Base 132: 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
220 max steps20 → 1У → С3Н7ЕFοVΗΒЛ9БJηdΡrΦnΕΔУ1С3
368 max steps100 → 0ФФ → УФ1 → ТФ2 → СФ3 → РФ4 → ПФ5 → ОФ6 → НФ7 → МФ8 → ЛФ9 → КФA → ЙФB → ИФC → ЗФD → ЖФE → ЕФF → ДФG → ГФH → ВФI → БФJ → АФK → ωФL → ψФM → χФN → φФO → υФP → τФQ → σФR → ςФS → ρФT → πФU → οФV → ξФW → νФX → μФY → λФZ → κФa → ιФb → θФc → ηФd → ζФe → εФf → δФg → γФh → βФi → αФj → ΩФk → ΨФl → ΧФm → ΦФn → ΥФo → ΤФp → ΣФq → ΡФr → ΠФs → ΟФt → ΞФu → ΝФv → ΜФw → ΛФx → ΚФy → ΙФz → ΘФΑ → ΗФΒ → ΖФΓ → ΕФΔ → ΔФΕΔФΕ
415 max steps400T → T3Рς → НΜv8 → ЕFДG → πνWV → ΙΔΔΑ → 7ФФН → Н6Н8 → ЗДFE → σξVS → ΟΖΒuK3РБНζd8ЕpΣGοRςWΟΖΒu
554 max steps10000 → 0ФФФФ → УФФФ1 → У0ФУ2 → ФРФ31 → УРФ32 → ТПФ43 → СНФ64 → РКФ95 → ПЖФD6 → ОБФI7 → НυФO8 → МξФV9 → ЛζФdA → КΦФmB → ЙΛФwC → ИzФΘD → ЗvФΜE → ЖyФΙF → ЕuФΝG → ДxФΚH → ГtФΞI → ВwФΛJ → БsФΟK → АvФΜL → ωrФΠM → ψuФΝN → χqФΡO → φtФΞP → υpФΣQ → τsФΟR → σoФΤS → ςrФΠT → ρnФΥU → πqФΡV → οmФΦW → ξpФΣX → νlФΧY → μoФΤZ → λkФΨa → κnФΥb → ιjФΩc → θmФΦd → ηiФαe → ζlФΧf → εhФβg → δkФΨh → γgФγi → δhФβh → γjФΩi → βgФγj → δgФγh → δjФΩh → γhФβiγhФβi
6742 max steps5000fv → vf4ПεΞ → ЛnHВΦA → БλWνZK → ηΕyΙΔe → qA0УКΤ → УАRςK2 → СζΞte4 → НpJАΤ8 → ЕηSρdG → οΝqΡvW → ΗQGГτΓ → νΣ3РqY → НΓQσΖ8 → ЕΡ2СrG → ПοOυV6 → ЙΦΗΑnC → χX5ОνO → ЙΨΓΕlC → χb1ТιO → СΨuΝl4 → НbHВι8 → ЕλuΝZG → οzHВΙW → λΗ8ЛΒa → Гy4ПΚI → ЛλAЙZA → БωyΙLK → ηδ9Кge → БqkΨΣK → ηcQσθe → ΡtpΣΟs → SOKωφσ → εΧΞtmg → mZJАλΨ → ηzZκΙe → yq8ЛΣΛ → ГRBИσI → χλΟsZO → ΨzLψΙm → γa8Лκi → ГxhβΛI → λiCЗβa → υygγΚQ → ΤkAЙΩq → ωdRςηM → γΟqΡti → iQKωτγ → εΣhβqg → miQσβΨ → ΡhZκγs → yjNφαΛ → ΨfBИεm → χnZκΦO → ΨyWνΚm → ΕaAЙκΕ → ωwФФΛM → ψΜbθwN → αuEЕΞk → ρeIБζU → ιΛoΤxc → uUCЗπΟ → υΚJАyQ → ηΤAЙpe → ωqSρΣM → γΝQσvi → ΡiGГβs → νhNφγY → ΨΓiαΖm → ga2Сκε → ПxlΧΛ6 → ЙaCЗκC → χυwΛPO → ΨΥDЖom → σaUοκS → ΟΙwΛzu → KE8ЛЖБ → ГςζdSI → λΞpΣua → ySIБςΛ → ιΞBИuc → χuIБΞO → ιΨIБlc → ιuaιΞc → wuIБΞΝ → ιJFДБc → οθtΞcW → ΗtJАΟΓ → ηL3Рωe → НδpΣg8 → ЕlRςΨG → οΟaιtW → ΗwKωΜΓ → εF3РЕg → НπlΧU8 → ЕΚZκyG → οyAЙΚW → ωΗAЙΒM → ωγ4ПhM → ЛγiαhA → БjfδαK → ηmeεΧe → qoYλΥΤ → ΑVRςοΙ → ΟΘ7МΑu → ЕK6НАG → ЗοεeVE → σΘnΥΑS → ΟW6Нξu → ЗΖJАΓE → ση2СdS → ПΟqΡt6 → ЙQKωτC → χεΡqfO → ΨnPτΦm → ΤaWνκq → ΕxRςΛΕ → ΟCФФЗu → ИΞfδuD → υmIБΧQ → ιΤYλpc → ΑuSρΞΙ → ΝJ7МБw → ЕθFДcG → πξsΟWV → ΙΖLψΓΑ → γ82СМi → ПДhβG6 → ЙξhβWC → χΖhβΓO → Ψi2Сβm → ПhZκγ6 → ЙyiαΚC → χgAЙδO → ωΨkΨlM → γcaιθi → wthβΟΝ → iLFДωγ → οδhβgW → ΗlhβΨΓ → ib3Рιγ → НvhβΝ8 → ЕiGГβG → ονgγXW → ΗΔjΩΕΓ → e40УРη → УМpΣ82 → СДRςG4 → НξΞtW8 → ЕΖJАΓG → οη2СdW → ПΗqΡΒ6 → ЙQ4ПτC → ЛχΡqNA → БΩPτkK → ηΤcηpe → sqSρΣΡ → ΝRNφσw → ΨΠFДsm → οaMχκW → αΗwΛΒk → eE4ПЖη → ЛςpΣSA → БΞRςuK → ηΟIБte → ιqKωΣc → εuQσΞg → ΡmIБΧs → ιZNφλc → ΨztΞΙm → aK8ЛАλ → ГζxΚeI → λpBИΤa → χySρΚO → ΨΝAЙvm → ωaGГκM → νγwΛhY → ΓjDЖαΗ → σf3РεS → НΟmΦt8 → ЕYKωμG → οεΑΗfW → Ηn5ОΦΓ → ЙX3РνC → НχΓΕN8 → ЕΩ1ТkG → СοcηV4 → НΘrΠΑ8 → ЕO6НφG → ЗοΦmVE → σΘXμΑS → ΟΓ6НΖu → ЗK2САE → ПσεeR6 → ЙΠnΥsC → χWMχξO → αΨΕΓlk → eb1Тιη → СvpΣΝ4 → НSGГς8 → ЕνΝuXG → οΔHВΕW → λΗ0УΒa → Уy4ПΚ2 → СЛAЙ94 → НВψLI8 → ЕκβhaG → οxhβΛW → ΗiCЗβΓ → υh3РγQ → НΤiαp8 → ЕgSρδG → οΝkΨvW → ΗcGГθΓ → νt3РΟY → НΓKωΖ8 → Еε2СfG → ПοmΦV6 → ЙΘXμΑC → χΓ6НΖO → ЗΨ2СlE → ПσaιR6 → ЙΠvΜsC → χNFДχO → οΩΧlkW → ΗdZκηΓ → yr3РΡΛ → НPBИυ8 → ЕχΤoNG → οΩTπkW → ΛΗcηΒy → sC4ПИΡ → ЛφNφOA → БΨΦmlK → ηbXμιe → ΓvpΣΝΗ → SH3РГσ → НμΞtY8 → ЕΒJАΗG → οη4ПdW → ЛΗqΡΒA → БQ4ПτK → ЛηΡqdA → БrPτΡK → ηΤOυpe → ΦqSρΣo → ΝWQσξw → ΡΖFДΓs → οO2СφW → ПΧΖΒm6 → ЙZ3РλC → НχyΙN8 → ЕΩ9КkG → БοcηVK → ηΘrΠΑe → qO6НφΤ → ЗΧRςmE → σΟYλtS → ΟΑKωΘu → εK6НАg → ЗζlΧeE → σpZκΤS → ΟySρΚu → ΝKAЙАw → ωζFДeM → ογoΤhW → ΗjTπαΓ → Λf3Рεy → НnBИΦ8 → ЕχWνNG → οΩΔΔkW → ΗcФФηΓ → θΖNφΓd → Ψs2СΠm → ПaMχκ6 → ЙαwΛjC → χfDЖεO → σΨmΦlS → ΟbXμιu → ΓvJАΝΗ → ηH3РГe → НμpΣY8 → ЕΒRςΗG → οΟ4ПtW → ЛΗKωΒA → Бε4ПfK → ЛηmΦdA → БrXμΡK → ηΓOυΖe → Φq2СΣo → ПWQσξ6 → ЙΡΕΓrC → χP1ТυO → СΨΤol4 → НbTπι8 → ЕΛuΝxG → οICЗВW → υκΖΒaQ → Τx3РΛq → НSCЗς8 → ЕυΝuPG → οΥHВoW → λΗUοΒa → Ιy4ПΚΑ → ЛB7МЙA → ЕБχMJG → οθΩjcW → ΗtdζΟΓ → qL3РωΤ → НδRςg8 → ЕΟkΨtG → οcKωθW → εΗsΟΒg → mM4ПψΨ → ЛβZκiA → БygγΚK → ηkAЙΩe → ωqcηΣM → γsQσΠi → ΡiMχβs → αhNφγk → Ψjdζαm → qfZκεΤ → ynRςΦΛ → ΟXBИνu → χΔJАΕO → ηΨ0Уle → УqaιΣ2 → СwQσΜ4 → НΡEЕr8 → ЕρOυTG → οΦΛwnW → ΗXDЖνΓ → σΔ3РΕS → НΟ0Уt8 → УЕKωF2 → СπδfU4 → НΚlΧy8 → ЕaAЙκG → ωοwΛVM → γΘDЖΑi → σi6НβS → ЗΟgγtE → σkKωΩS → εΟcηtg → smKωΧΡ → εZNφλg → ΨzlΧΙm → bZ8Лλκ → ГzvΜΙI → λG8ЛДa → ГξxΚWI → λΖBИΓa → χy2СΚO → ПΨAЙl6 → ЙωaιLC → χδvΜgO → ΨlFДΨm → οbZκιW → ΗyuΝΚΓ → IB3РЙГ → НψκZM8 → ЕβxΚiG → οhBИγW → χΗiαΒO → Ψg4Пδm → ЛlZκΨA → БyaιΚK → ηwAЙΜe → ωqEЕΣM → ργQσhU → ΡΛiαxs → gOCЗφε → υΧlΧmQ → ΤaYλκq → ΑxRςΛΙ → ΟD7МЗu → ЕτJАQG → οηΡqdW → ΗrPτΡΓ → ΤP3Рυq → НΥRςo8 → ЕΟUοtG → οΙKωzW → εΗ8ЛΒg → Гm4ПΧI → ЛλYλZA → БΑyΙΘK → ηA6НКe → ЗАpΣKE → σζRςeS → ΠΞoΤut → UMIБψρ → ιβΚxic → uhBИγΟ → χjJАαO → ηΨeεle → qoaιΥΤ → wVRςοΝ → ΟΘFДΑu → οK6НАW → ЗζΖΒeE → σp3РΤS → НΟSρt8 → ЕΝKωvG → οεGГfW → νΗmΦΒY → ΓY4ПμΗ → ЛΒ3РΗA → НБ4ПJ8 → ЛЕηcFA → БπrΠUK → ηΚNφye → ΨqAЙΣm → ωaQσκM → γΡwΛri → iPDЖυγ → σΥhβoS → ΟiUοβu → ΙhJАγΑ → ηj7Мαe → ЕqeεΣG → οoQσΥW → ΡΗUοΒs → ΙO4ПφΑ → ЛΧ7МmA → ЕБYλJG → οθzΘcW → Ηt7МΟΓ → ЕL3РωG → НογgV8 → ЕΘjΩΑG → οe6НζW → ЗΗoΤΒE → σU4ПπS → ЛΟΙytA → БL9КωK → БηγgdK → ηrjΩΡe → qeOυζΤ → ΦpRςΤo → ΟWSρξu → ΝΖJАΓw → ηG2СДe → ПξpΣW6 → ЙΖRςΓC → χΟ2СtO → ПΨKωl6 → ЙεaιfC → χwmΦΜO → ΨYEЕμm → ρΒZκΗU → Λy4ПΚy → ЛCAЙИA → БωυOLK → ηδΥnge → qlVξΨΤ → ΗbRςιΓ → Οv3РΝu → НKGГА8 → ЕνεeXG → οΔnΥΕW → ΗW0УξΓ → УΖ3РΓ2 → СН2С74 → ПНЕE76 → ЙЖπTEC → χςΚxSO → ΨΞBИum → χaIБκO → ιΨwΛlc → ubDЖιΟ → σvJАΝS → ηΟGГte → νqKωΣY → εΓQσΖg → Ρm2СΧs → ПZNφλ6 → ЙΨyΙlC → χb9КιO → БΨuΝlK → ηbHВιe → λvpΣΝa → ySGГςΛ → νΞBИuY → χΓIБΖO → ιΨ2Сlc → ПuaιΞ6 → ЙwIБΜC → χιEЕbO → ρΨuΝlU → ΛbHВιy → λvBИΝa → χyGГΚO → νΨAЙlY → ωΓaιΖM → γw2СΜi → ПiEЕβ6 → ЙρgγTC → χΜjΩwO → ΨeEЕζm → ρpZκΤU → ΛySρΚy → ΝCAЙИw → ωφFДOM → ογΦmhW → ΗjXμαΓ → Γf3РεΗ → Нn3РΦ8 → НЕWνF8 → ЕπΔΔUG → οΙФФyW → ξΚTπyX → ΛΕAЙΔy → ωC0УИM → УφβhO2 → СΧhβm4 → НiYλβ8 → ЕΑgγΘG → οk6НΩW → ЗΗcηΒE → σs4ПΠS → ЛΟMχtA → БαKωjK → ηεeεfe → qomΦΥΤ → YVRςον → ΟΘΒΖΑu → K73РНБ → НЖζdE8 → ЕςpΣSG → οΞRςuW → ΟΗIБΒu → ιK4ПАc → ЛζtΞeA → БpJАΤK → θζSρed → ΝsoΤΠw → UNFДχρ → οΩΚxkW → ΗdBИηΓ → χr3РΡO → НΨOυl8 → ЕΦaιnG → οwWνΜW → ΗΕEЕΔΓ → ρ40УРU → УМΚx82 → СДBИG4 → НχνWN8 → ЕΩΔΔkGοcФФηWξθ7МcXЕΕsΟΔGοM0УψWУβΖΒi2Сh3Рγ4ОМiα87ЗДfδGEσξlΧWSΟΖZκΓuyK2САΛПζBИe6ЙχoΤNCχΩTπkOΨΛcηxmsaCЗκΡυxNφΛQΨΤCЗpmυaSρκQΤΝwΛvqSHDЖГσσμΞtYSΟΒJАΗuηK4ПАeЛζpΣeAБpRςΤKηΟSρteΝqKωΣwεRFДσgοΠlΧsWΗaMχκΓαx3РΛkНeCЗζ8ЕυoΤPGοΥTπoWΛΗUοΒyΙC4ПИΑЛφ7МOAЕБΦmJGοθXμcWΗΓsΟΖΓM42СРωПМβh86ЙДhβGCχξhβWOΨΖhβΓmia2СκγПxhβΛ6ЙiCЗβCχυgγPOΨΥjΩomeaUοκηΙxpΣΛΑSD7МЗσЕτΞtQGοΣJАqWηΗQσΒeΡq4ПΣsЛRNφσAБΨΟslKηbLψιeγvpΣΝiiSGГςγνΞhβuYΓiIБβΗιh3РγcНuiαΞ8ЕgIБδGοιkΨbWΗvbθΝΓuH3РГΟНμJАY8ЕηΑΗdGοr5ОΡWЙΗOυΒCχΦ4ПnOЛΨWνlAБΕaιΔKηw0УΜeУqEЕΣ2СρQσT4НΡΛwr8ЕPDЖυGσοΤoVSΟΘTπΑuΛK6НАyЗζBИeEχσoΤROΨΠTπsmΛaMχκyαxBИΛkχeCЗζOυΨoΤlQΤbTπιqΛvRςΝyΟHBИГuχμJАYOηΨΑΗleqb5ОιΤЙvRςΝCχΟGГtOνΨKωlYεΓaιΖgwm2СΧΝПZFДλ6ЙοyΙVCχΘ9КΑOБΨ6НlKЗηaιdEσwqΡΜSΟQEЕτuρΣJАqUηΛQσxeΡqCЗΣsυRNφσQΨΤΟspmaTLψρλγΜxΚwiiFBИЕγχπhβUOΨΚhβymiaAЙκγωxhβΛMγiCЗβiυigγβQΤkgγΩqkdRςηαΟrdζΡuqPJАυΤηΥRςoeΟqUοΣuΙRJАσΑηΠ7МseЕqMχΣGοαQσjWΡΗeεΒsoO4ПφΦЛΧVξmAБΗYλΒKηΑ4ПΘeЛq6НΣAЗБQσJEσθΠrcSΟtNφΟuΨLJАωmηδZκgeyqkΨΣΛcRBИσιχΠtΞsOΨNJАχmηΩZκkeyqcηΣΛsRBИσΡχΠNφsOΩΧMχmlαcYλθkΑtdζΟΙqL7МωΤЕδRςgGοΟkΨtWΗcKωθΓεt3РΟgНmKωΧ8ЕεYλfGοΑmΦΘWΗY6НμΓЗΒ3РΗEНσ4ПR8ЛЕΟsFAБπLψUKηγΙyheqj9КαΤБfRςεKηΟmΦteqYKωμΤεΒRςΗgΟm4ПΧuЛZJАλAБηyΙdKηr9КΡeБqOυΣKηΦQσneΡqWνΣsΕRNφσΕΨΟФФsmΧΠ7МsnЕYMχμGοαΑΗjWΗf5ОεΓЙn3РΦCНχWνN8ЕΩΔΔkG