Base 119: Maximum Iteration Sequences: Cycle Start

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
Cycle Start
11 max steps10
25 max steps10 → 0З → Ж1 → Д3 → А7 → ςF
360 max steps100 → 0ЗЗ → ЖЗ1 → ЕЗ2 → ДЗ3 → ГЗ4 → ВЗ5 → БЗ6 → АЗ7 → ωЗ8 → ψЗ9 → χЗA → φЗB → υЗC → τЗD → σЗE → ςЗF → ρЗG → πЗH → οЗI → ξЗJ → νЗK → μЗL → λЗM → κЗN → ιЗO → θЗP → ηЗQ → ζЗR → εЗS → δЗT → γЗU → βЗV → αЗW → ΩЗX → ΨЗY → ΧЗZ → ΦЗa → ΥЗb → ΤЗc → ΣЗd → ΡЗe → ΠЗf → ΟЗg → ΞЗh → ΝЗi → ΜЗj → ΛЗk → ΚЗl → ΙЗm → ΘЗn → ΗЗo → ΖЗp → ΕЗq → ΔЗr → ΓЗs → ΒЗt → ΑЗu → zЗv → yЗw → xЗx
44 max stepsy000 → xЗЗx → xwxy → 1ЗЗЖ → Ж0Ж2
545 max stepsw0000 → vЗЗЗz → zuЗzw → Α2ЗДv → ЕvЗy3 → ДwЗx4 → ГuЗz5 → ВvЗy6 → БtЗΑ7 → АuЗz8 → ωsЗΒ9 → ψtЗΑA → χrЗΓB → φsЗΒC → υqЗΔD → τrЗΓE → σpЗΕF → ςqЗΔG → ρoЗΖH → πpЗΕI → οnЗΗJ → ξoЗΖK → νmЗΘL → μnЗΗM → λlЗΙN → κmЗΘO → ιkЗΚP → θlЗΙQ → ηjЗΛR → ζkЗΚS → εiЗΜT → δjЗΛU → γhЗΝV → βiЗΜW → αgЗΞX → ΩhЗΝY → ΨfЗΟZ → ΧgЗΞa → ΦeЗΠb → ΥfЗΟc → ΤdЗΡd → ΣeЗΠe → ΡcЗΣf → ΤbЗΤd → ΥeЗΠc → ΤeЗΠd
6402 max steps3000iσ → σi2ДΝF → ВδTγT6 → φywxwC → κ20ЖЕO → ЖГΙl42 → ДωMκ84 → АρΛjG8 → ςαQζWG → βΔrΓrW → tCAφυΓ → μι8ψOM → πΞΘmhI → ΧWKμαa → ΠskΚΓg → ZP9χθΨ → ξΗmΘoK → ΣLHομe → ΧΟcΣga → lfXΨΠΛ → paOθΦΗ → ΘkGπΛo → ΩQIξηY → ΥΕoΖqc → hHDσπΟ → ζΨWΩYS → ΒrnΗΔu → JC6Аυο → τιΤbOE → ζΙgΞmS → ΒXLλΩu → Ξq6АΕi → τVDσβE → ηεtΑSR → ΔΑ6Аus → τB5БφE → φλεRMC → κΝΑtiO → ΚU6Аγm → τwMκyE → ζΜ1ЕjS → ДΒRεt4 → АΒ7ωt8 → σρ7ωGF → ςδΩWTG → βyqΔwW → tD1ЕτΓ → Дη8ψQ4 → АπΔqH8 → ςΨCτYG → θβnΗVQ → ΖuIξΑq → ΥF5Бςc → φγgΞUC → κwWΩyO → Κr1ЕΔm → ДNBυκ4 → АκΚkN8 → ςΛOθkG → βΘPηnW → ΖtJνΒq → ΣF7ωςe → ςγcΣUG → βweΠyW → tb1ЕΥΓ → Дi8ψΝ4 → АπTγH8 → ςΨwxYG → βo0ЖΗW → ЖtHοΒ2 → ДΧ7ωZ4 → АςlΙF8 → ςγMκUG → βΜvyjW → tS2ДεΓ → ВΑ8ψu6 → φπ5БHC → φκΧYNC → κΛmΘkO → ΚQKμηm → ΠΕMκqg → ΜZDσΧk → ζmQζΙS → ΔΒLλts → ΞB7ωφi → ςλUβMG → βΝuziW → tU4ВγΓ → ψw8ψyA → πξ1ЕJI → ДΧΣcZ4 → АmeΠΙ8 → ςbLλΥG → βΞhΝhW → tWUβαΓ → vs8ψΓΑ → πA4ВχI → ψνΦZKA → ξΡkΚeK → ΣcOθΤe → ΘgcΣΟo → fYIξΨΡ → ΥoaΥΗc → jhHοΞΝ → ΧWSδαa → zskΚΓw → PA2Дχι → ВνΗnK6 → φΡIξeC → κΥbΤbO → ΚigΞΝm → XUMκγα → ΜwqΔyk → RD1Еτη → ДηΓrQ4 → АΕAφq8 → ςμDσLG → ζβΞgVS → ΒuWΩΑu → r75БАΕ → φσCτEC → κθδSPO → ΚΗyvom → NI2Дολ → ВΦΛja6 → φkQζΛC → κΔPηrO → ΚΖBυpm → κNFρκO → βΛΙlkW → tQMκηΓ → ΜΕ8ψqk → πRDσζI → ζΧΒsZS → Βm8ψΙu → πM6АλI → τΧΜiZE → ζmSδΙS → ΒzLλvu → Ξ73ГАi → АσUβE8 → ςεuzSG → βΑ4ВuW → ψt5БΒA → φξ7ωJC → ςκΣcNG → βΛeΠkW → tbPηΥΓ → Ζi8ψΝq → πUEςγI → δΧvyZU → xm2ДΙy → ВM0Жλ6 → ЖφΜiB2 → ДλSδM4 → АΝyvi8 → ςU2ДγG → ВβvyV6 → φu2ДΑC → Вκ5БN6 → χυΚkCB → μιOθOM → ΞΙΗnmi → VMIξλγ → ΥΝuzic → hU4ВγΟ → ψwWΩyA → ξr1ЕΔK → ДΣBυd4 → АκdΡN8 → ςΛcΣkG → βfPηΠW → ΖtZΦΒq → lF7ωςΛ → ςγOθUG → βΘvynW → tK2ДνΓ → ВΡ8ψe6 → φπbΤHC → κΨgΞYO → ΚoWΩΗm → rNHοκΕ → ΧΛCτka → θlPηΚQ → ΗΕNιqp → ΚHDσπm → ζΨMκYS → ΜΒnΗtk → RJ7ωξη → ςΤΓrcG → βgAφΟW → μtXΨΒM → Ξp7ωΖi → ςVFρβG → γαtΑWV → vs6АΓΑ → τA4ВχE → ψνεRKA → ξΡΑteK → Σc6АΤe → τgcΣΟE → ζfXΨΠS → ΒpZΦΖu → lG6АρΛ → ταOθWE → ζΘrΓnS → ΒKAφνu → μΡ6АeM → τΞbΤhE → ζhVαΞS → ΒtVαΒu → t86АωΓ → τρ8ψGE → πζΩWRI → ΧΓqΔsa → lD9χτΛ → ξηOθQK → ΣΘΔqne → dKCτνΤ → θΡeΠeQ → ΖcaΥΤq → jgEςΟΝ → δYSδΨU → zxnΗxw → J2ЗЗДο → ЕξEςJ3 → ВδΣcT6 → φyeΠwC → κb1ЕΥO → ДΚhΝl4 → АVNιβ8 → ςΚtΑlG → βO6АιW → τΙsΒmE → ζM8ψλS → πΝΑtiI → ΧU6Аγa → τwkΚyE → ζP1ЕθS → ДΗΑto4 → АI6Аο8 → τςΥaFE → ζγiΜUS → ΒwSδyu → z71ЕАw → Дσ2ДE4 → ВАδS76 → φσyvEC → κε2ДSO → ВΚzul6 → φO4ВιC → ψκΘmNA → ξΛKμkK → ΣΠPηfe → ΖdZΦΣq → leEςΡΛ → δcOθΤU → ΘxfΟxo → ZIЗЗξΨ → οΧEςZJ → δΥlΙbU → xiMκΝy → ΜU0Жγk → ЖwQζy2 → ДΔ1Еr4 → ДАBυ74 → АσιNE8 → ςεΙlSG → βΑMκuW → Μt5БΒk → φR7ωζC → ςκΒsNG → βΛ8ψkW → πtPηΒI → ΧΖ7ωpa → ςlFρΚG → γαNιWV → ΚvrΓzm → NB3Гφλ → АλΛjM8 → ςΝQζiG → βΔTγrW → xtBυΒy → κ80ЖωO → ЖρΙlG2 → ДαMκW4 → АΜrΓj8 → ςSAφεG → μβzuVM → Ξu4ВΑi → ψV5БβA → φξtΑJC → κΤ6АcO → τΚfΟlE → ζZNιΧS → ΚΒlΙtm → OM7ωλκ → ςΝΙliG → βUMκγW → ΜwsΒyk → R91Еψη → ДοΓrI4 → АΦAφa8 → ςμjΛLG → βΟQζgW → ΔtXΨΒs → pB7ωφΗ → ςλGπMG → βΩΜiXW → tqSδΕΓ → zE8ψσw → πε2ДSI → ВΧzuZ6 → φm4ВΙC → ψκLλNA → ξΞΚkhK → ΣWOθαe → ΘscΣΓo → fJ9χξΡ → ξΤaΥcK → ΣjfΟΜe → dZRεΧΤ → ΒmeΠΙu → bM6АλΦ → τΝiΜiE → ζUSδγS → Βzvyvu → 742ДГБ → ВωσD86 → φρεRGC → καΑtWO → Κs6АΓm → τN9χκE → ξζΚkRK → ΣΓOθse → Θd9χΣo → ξeIξΡK → ΥΣbΤdc → igdΡΟΞ → dYUβΨΤ → voeΠΗΑ → bI4ВοΦ → ψΦiΜaA → ξkSδΛK → ΣzPηve → Ζd3ГΣq → АeEςΡ8 → ςδbΤTG → βygΞwW → tX1ЕΩΓ → Дq8ψΕ4 → АπDσH8 → ςζΧYRG → βΓmΘsW → tL9χμΓ → ξΟ8ψgK → πΣXΨdI → ΧpdΡΖa → ldFρΣΛ → βeOθΡW → ΘtbΤΒo → hJ7ωξΟ → ςΤWΩcG → βrfΟΔW → tZBυΧΓ → κm8ψΙO → πΚLλlI → ΧΞNιha → ΚlVαΚm → tOMκιΓ → ΜΙ8ψmk → πRLλζI → ΧΞΒsha → lW8ψαΛ → πsOθΓI → ΧΘ9χna → ξlJνΚK → ΤΡNιed → ΚfbΤΠm → haMκΦΟ → ΜkWΩΛk → rRPηζΕ → ΖΓCτsq → θF9χςQ → ξγΕpUK → ΣwEςye → δd1ЕΣU → ДxdΡx4 → АcЗЗΣ8 → ωΤVαc9 → πtfΟΒI → ΧZ7ωΧa → ςmkΚΙG → βPLλθW → ΞΗsΒoi → VI8ψογ → πΦuzaI → Χk4ВΛa → ψlPηΚA → ξΖNιpK → ΣΚFρle → βdNιΣW → ΚtdΡΒm