Base 122: Maximum Iteration Sequences: Full Cycle

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ
λμνξοπρςστυφχψωА
БВГДЕЖЗИЙКЛМНОПР

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
222 max steps20 → 1Й → З3Г7υFεVБ9ρJΦdΛnΟjyzЙ1З3
363 max steps100 → 0КК → ЙК1 → ИК2 → ЗК3 → ЖК4 → ЕК5 → ДК6 → ГК7 → ВК8 → БК9 → АКA → ωКB → ψКC → χКD → φКE → υКF → τКG → σКH → ςКI → ρКJ → πКK → οКL → ξКM → νКN → μКO → λКP → κКQ → ιКR → θКS → ηКT → ζКU → εКV → δКW → γКX → βКY → αКZ → ΩКa → ΨКb → ΧКc → ΦКd → ΥКe → ΤКf → ΣКg → ΡКh → ΠКi → ΟКj → ΞКk → ΝКl → ΜКm → ΛКn → ΚКo → ΙКp → ΘКq → ΗКr → ΖКs → ΕКt → ΔКu → ΓКv → ΒКw → ΑКx → zКy → yКzyКz
437 max stepsF00k → kEυΟ → ηTζU → Βyyx → 3ККЗ → З2З4 → ЕВ76 → ωτFCνδVOΝvΒmQ5ДλωΘpCνHςOαΜlaoPκΛΙLξqΡHςiαXβasnΚΗMDφοιΠhSΕXβus9АΗρDφKιΥdSΕfΣuc9АΨρjΞKΦTζeΑfΣyc1ИΨЗjΞ4ГTζ8υzxGε1ИWЗvΒ4Г5Д8ωτFC
551 max stepsy0000 → xКККΑ → ΑwКΑy → Β1КИx → ЙxКz2 → ИyКy3 → ЗwКΑ4 → ЖxКz5 → ЕvКΒ6 → ДwКΑ7 → ГuКΓ8 → ВvКΒ9 → БtКΔA → АuКΓB → ωsКΕC → ψtКΔD → χrКΖE → φsКΕF → υqКΗG → τrКΖH → σpКΘI → ςqКΗJ → ρoКΙK → πpКΘL → οnКΚM → ξoКΙN → νmКΛO → μnКΚP → λlКΜQ → κmКΛR → ιkКΝS → θlКΜT → ηjКΞU → ζkКΝV → εiКΟW → δjКΞX → γhКΠY → βiКΟZ → αgКΡa → ΩhКΠb → ΨfКΣc → ΧgКΡd → ΦeКΤe → ΥfКΣf → ΤdКΥg → ΦcКΦe → ΧfКΣd → ΦfКΣeΥeКΤfΥdКΥfΦdКΥeΦfКΣe
6743 max stepsF000kπ → πkEυΞL → ηΤSηfU → ΓΑcΦxw → i62ЗДΡ → ЕψXβC6 → ωμrΖOC → νΜDφmO → ιΝOλlS → ΛΕQιto → ΗMAωξs → οΠDφiM → ιΡWγhS → ΕuYαΔu → qA8БАΙ → σπHςKI → βΩΤeaZ → qndΥΛΙ → gNHςνΤ → αΞbΧka → okSηΞΛ → ΓTLξηw → ΡΒ5Дwi → ωY4ЕβC → БνqΗNA → ρΞFτkK → εΦSηdW → ΓwgΡΒw → a64ЕДα → БψnΚCA → ρμLξOK → ΦΡΛmhe → gZNμαΤ → ΝpbΧΙm → kQIρκΟ → ΨΘTζqc → ΑkGσΞy → γT1ИηY → ЗΒrΖw4 → ГE4Еφ8 → БυηSFA → ρζΒvUK → Φz5Дye → ωg0ЙΣC → ЙνaΨN2 → ЗΞlΜk4 → ГTPκη8 → υΙΑwpG → εJ3ЖρW → ГΧvΒc8 → υj5ДΟG → ωεUεVC → νywΑzO → Ν40ЙЖm → ЙВPκ82 → ЗτΘpG4 → ГδHςW8 → υαuΓZG → εp7ВΙW → υwIρΒG → εΨ4ЕbW → БwkΝΒA → ρS4ЕθK → БΦΓudA → ρh7ВΡK → υΦYαdG → εqgΡΘW → waGσΩΓ → γn5ДΛY → ωsMνΖC → νΟCχjO → λΝUεlQ → ΙyQιzq → ΗI0Йςs → ЙΩDφa2 → ЗιmΛR4 → ГΖNμs8 → υΝCχlG → λεQιVQ → ΙΗwΑrq → IF3Жυσ → ГζΩZU8 → υznΚyG → εM0ЙξW → ЙΠvΒi2 → ЗX5Дγ4 → ГωsΕB8 → υξBψMG → νεΟiVO → ΝxVδΑm → wQ2ЗκΓ → ЕΘ5Дq6 → АψGσCB → ομβXOM → ΡΜrΖmi → YPDφλγ → ιΚrΖoS → ΕLDφοu → ιΣ9АgS → ρΕaΨtK → ΦmAωΜe → οgOλΣM → ΡΛaΨni → mYMνβΝ → ΟrPκΗk → ΙUEυζq → ηzHςyU → αΑ0Йxa → Йo2ЗΚ2 → ЗЕKο54 → ГАΣfA8 → υπbΧKG → εΥjΞeW → wfTζΤΓ → Αd5ДΦy → ωh1ИΡC → ЗνYαN4 → ГΞpΘk8 → υTHςηG → εαΑwZW → wp3ЖΙΓ → ГJ5Дρ8 → ωυΦcFC → νζhΠUO → ΝzXβym → sQ0ЙκΗ → ЙΘDφq2 → ЗιGσR4 → ГγΕsX8 → υtBψΕG → νεAωVO → οΝwΑlM → ΡR3Жιi → ГΖXβs8 → υsCχΖG → λεCχVQ → λΙwΑpQ → ΙJ3Жρq → ГΧHςc8 → υαiΟZG → εpVδΙW → xvIρΓΒ → Ψ73ЖГc → ГφjΞE8 → υθTζSG → εΔzxuW → w91ИБΓ → Зς5ДI4 → ГωΨaB8 → υξlΜMG → εΠPκiW → ΙwWγΒq → uI4ЕςΕ → БΩ9АaA → ςπmΛKJ → ΨΥNμec → ΝkeΤΞm → eTPκηΦ → ΙΒfΣwq → cI4ЕςΨ → БΩjΞaA → ρnTζΛK → ΦΑMνxe → Οg2ЗΣk → ЕbTζΨ6 → ωΑkΝxC → νS2ЗθO → ЕΝΓul6 → ωR7ВιC → υνΕsNG → εΞBψkW → νwSηΒO → ΝΓ4Еvm → БQ6ГκA → χρΗqJE → ιΧFτcS → εΕiΟtW → wWAωδΓ → οv5ДΓM → ωΡ6ГhC → χνYαNE → ιΞpΘkS → ΕTHςηu → αΒ9Аwa → ρo4ЕΚK → БΦKοdA → ρΤgΡfK → ΦdZΩΦe → ohfΣΡΛ → cZLξαΨ → ΡpjΞΙi → YUIρζγ → ΨzrΖyc → kE0ЙφΟ → ЙθTζS2 → ЗΔzxu4 → Г91ИБ8 → ЗυρIF4 → ГζΧbU8 → υzjΞyG → εU0ЙζW → ЙzvΒy2 → З60ЙД4 → ЙГχC72 → ЗφκPE4 → ГθΘpS8 → υΔHςuG → εα8БZW → σwoΙΒI → αK4Еπa → БΥnΚeA → ρfLξΤK → ΦΡcΦhe → igYαΣΡ → qbXβΨΙ → slHςΝΗ → αRDφιa → ιΖnΚsS → ΕMCχξu → λΠ9АiQ → ρΙWγpK → ΦuIρΔe → Ψg8БΣc → σkaΨΞI → αmSηΜa → ΓoOλΚw → ΛL5Дοo → ωΣLξgC → νΡaΨhO → ΝmYαΜm → qQOλκΙ → ΛΘHςqo → αMGσξa → γΠnΚiY → sXLξγΗ → ΡtDφΕi → ιYAωβS → οΕqΗtM → ΡGAωτi → οδXβWM → ΡvrΖΓi → YE6Гφγ → χθrΖSE → ιΔDφuS → ιΕ8БtS → σΕAωtI → οαAωZM → οΡoΙhM → ΡZJπαi → ΦpXβΙe → sgIρΣΗ → ΨbDφΨc → ιljΞΝS → ΕUQιζu → Ηz9Аys → ρE0ЙφK → ЙθΥdS2 → ЗΔfΣu4 → Гc8БΧ8 → υσiΟHG → εβVδYW → xvqΗΓΒ → G73ЖГυ → ГφδVE8 → υθvΒSG → εΔ5ДuW → ωw8БΒC → σν4ЕNI → БαΝkZA → ρpRθΙK → ΦΕIρte → ΨgAωΣc → οkaΨΞM → ΡmSηΜi → ΓYOλβw → Λr5ДΗo → ωMEυξC → νηΟiTO → ΝΒVδwm → wQ4ЕκΓ → БΘ5ДqA → ωρGσJC → νγΦcXO → ΝthΠΕm → YQAωκγ → οΘrΖqM → ΡHDφσi → ιβXβYS → ΕsqΗΖu → GD9Аχυ → ρκδVQK → ΦΘvΒqe → gH5ДσΤ → ωβbΧYC → νrjΞΗO → ΝUEυζm → ηzPκyU → ΙΑ0Йxq → ЙI2Зς2 → ЗЕΨa54 → ГАlΜA8 → υπPκKG → εΥΘpeW → wfHςΤΓ → αd5ДΦa → ωogΡΚC → νaKοΩO → ΤΝmΛlg → cRNμιΨ → ΝΖjΞsm → UQCχκη → λΘzxqQ → ΙH1Иσq → ЗβHςY4 → ГαqΗZ8 → υpFτΙG → ζδIρWV → ΨyuΓzc → k80ЙВΟ → ЙτTζG2 → ЗδzxW4 → Гv1ИΓ8 → Зυ6ГF4 → ГχεUD8 → υκxzQG → εΘ1ИqW → ЗwGσΒ4 → Гγ4ЕX8 → БυsΕFA → ρζBψUK → νΦyydO → ΝgККΡm → ΣΜ3Жmh → ГaOλΩ8 → υΛmΛnG → εOMνμW → ΟΜvΒmk → UP5Дλη → ωΚzxoC → νL1ИοO → ЗΣΜlg4 → ГbPκΨ8 → υΙkΝpG → εSIρθW → ΨΔvΒuc → k95ДБΟ → ωςTζIC → νΩzxaO → Νn1ИΛm → ЗQMνκ4 → ГΟΗqj8 → υVFτεG → ζδwΑWV → yv3ЖΓΑ → Г71ИГ8 → ЗφτFE4 → ГθδVS8 → υΔvΒuG → ε95ДБW → ωςvΒIC → νΩ5ДaO → ωΝmΛlC → νRNμιO → ΞΜΕsml → SPBψλι → νΚΔtoO → ΝL9Аοm → ρΣPκgK → ΦΙaΨpe → mgIρΣΝ → ΨbPκΨc → ΙljΞΝq → URHςιη → αΖzxsa → oD1ИχΛ → ЗκLξQ4 → ГΡΗqh8 → υZFταG → ζδoΙWV → yvJπΓΑ → Φ71ИГe → ЗφfΣE4 → ГθbΧS8 → υΔjΞuG → εU8БζW → σzvΒyI → α60ЙДa → ЙψnΚC2 → ЗμLξO4 → ГΡΛmh8 → υZNμαG → εΝoΙlW → wRJπιΓ → ΦΖ5Дse → ωgCχΣC → νλaΨPO → ΝΚlΜom → RPKολκ → ΤΚΖrog → cLDφοΨ → ιΣjΞgS → ΕbTζΨu → Αl9АΝy → ρR1ИιK → ЗΦΕsd4 → ГhBψΡ8 → υνYαNG → εΞpΘkW → wTHςηΓ → αΒ5Дwa → ωo4ЕΚC → БνKοNA → ρΤΝkfK → ΦdRθΦe → ΕhfΣΡu → cZ9АαΨ → ρpjΞΙK → ΦUIρζe → ΨzfΣyc → kc0ЙΧΟ → ЙjTζΟ2 → ЗΑUεx4 → Гy2Зz8 → Еυ0ЙF6 → ЙωεUB2 → ЗξxzM4 → ГΠ1Иi8 → ЗυWγF4 → ГζtΔU8 → υz9АyG → ρε0ЙVK → ЙΦwΑd2 → Зh3ЖΡ4 → ДВYα87 → χτpΘGE → ιδHςWS → αΕuΓta → oB7ВωΛ → υξLξMG → εΡΟihW → wZVδαΓ → wp5ДΙΓ → ωJ5ДρC → ωνΦcNC → νΞhΠkO → ΝYSηβm → ΓrPκΗw → ΙF5Дυq → ωζHςUC → ναyyZO → ΝoККΙm → ΜΚ3Жon → ГOKομ8 → υΤΛmfG → εdNμΦW → ΝwgΡΒm → aQ4Еκα → БΘnΚqA → ρMGσξK → γΦΟidY → shVδΡΗ → wZDφαΓ → ιp5ДΙS → ωΕIρtC → νΨAωbO → οΝkΝlM → ΡSQιθi → ΗΔXβus → sE8БφΗ → σθDφSI → ιαΓuZS → Εp7ВΙu → υJ9АρG → ρεΦcVK → ΦxhΠΑe → gY2ЗβΤ → ЕrbΧΗ6 → ωkEυΞC → νηSηTO → ΝΓΑwvm → Q73ЖГλ → ГφΘpE8 → υθHςSG → εαΓuZW → wp7ВΙΓ → υJ5ДρG → ωεΦcVC → νxhΠΑO → ΝY2Зβm → ЕrPκΗ6 → ωΙEυpC → νηIρTO → ΨΝΑwlc → kR3ЖιΟ → ГΖTζs8 → υΑCχxG → λε2ЗVQ → ЕΙwΑp6 → ωJ3ЖρC → ГνΦcN8 → υΞhΠkG → εYSηβW → ΓwqΗΒw → G64ЕДυ → БψδVCA → ρμvΒOK → ΦΜ5Дme → ωgOλΣC → νΛaΨnO → ΝmMνΜm → ΟQOλκk → ΛΘTζqo → ΑMGσξy → γΠ1ИiY → ЗsWγΖ4 → ГuCχΔ8 → υλ8БPG → σεΙoVI → αxJπΑa → Φo2ЗΚe → ЕgKοΣ6 → ωΤaΨfC → νmcΦΜO → ΝiOλΠm → ΛXPκγo → ΙtLξΕq → ΡIAωςi → οΩXβaM → ΡsmΛΖi → YOCχμγ → λΜrΖmQ → ΙPDφλq → ιΚHςoS → αΕKοta → ΤoAωΚg → οcKοΧM → ΤΡiΟhg → cZVδαΨ → wpjΞΙΓ → UJ5Дρη → ωΧzxcC → νj1ИΟO → ЗΝUεl4 → ГyQιz8 → υΗ0ЙrG → ЙεEυV2 → ЗηwΑT4 → ГΒ3Жw8 → Гυ4ЕF8 → БυεUFA → ρζxzUK → Φz1Иye → Зg0ЙΣ4 → ЙГaΨ72 → ЗφlΜE4 → ГθPκS8 → υΙΓupG → εJ7ВρW → υΧvΒcG → εj5ДΟW → ωwUεΒC → νy4ЕzO → БΝ0ЙlA → ЙρQιJ2 → ЗΧΖrc4 → ГjDφΟ8 → υιUεRG → εΖxzsW → wD1ИχΓ → Зκ5ДQ4 → ГωΗqB8 → υξFτMG → ζδΟiWV → yvVδΓΑ → w71ИГΓ → Зφ5ДE4 → ГωηSB8 → υξΒvMG → εΠ5ДiW → ωwWγΒC → νu4ЕΔO → БΝ8БlA → σρQιJI → αΧΖrca → ojDφΟΛ → ιVLξεS → ΡΕwΑti → YB3Жωγ → ГξrΖM8 → υΠDφiG → ιεWγVS → ΕxtΔΑu → B92ЗБА → ЕςξLI6 → ωΩΠhaC → νnXβΛO → ΝsMνΖm → ΟQCχκk → λΘTζqQ → ΙΑGσxq → γI2ЗςY → ЕΩrΖa6 → ωnDφΛC → νιMνRO → ΟΝΕslk → URBψιη → νΖzxsO → ΝD1Иχm → ЗκPκQ4 → ГΙΗqp8 → υJFτρG → ζδΦcWV → yvhΠΓΑ → Y71ИГγ → ЗφrΖE4 → ГθDφS8 → υιΓuRG → εΖ7ВsW → υwCχΒG → λε4ЕVQ → БΙwΑpA → ρJ3ЖρK → ГΧΥdc8 → υjfΣΟG → εcUεΧW → ywiΟΒΑ → W51ИЕε → ЗАvΒA4 → Гπ5ДK8 → ωυΤeFC → νζdΥUO → ΝzfΣym → cQ0ЙκΨ → ЙΘjΞq2 → ЗUGσζ4 → ГγyyX8 → υsККΕG → τΖdΥsH → γgCχΣY → λsaΨΖQ → ΙmCχΜq → λPHςλQ → αΚΘpoa → oLHςοΛ → αΣLξga → ΡoaΨΚi → mYKοβΝ → ΤrPκΗg → ΙcEυΧq → ηjHςΟU → αΑUεxa → yo2ЗΚΑ → ЕL1Иο6 → ЗωΡgB4 → ГξZΩM8 → υΠnΚiG → εXLξγW → ΡwsΕΒi → YC4Еψγ → БμrΖOA → ρΜDφmK → ιΦOλdS → ΛΕgΡto → aMAωξα → οΠnΚiM → ΡXLξγi → ΡtXβΕi → sYAωβΗ → οrDφΗM → ιΡEυhS → ηΕYαtU → ΑqAωΘy → οH1ИσM → ЗβΠhY4 → ГrXβΗ8 → υsEυΖG → ηεCχVU → λΑwΑxQ → Ι42ЗЖq → ЕВHς86 → ωτΩZGC → νδnΚWO → ΝvLξΓm → ΡQ6Гκi → χΘXβqE → ιsGσΖS → γΕCχtY → λsAωΖQ → οΙCχpM → λΡIρhQ → ΨΙYαpc → qkIρΞΙ → ΨTHςηc → αΒjΞwa → oU4ЕζΛ → БzLξyA → ρΡ0ЙhK → ЙΦYαd2 → ЗqgΡΘ4 → ГaGσΩ8 → υγmΛXG → εtNμΕW → ΝwAωΒm → οQ4ЕκM → БΡΗqhA → ρZFταK → εΦoΙdW → whJπΡΓ → ΦZ5Дαe → ωpfΣΙC → νcIρΧO → ΨΝiΟlc → kWQιδΟ → ΗvTζΓs → ΑE6Гφy → χθ1ИSE → ЗιΓuR4 → ГΖ7Вs8 → φτCχGF → ληγWTQ → ΙΒtΔwq → IA4ЕАσ → БπΩZKA → ρΥnΚeK → ΦfLξΤe → ΡgcΦΣi → ibXβΨΡslXβΝΗsRDφιΗιΖDφsSιΕCχtSλΕAωtQοΙAωpMοΡIρhMΨΡYαhcqkYαΞΙqTHςηΙαΒHςwaαo4ЕΚaБoKοΚAρΤKοfKΦΤcΦfeigcΦΣΡibXβΨΡ