGE → υπvΞWS → ΡΘHДΓu → νM4САa → НδzΚiA → Гj9МγK → ГιgεdK → ιtlΩΡe → scMωκΤ → γvPφΟk → ΦgIГζq → λnTςΨc → ΝwYνΞy → ΓHDИЕΙ → υξ5РYS → ЛΡΓΗtC → ωN3ТωO → ПβΩlk8 → ЗfbκηG → ρwoΦΞW → ΙWGЕπΓ → οΘ5РΓY → ЛΕ4СΖC → Нω0ХNA → ХГαkJ2 → Уκdθc4 → ПvrΣΟ8 → ЗQIГφG → ρλΤqbW → ΙxRτΝΓ → ΡF5РЗu → ЛςLАUC → ωεΛyhO → αlBКαm → ωdbκιO → αwsΡΞm → cOGЕψλ → οΩvΞmY → ΕbHДλΗ → νx1ФΝa → УΑEЗΚ4 → Пσ8НT8 → ЗЕΝwHG → ρξFЖYW → ρΙΓΗΒW → Ι73ТПΓ → ПИ5РE8 → ЛЗσSFC → ωςΞvUO → αΜHДym → νcCЙκa → χΑuΟΚQ → ΦK8НВq → ЕθTςeI → νΝqΤxa → ΑSEЗτΛ → σΠ9МuU → ГΝKБxK → ιηEЗfe → σsoΦΣU → ΝWOχπy → ΨΘDИΓo → υY4СξS → НΡΓΗtA → ГN3ТωK → Пιαkd8 → ЗtdθΡG → ρsMωΣW → γΙOχΒk → Ψg6Пζo → ЙnXξΨE → υΕYνΖS → ΡΓ0ХΘu → ХM4СА2 → УНγi94 → ПДhδI8 → ЗμjβaG → ρzfζΛW → ΙoAЛΧΓ → БX5РοM → ЛεΕΕhC → ωkЦЦαO → ψβNψkP → αΨeηnm → qcYνκΦ → ΓvTςΟΙ → ΝJ5РГy → ЛκDИcC → ωυuΟRO → αΣJВsm → ιcOχκe → ΨvrΣΟo → YQIГφο → λΥΔΖqc → wT1ФσΟ → УΞHДw4 → ПνGЕZ8 → ЗοΑΙXG → ρΖ7ОΕW → ЗΙ0ХΒG → Хρ6ПV2 → УЙΙΑD4 → Пφ7ОQ8 → ИЖΤqGF → σπRτWU → ΡΝΗΓxu → MF3ТЗБ → ПςδhU8 → ЗΜjβyG → ρgCЙζW → χΙmΨΒQ → Φa6Пμq → ЙzTςΛE → υΝAЛxS → БΡEЗtM → σεMωhU → γΝkαxk → geEЗθη → σrnΧΤU → ΝYQυξy → ΤΔDИΗs → υQ2УφS → СΥΠtq6 → ЛTLАσC → ωεΝwhO → αlFЖαm → ρdbκιW → ΙwsΡΞΓ → OH5РЕω → ЛξΩlYC → ωΔbκΗO → αw2УΞm → СcGЕκ6 → ЛοuΟXC → ωΖJВΕO → ια0Хle → ХscιΣ2 → УuOχΠ4 → ПΨKБn8 → ЗηYνfG → ρΓoΦΘW → ΙW4СπΓ → НΘ5РΓA → ЛГ4СJC → НωιcNA → ГβtΠkK → ιfLАηe → εsoΦΣi → kWOχπγ → ΨΘfζΓo → oY4СξΨ → НΔXξΗA → ГΕ2УΖK → Сι0Хd6 → ХЛsΡB2 → УАNψM4 → ПδΩli8 → ЗjbκγG → ρwgεΞW → ΙmGЕΩΓ → οb5РλY → ЛΕwΝΖC → ωG0ХЖO → ХπΩlW2 → УΘbκΓ4 → Пw4СΞ8 → НЗGЕFA → ГςξXUK → ιΜΔΖye → sD1ФЙΤ → УφPφQ4 → ПΦΤqp8 → ЗVRτρG → ρΡΙΑtW → ΙN7ОωΓ → Зβ5РkG → ЛρeηVC → ωΚpΥΑO → αU8Нςm → ЕΜbκyI → νwCЙΞa → χΑGЕΚQ → οΦ8НpY → ЕΕUρΖI → νΛ0Хza → ХΑAЛΚ2 → УБ8НL4 → ПЕεgH8 → ЗξlΩYG → ρΔbκΗW → Ιw2УΞΓ → СH5РЕ6 → МКνYCB → БψΒΘOM → εΩ5Рmi → ЛkaλβC → ωyeηΜO → αqCЙΥm → χcSσκQ → ΦΟuΟvq → UKIГВσ → λθΜxec → wrDИΤΟ → υRHДυS → νΣΠtsa → ΑPLАχΛ → εΧ9Мoi → ГkWοβK → ιΗeηΔe → sq2УΥΤ → СTPφσ6 → ЛΦΝwpC → ωVFЖρO → ραΙΑlW → Ιd7ОιΓ → Зt5РΡG → ЛρMωVC → ωγΙΑjO → αh7Оεm → ЗlbκαG → ρwcιΞW → ΙuGЕΠΓ → οL5РБY → ЛζΔΖgC → ωn1ФΨO → УαYνl4 → ПΓcιΘ8 → Зu4СΠG → НρKБVA → ГηΙΑfK → ιp7ОΦe → ЗsUρΣG → ρΛOχzW → ΨΙAЛΒo → БY6ПξM → ЙεΓΗhE → υl3ТαS → ПΡcιt8 → ЗuMωΠG → ργKБjW → ηΙgεΒg → om6ПΩΨ → ЙbXξλE → υΕwΝΖS → ΡG0ХЖu → ХπLАW2 → УεΗΓh4 → Пl3Тα8 → ПЗcιF8 → ЗςtΠUG → ρΜLАyW → εΙCЙΒi → χk6ПβQ → ЙΦeηpE → υqUρΥS → ΡΛSσzu → ΟMAЛАw → БδHДiM → νεiγha