Base 130: 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
267 max steps20 → 1С → П3Л7ГFνVΕΒН5ЗBυNΦlБHιZσPΡpΟrΨjΤnΗzЕDρRΝtηbγfλXΑΖЙ9ωJεdΛvοTΙxχLαhΓΔС1П3
367 max steps100 → 0ТТ → СТ1 → РТ2 → ПТ3 → ОТ4 → НТ5 → МТ6 → ЛТ7 → КТ8 → ЙТ9 → ИТA → ЗТB → ЖТC → ЕТD → ДТE → ГТF → ВТG → БТH → АТI → ωТJ → ψТK → χТL → φТM → υТN → τТO → σТP → ςТQ → ρТR → πТS → οТT → ξТU → νТV → μТW → λТX → κТY → ιТZ → θТa → ηТb → ζТc → εТd → δТe → γТf → βТg → αТh → ΩТi → ΨТj → ΧТk → ΦТl → ΥТm → ΤТn → ΣТo → ΡТp → ΠТq → ΟТr → ΞТs → ΝТt → ΜТu → ΛТv → ΚТw → ΙТx → ΘТy → ΗТz → ΖТΑ → ΕТΒ → ΔТΓ → ΓТΔΓТΔ
413 max stepsG00n → nFВΥ → νVμW → ΖΓΓΒ → 3ТТП → П2П4 → НК76 → ЗВFCυμVOΦΔΒmY1РλПzΖ4Л5М8ЗВFC
553 max steps1000I → I0ТСБ → ТψТJ1 → СψТJ2 → РχТK3 → ПυТM4 → ОςТP5 → НξТT6 → МιТY7 → ЛγТe8 → КΥТl9 → ЙΜТtA → ИΓТΓB → ЗsТΝC → ЖΒТΔD → ЕrТΞE → ДΑТΕF → ГqТΟG → ВzТΖH → БpТΠI → АyТΗJ → ωoТΡK → ψxТΘL → χnТΣM → φwТΙN → υmТΤO → τvТΚP → σlТΥQ → ςuТΛR → ρkТΦS → πtТΜT → οjТΧU → ξsТΝV → νiТΨW → μrТΞX → λhТΩY → κqТΟZ → ιgТαa → θpТΠb → ηfТβc → ζoТΡd → εeТγe → δnТΣf → γdТδg → εkТΦe → δhТΩf → γjТΧg → βgТαh → βhТΩh → αhТΩi → αfТβiγgТαgβjТΧhαfТβi
6670 max stepsD000Γζ → ζΓCЕΔd → σq0СΠQ → СΡOσp2 → ПΤQρn4 → ЛΟUνr8 → ГΗMυzG → νΨ6ЛjW → ЕΕcεΒE → ρq2ПΠS → НΝOσt6 → ЗΤIωnC → υηUνbO → ΦΗsΝzm → YK6Лψλ → ЕδzΖeE → ρn5МΤS → ЗΝUνtC → υΗIωzO → ηΦ6Лlc → ЕsYιΞE → ρyKχΘS → γΝ8Йtg → БkIωΧI → ιηaηba → wusΝΜΛ → KHDДБω → ρκδdYS → ΝznΣΗu → UI6ЛАο → ЕθΘxaE → ρv9ИΛS → ωΝEГtK → οεIωdU → ηΙoΡxc → sSAЗπΟ → χΜLφuM → βΩGБih → λieγΩY → ΑmeγΥΗ → mX5МλΦ → ЗΒXκΕC → υΑ2ПΖO → НΦ4Нl6 → ЙЗYιBA → ωφxΘMK → εΩ9Иie → ωoeγΣK → εmSοΥe → ΛoWλΣw → ΓTDДοΕ → ρΚ1РwS → ПΝCЕt4 → ЛσIωP8 → ГηΡobG → νtRπΝW → ΝΕIωΒu → ηI2ПАc → НθrΞa6 → ЗvLφΛC → υαEГhO → οΦgαlU → ΙiYιΩy → yf9ИγΙ → ωl9ИΦK → ωεYιdK → εyoΡΘe → oS8ЙπΤ → БΜTξuI → ιΙGБxa → λwAЗΚY → χΑCЕΖM → σα4НhQ → ЙΡgαpA → ωiQρΩK → εΟeγre → omMυΥΤ → ΨXTξλk → ΙΒbζΕy → sA2ПИΟ → НψLφK6 → ЗδΩheC → υnfβΤO → ΦkUνΧm → ΗbXκηΑ → Αt5МΝΗ → ЗJ5МωC → ЗυεcNC → υΧpΠkO → ΦbPςηm → ΡtXκΝq → ΑQIωςΗ → ηΠ5Мqc → ЗsOσΞC → υΤKχnO → γΦUνlg → ΗkYιΧΑ → yb5МηΙ → Зt9ИΝC → ωυIωNK → ηεΦkdc → spZθΡΟ → wRLφρΛ → αΞDДsi → ρgKχβS → γΝiΨtg → keIωδΨ → ηnbζΤc → trUνΟΞ → ΗNJψυΑ → εΧ5Мke → ЗoaηΣC → υuSοΜO → ΦΛGБvm → λYEГκY → οΑyΗΖU → Ι84НКy → ЙВ9ИGA → АψλWKJ → ηδΒΔec → sn1РΤΟ → ПVLφν4 → ЛαΕΑh8 → Гh3ОαG → ЛνgαV8 → ГΖhΩΑG → νg4НβW → ЙΕiΨΒA → ωe2ПδK → НεmΤd6 → ЗpVμΡC → υΕQρΒO → ΦΟ2Пrm → НYMυκ6 → ЗΨyΗjC → υd7КεO → ГΦoΡlG → νZRπιW → ΝΕwΙΒu → IC2ПЖБ → НτθZO6 → ЗΥvΚmC → υXDДλO → ρΦΑΕlS → ΝZ3Оιu → ЛxHАΙ8 → ГιAЗZG → χνwΙVM → αΖBЖΑi → υg4НβO → ЙΦiΨlA → ωeYιδK → εymΤΘe → oW8ЙμΤ → БΔTξΓI → ιΙ0Сxa → СwAЗΚ2 → ПχCЕL4 → ЛσαgP8 → ГΣhΩoG → νgSοβW → ΛΕiΨΒw → eE2ПДε → НπnΣS6 → ЗΜTξuC → υΙGБxO → λΦAЗlY → χΑYιΖM → αy4НΘi → Йg8ЙβA → БωiΨJI → ιζdδca → wrnΣΟΛ → UNDДυο → ρΧΘxkS → Νb9Иηu → ωtHАΝK → ιεIωda → ηwoΡΚc → sSCЕπΟ → σΜLφuQ → αΡGБpi → λgQρβY → ΟΑiΨΖs → eM4Нφε → ЙΩnΣiA → ωfTξγK → εΙkΦxe → oaAЗθΤ → χvTξΛM → αΙEГxi → οgAЗβU → χΙiΨxM → αeAЗδi → χnfβΤM → αkUνΧi → ΗgaηβΑ → uj5МΨΝ → ЗdHАεC → υιoΡZO → ΦxRπΙm → ΝYAЗκu → χzHАΗM → ια6Лha → ЕwgαΚE → ρiCЕΩS → σΝeγtQ → ΡmIωΥq → ηXPςλc → ΡΒrΞΕq → QM2Пφσ → НΩΠpi6 → ЗfPςγC → υΡkΦpO → ΦaQρθm → ΟvXκΛs → ΑMEГφΗ → οΩ5МiU → ЗΙeγxC → υmAЗΥO → χΦWλlM → αΓYιΔi → yg0СβΙ → Сj9ИΨ2 → ПωcεJ4 → ЛζpΠc8 → ГrPςΟG → νΡMυpW → ΨΕQρΒk → Οc2Пζs → НrLφΟ6 → ЗαMυhC → υΨgαjO → ΦicεΩm → qfXκγΡ → ΑlPςΦΗ → ΡZ5Мιq → ЗxPςΙC → υΡAЗpO → χΦQρlM → αΟYιri → ygMυβΙ → Ψj9ИΨk → ωdbζεK → εsoΡΞe → oSKχπΤ → γΜTξug → ΙkGБΧy → λb9ИηY → ωΑsΝΖK → εK4Нψe → ЙδnΣeA → ωnTξΤK → εΙUνxe → ΗoAЗΣΑ → χT5МοM → ЗαΙwhC → υhBЖαO → υΦgαlO → ΦiYιΩm → yfXκγΙ → Αl9ИΦΗ → ωZ5МιK → ЗεwΙdC → υpBЖΡO → υΦQρlO → ΦΟYιrm → yYMυκΙ → Ψz9ИΗk → ωc6ЛζK → ЕεqΟdE → ρpNτΡS → ΦΝQρtm → ΟYIωκs → ηzLφΗc → αs6ЛΞi → ЕgKχβE → ργiΨfS → ΝldδΦu → oZHАιΤ → ιxTξΙa → ΙwAЗΚy → χD9ИЕM → ωςΩhQK → εΠfβqe → okOσΧΤ → ΤbTξηo → ΙtTξΝy → ΙJ9Иωy → ωζ9ИcK → ωεqΟdK → εpNτΡe → ΦoQρΣm → ΟYSοκs → ΛzLφΗw → αE6ЛДi → ЕπfβSE → ρΜjΧuS → ΝcGБζu → λrHАΟY → ιΑMυΖa → Ψw4НΚk → ЙcCЕζA → ωσqΟPK → εΣNτoe → ΦoSοΣm → ΛYSοκw → ΛzDДΗw → ρE6ЛДS → ЕπΜtSE → ρΜHАuS → ιΝGБta → λwIωΚY → ηΑCЕΖc → σs4НΞQ → ЙΡKχpA → ωγQρfK → εΟkΦre → oaMυθΤ → ΨvTξΛk → ΙcEГζy → οr9ИΟU → ωΙMυxK → εΨAЗje → χocεΣM → αqSοΠi → ΛgOσβw → ΤjDДΨo → ρdTξεS → ΝΙoΡxu → SIAЗАρ → χθΜtaM → αvHАΛi → ιgEГβa → οwiΨΚU → ΙeCЕδy → σn9ИΤQ → ωΡUνpK → εΗQρze → Οo6ЛΣs → ЕTLφοE → ραΙwhS → ΝhBЖαu → υhHАαO → ιΦgαla → wiYιΩΛ → yfDДγΙ → ρl9ИΦS → ωΝYιtK → εyIωΘe → ηo8ЙΣc → БsSοΞI → ιΛKχva → γwEГΚg → οkCЕΧU → σΙaηxQ → ΡuAЗΜq → χQGБςM → λαΟqhY → ΑhNταΗ → Φh5Мαm → ЗhXκαC → υΑgαΖO → Φi4НΩm → ЙfXκγA → ωΑkΦΖK → εa4Нθe → ЙvnΣΛA → ωUEГξK → οεΗydU → Ιp7КΡy → ГR9ИρG → ωνΝsVK → εΖJψΑe → εo4НΣe → ЙoSοΣA → ωΛSοvK → εΛEГve → οoEГΣU → οΙSοxU → ΛΙAЗxw → χEAЗДM → χπΩhSM → αΜfβui → kgGБβΨ → λjbζΨY → ΑscεΞΗ → qL5МχΡ → ЗβPςgC → υΡiΨpO → ΦeQρδm → ΟnXκΤs → ΑVLφνΗ → αΖ5МΑi → Зg4НβC → ЙυiΨNA → ωΧdδkK → εoaηΣe → uoSοΣΝ → ΛTHАοw → ιΚDДwa → ρwCЕΚS → σΝCЕtQ → σΡIωpQ → ηΡQρpc → ΟsQρΞs → ΟMKχφs → γΩLφig → αkeγΧi → mgaηβΦ → ujXκΨΝ → ΑdHАεΗ → ιp5МΡa → ЗwQρΚC → υΟCЕrO → σΦMυlQ → ΨΡYιpk → ycQρζΙ → Οr9ИΟs → ωNLφυK → εαΦkhe → ohZθαΤ → whTξαΛ → ΙhDДαy → ρh9ИαS → ωΝgαtK → εiIωΩe → ηoeγΣc → smSοΥΟ → ΛXLφλw → αΒDДΕi → ρg2ПβS → НΝiΨt6 → ЗeIωδC → υηmΤbO → ΦtVμΝm → ΕYIωκΓ → ηz1РΗc → Пs6ЛΞ4 → ЛЕKχD8 → ГςβfQG → νΠjΧqW → ΕcOσζΓ → Τr1РΟo → ПUMυξ4 → ЛΨΗyj8 → Гd7КεG → ГνoΡVG → νΖRπΑW → ΝΕ4НΒu → ЙI2ПАA → НωηaJ6 → ЗζtΜcC → υrHАΟO → ιΦMυla → ΨwYιΚk → ycCЕζΙ → σr9ИΟQ → ωΡMυpK → εΨQρje → ΟocεΣs → qTLφοΡ → αΚPςwi → ΡgCЕβq → σjPςΨQ → ΣΠcεqp → qSOσπΡ → ΤΜPςuo → ΡUGБξq → λΘPςyY → ΡΑ8ЙΖq → БQ4НςI → ЙιΟqZA → ωxNτΙK → εΦAЗle → χoYιΣM → αySοΘi → Λg8Йβw → БjDДΨI → ριcεZS → ΝxpΠΙu → QIAЗАσ → χθΠpaM → αvPςΛi → ΡgEГβq → οjPςΨU → ΡΙcεxq → qQAЗςΡ → χΠPςqM → αΡOσpi → ΤgQρβo → ΟjTξΨs → ΙdLφεy → αp9ИΡi → ωgQρβK → εΟiΨre → oeMυδΤ → ΨnTξΤk → ΙcUνζy → Ηr9ИΟΑ → ωN5МυK → ЗεΦkdC → υpZθΡO → ΦwQρΚm → ΟYCЕκs → σzLφΗQ → αΡ6Лpi → ЕgQρβE → ρΟiΨrS → ΝeMυδu → ΨnHАΤk → ιcUνζa → ΗwqΟΚΑ → OD5МЕυ → ЗςΥlQC → υΠXκqO → ΦΑOσΖm → ΤY4Нκo → ЙzTξΗA → ωΙ6ЛxK → ЕεAЗdE → χρoΡRM → αΞRπsi → ΝgKχβu → γjHАΨg → ιkcεΧa → wqaηΠΛ → uPDДσΝ → ρΣHАoS → ιΝSοta → ΛwIωΚw → ηECЕДc → σπrΞSQ → ΡΜLφuq → αQGБςi → λΠfβqY → ΑkOσΧΗ → Τb5Мηo → ЗtTξΝC → υΙIωxO → ηΦAЗlc → χsYιΞM → αyKχΘi → γg8Йβg → БkiΨΧI → ιeaηδa → wumΤΜΛ → WHDДБν → ρκΔΒYS → Νz1РΗu → ПI6ЛА4 → ЛЕηaD8 → ГςtΜQG → νΠHАqW → ιΕOσΒa → Τw2ПΚo → НUCЕξ6 → ЗσΗyPC → υΣ7КoO → ГΦSοlG → νΛYιvW → ΕyEГΘΓ → ο91РЙU → ПАΘxI4 → Лθ9Иa8 → ГωuΛJG → νζFВcW → νΕqΟΒW → ΕO2ПτΓ → НΥ1Рm6 → ПЗWλB4 → ЛφΒΔM8 → ГΩ1РiG → ПνeγV4 → ЛΖlΥΑ8 → ГY4НκG → ЙνyΗVA → ωΖ7КΑK → Гε4НdG → ЙνoΡVA → ωΖRπΑK → εΝ4Нte → ЙoIωΣA → ωηSοbK → εΛsΝve → oKEГψΤ → οδTξeU → ΚΘmΤyx → WC8ЙЖν → БτΔΒOI → ιΥ1Рma → ПwWλΚ4 → ЛΓCЕΔ8 → Гσ0СPG → СνΡoV2 → ПΖRπΑ4 → ЛΝ4Нt8 → ЙГIωFA → ωξζbUK → εΘrΞye → oM8ЙφΤ → БΩTξiI → ιΙeγxa → wmAЗΥΛ → χXDДλM → ραΑΕhS → Νh3Оαu → ЛhHАα8 → ГιgαZG → νxhΩΙW → ΕgAЗβΓ → χj1РΨM → Пαcεh4 → ЛqgαΠ8 → ГiOσΩG → νΤeγnW → ΕmUνΥΓ → ΗX1РλΑ → ПΒ5МΕ4 → ЛЗ2ПB8 → НГυMF6 → ЗξΧjUC → υΘbζyO → Φs8ЙΞm → БYKχκI → ιγyΗfa → wl7КΦΛ → ГZDДιG → ρνwΙVS → ΝΖBЖΑu → υI4НАO → ЙθΥlaA → ωvXκΛK → εΑEГΖe → οo4НΣU → ЙΙSοxA → ωΛAЗvK → χεEГdM → οαoΡhU → ΙhRπαy → Νh9Иαu → ωhHАαK → ιεgαda → wphΩΡΛ → gRDДργ → ρΞjΧsS → ΝcKχζu → γrHАΟg → ιkMυΧa → ΨwaηΚk → ucCЕζΝ → σrHАΟQ → ιΡMυpa → ΨwQρΚk → ΟcCЕζs → σrLφΟQ → αΡMυpi → ΨgQρβk → ΟjbζΨssdLφεΟαpLφΡiαgQρβiΟjfβΨskdLφεΨαpbζΡisgQρβΟΟjLφΨsαdLφεiαpfβΡikgQρβΨΟjbζΨs