Base 118: 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
22 max steps20 → 1Е → Г3
360 max steps100 → 0ЖЖ → ЕЖ1 → ДЖ2 → ГЖ3 → ВЖ4 → БЖ5 → АЖ6 → ωЖ7 → ψЖ8 → χЖ9 → φЖA → υЖB → τЖC → σЖD → ςЖE → ρЖF → πЖG → οЖH → ξЖI → νЖJ → μЖK → λЖL → κЖM → ιЖN → θЖO → ηЖP → ζЖQ → εЖR → δЖS → γЖT → βЖU → αЖV → ΩЖW → ΨЖX → ΧЖY → ΦЖZ → ΥЖa → ΤЖb → ΣЖc → ΡЖd → ΠЖe → ΟЖf → ΞЖg → ΝЖh → ΜЖi → ΛЖj → ΚЖk → ΙЖl → ΘЖm → ΗЖn → ΖЖo → ΕЖp → ΔЖq → ΓЖr → ΒЖs → ΑЖt → zЖu → yЖv → xЖw → wЖx
47 max stepsF00i → iEρΝ → γTβU → xuyx → 3ЖЖГ → Г2Г4 → Бψ76 → υπFC
546 max steps1000C → C0ЖЕυ → ЖςЖD1 → ЕςЖD2 → ДρЖE3 → ГοЖG4 → ВμЖJ5 → БθЖN6 → АγЖS7 → ωΦЖY8 → ψΞЖf9 → χΖЖnA → φwЖwB → υmЖΗC → τvЖxD → σlЖΘE → ςuЖyF → ρkЖΙG → πtЖzH → οjЖΚI → ξsЖΑJ → νiЖΛK → μrЖΒL → λhЖΜM → κqЖΓN → ιgЖΝO → θpЖΔP → ηfЖΞQ → ζoЖΕR → εeЖΟS → δnЖΖT → γdЖΠU → βmЖΗV → αcЖΡW → ΩlЖΘX → ΨbЖΣY → ΧkЖΙZ → ΦaЖΤa → ΥjЖΚb → ΤZЖΥc → ΦgЖΝa → ΥdЖΠb → ΤfЖΞc → ΣcЖΡd → ΣdЖΠd → ΡdЖΠe → ΡbЖΣe
6303 max stepsF000jΥ → ΥjEρΛb → γiQεΜU → ΓwSγxs → yA0Еφw → Еμ1ДK2 → ДВΟe43 → БψZΥ86 → υπjΚGC → ιΩPζWO → ΙΕqΓpm → MFBτρλ → ιβΜhUO → ΙvTβym → wM2Гκy → БΜ1Дi6 → ГυSγB4 → ωκxvM8 → ρΜ1ДiG → ГαSγV4 → ωysΑv8 → ρ82ГψG → БπΩVG6 → υΩrΒWC → ιr9φΓO → νΙAυlK → λΡMιdM → ΝΛcΡji → eUQεβΡ → ΓvbΣys → gA2ГφΟ → БμXΧK6 → υΠnΖeC → ιbHξΤO → ΦΙgΝla → kWMιΩΛ → ΛrPζΓk → ΕQAυζq → λΔDςqM → εΝCσhS → ηΑUαtQ → Εu6ωzq → σE4БςE → χεγSRA → νΒxvsK → Ρ91Дχe → ГξbΣI4 → ωΥfΞa8 → ρjXΧΛG → αoQεΖW → ΓsGοΒs → ΨA8χφY → ομnΖKI → ΦΠHξea → ΦkaΤΚa → kiOηΜΛ → ΗTPζγo → ΕxHξwq → ΦE0Еςa → ЕδjΚS2 → ГzPζu4 → ωΕ4Бp8 → χρEρFA → νγαUTK → Ρxtzwe → c60ЕАΤ → ЕτfΞC2 → ГθXΧO4 → ωΘnΖm8 → ρLHξλG → αΦΝgZW → slVΩΙΓ → sN9φιΓ → νΚ9φkK → νΡOηdK → ΡΗcΡne → ecIνΣΡ → ΤfbΣΟc → hfYΦΟΞ → mZVΩΦΙ → slLκΙΓ → ΝN9φιi → νΚTβkK → ΡwOηxe → Ηc0ЕΣo → ЕfHξΟ2 → ГΦYΦZ4 → ωmkΙΘ8 → ρOKλθG → αΟΗmfW → sZJμΦΓ → Ρl9φΙe → νcMιΣK → ΡΛeΟje → caQεΥΤ → ΓjfΞΛs → YR9φεΨ → νΒnΖsK → ΡI8χξe → οΥbΣaI → ΦjfΞΛa → kYQεΧΛ → ΓnPζΗs → ΕJ9φνq → νΣDςcK → εΡeΟdS → ΑdZΥΡu → kd5АΡΛ → υdPζΡC → ιΕcΡpO → ΙeEρΠm → γbLκΤU → ΝwgΝxi → WU0Еβα → ЕvrΒy2 → ГA2Гφ4 → БωλK76 → υςΞfEC → ιδXΧSO → ΙznΖum → MI4Бξλ → χΥΜhaA → νjTβΛK → ΡwQεxe → Γc0ЕΣs → Еf9φΟ2 → ГνYΦJ4 → ωΣlΘc8 → ρfLκΟG → αΝYΦhW → smUαΘΓ → uL9φλΑ → νΞ5АgK → υΡWΨdC → ιqcΡΔO → ΙeCσΠm → ηbLκΤQ → ΝΕgΝpi → WUEρβα → γvrΒyU → wA2Гφy → Бμ1ДK6 → ГυΟeB4 → ωκZΥM8 → ρΜjΚiG → αTPζγW → ΕxrΒwq → EA0Еφσ → ЕμδRK2 → ГΠzte4 → ωb5АΤ8 → υρgΝFC → ιβVΩUO → ΙvrΒym → MA2Гφλ → БμΜhK6 → υΠTβeC → ιwaΤxO → Ιi0ЕΜm → ЕTLκγ2 → ГΝwwh4 → ωUЖЖα8 → ψβNθU9 → οΙuylI → ΦN3Вιa → ωΚjΚk8 → ρQOηζG → αΗΓqnW → sJBτνΓ → ιΣ9φcO → νΙeΟlK → ΡaMιΥe → ΛjbΣΛk → gRPζεΟ → ΕΒXΧsq → oE8χςΗ → οδHξSI → ΧΥyuaZ → mj3ВΛΙ → ωRLκε8 → ρΝΑshG → αV7ψαW → ρtrΒΑG → αA6ωφW → σμrΒKE → εΠ9φeS → νΑaΤtK → Ρi6ωΜe → σcSγΣE → εyeΟvS → Αa2ГΥu → Бj5АΛ6 → φτQεCB → λθΒrOM → ΝΘ9φmi → νUKλβK → ΡΟuyfe → cZ3ВΦΤ → ωlfΞΙ8 → ρYMιΧG → αΛmΗjW → sRJμεΓ → ΡΒ9φse → νc8χΣK → οΡeΟdI → ΦdZΥΡa → ljcΡΛΚ → eRNθεΡ → ΙΒbΣsm → gM8χκΟ → οΜXΧiI → ΦoSγΖa → ykGοΚw → ΨP1ДηY → ГΖnΖo4 → ωIGοξ8 → ρΨΤaXG → αphΜΕW → sUEρβΓ → γv9φyU → νw2ГxK → БΡ0Еd6 → ЕυcΡB2 → ГκdΠM4 → ωΜbΣi8 → ρgSγΞG → αyWΨvW → sq2ГΔΓ → БD9φσ6 → υνεQJC → ιΣΒrcO → Ιf9φΟm → νZLκΦK → ΡΝkΙhe → cVNθαΤ → ΙtfΞΑm → YM6ωκΨ → σΜnΖiE → εTHξγS → ΦΑwwta → k6ЖЖωΛ → АΚbΣk7 → σgOηΞE → εΗWΨnS → ΑqIνΔu → ΤD5Аσc → υζfΞQC → ιΔXΧqO → ΙoCσΖm → ηMGοκQ → ΨΜΔpiY → oTDςγΗ → εxHξwS → ΦΑ0Еta → Еk6ωΚ2 → ГσOηD4 → ωζΖnQ8 → ρΔHξqG → αΦCσZW → ηskΙΒQ → ΕO8χθq → οΘDςmI → εΦKλZS → ΟΑkΙtg → YO6ωθΨ → σΘnΖmE → εLHξλS → ΦΞztga → kX5АΨΛ → υpPζΕC → ιΕEρpO → γΙEρlU → γwMιxU → Λw0Еxk → ЕQ0Еζ2 → ЕГΓq32 → ГАBτ64 → ωτθNC8 → ρθΘlOG → αΘLκmW → ΝsKλΒi → ΟU8χβg → οvXΧyI → Φo2ГΖa → БkGοΚ6 → υΨOηXC → ιΗoΕnO → ΙJFπνm → αΣLκcW → ΝseΟΒi → aU8χβΦ → οvjΚyI → ΦQ2Гζa → БΔjΚq6 → υQCσζC → ιηΓqPO → ΙΖBτom → ιMGοκO → ΨΜΘliY → oTLκγΗ → ΝxHξwi → ΦU0Еβa → ЕvjΚy2 → ГQ2Гζ4