Base 111: Maximum Iteration Sequences: Cycle Start

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ
λμνξοπρςστυφχψωА

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
26 max steps10 → 0ω → ψ1 → φ3 → ς7 → κF → ΣV
356 max steps100 → 0ωω → ψω1 → χω2 → φω3 → υω4 → τω5 → σω6 → ςω7 → ρω8 → πω9 → οωA → ξωB → νωC → μωD → λωE → κωF → ιωG → θωH → ηωI → ζωJ → εωK → δωL → γωM → βωN → αωO → ΩωP → ΨωQ → ΧωR → ΦωS → ΥωT → ΤωU → ΣωV → ΡωW → ΠωX → ΟωY → ΞωZ → Νωa → Μωb → Λωc → Κωd → Ιωe → Θωf → Ηωg → Ζωh → Εωi → Δωj → Γωk → Βωl → Αωm → zωn → yωo → xωp → wωq → vωr → uωs → tωt
44 max stepsu000 → tωωt → tstu → 1ωωψ → ψ0ψ2
546 max steps10000 → 0ωωωω → ψωωω1 → ψ0ωψ2 → ωυω31 → ψυω32 → χτω43 → φςω64 → υοω95 → τλωD6 → σζωI7 → ςΩωO8 → ρΡωV9 → πΙωdA → οzωmB → ξpωwC → νlωΑD → μoωxE → λkωΒF → κnωyG → ιjωΓH → θmωzI → ηiωΔJ → ζlωΑK → εhωΕL → δkωΒM → γgωΖN → βjωΓO → αfωΗP → ΩiωΔQ → ΨeωΘR → ΧhωΕS → ΦdωΙT → ΥgωΖU → ΤcωΚV → ΣfωΗW → ΡbωΛX → ΠeωΘY → ΟaωΜZ → ΞdωΙa → ΝZωΝb → ΞaωΜa → ΝcωΚb → ΜZωΝc → ΞZωΝa → ΞcωΚa → ΝaωΜb
6223 max stepsL000Zj → jZKδΞΕ → ΘeKδΙg → ΘUQΧΤg → voQΧys → vA2φοs → τε2φK6 → τξΘeB6 → ξγSΥMC → βΕqviO → ΒM4τγm → πΕEκiA → ζΥLγTK → ΚΖpwhe → VO6ςαΤ → μΑmzmE → ΧECμλS → ΩΦstSQ → xs0ψuq → ψ71χς2 → χυκE43 → τρΤT86 → ξιoxGC → βΡ8πWO → θΒjΓlI → ΞJFιζa → ΣΛcΚcW → lYWΠΟΓ → jgGθΗΕ → ΠQKδΨY → ΘwgΖqg → RP5σΩΨ → ξyuroC → βA2φοO → τεΑlK6 → ξΙEκeC → βΥTΤTO → Βqoxwm → F95σπλ → ξηΤTIC → βΝoxaO → Βc8πΛm → θYEκΟI → ΥΞfΗZU → peQΧΙy → vU8πΤs → θo2φyI → τΞ9οZ6 → ξζdΙJC → βΛUΣcO → ΒnXΟzm → hFBνκΗ → βΤOΩUO → Βznynm → FCAξνλ → δαΤTOM → ΖΑoxmi → NE8πλγ → θΦΓjSI → ΞsIζua → Μd1χΚc → φZVΡΞ4 → ςldΙΒ8 → κVFιΣG → ΤΡlΑWV → nkEκΓΑ → ΥICμηU → ΩΝoxaQ → xc8πΛq → θY6ςΟI → μΞfΗZE → ΧeQΧΙS → vtTΤts → p2ωωφy → χxkΒp3 → τH7ρθ6 → ξκΞYFC → βΤeΘUO → ΒoSΥym → rF9οκw → ζΤ4τUK → πΚnydA → ζWAξΡK → δΚjΓdM → ΖWIζΡi → ΜkMβΓc → ΔZHηΞk → ΞeIζΙa → ΜdTΤΚc → pZVΡΞy → le8πΙΓ → θUGθΤI → ΠΞnyZY → heAξΙΗ → δUOΩΤM → Ζznyni → NCAξνγ → δαΓjOM → ΖΑIζmi → ΜNDλβc → ΧΓYΞkS → tfHηΘu → ΞS0ψΦa → ψscΚu2 → φX1χΠ4 → φςhΕ74 → ςλMβE8 → κΦΓjSG → ΣsIζuW → Μl1χΒc → φZFιΞ4 → ςΣdΙV8 → κmUΣΑG → ΣnDλzW → ΧlBνΒS → βtFιtO → ΣΑωωlW → ΡΒGθlX → ΠjFιΔY → ΣhJεΖW → ΚlNαΒe → ΒVFιΣm → ΣmEκΑW → ΥlDλΒU → ΧpFιxS → Σt7ρtW → κkωωΒG → ιΓVΡkH → ΠlHηΒY → ΞhFιΖa → ΣdNαΚW → ΒlVΡΒm → lGEκιΓ → ΥΡGθWU → ΠpjΓxY → hJ7ρζΗ → κΛOΩcG → ΣzXΟnW → lhBνΖΓ → βOGθαO → ΠΒzmlY → hGCμιΗ → ΩΡOΩWQ → zxjΓpo → JB7ρξη → κγΛbMG → ΣΕYΞiW → lfLγΘΓ → ΖSGθΦi → ΠsMβuY → Δh1χΖk → φOIζα4 → ςΜzmb8 → κaCμΝG → ΩΣbΛVQ → xmYΞΑq → fE6ςλΙ → μΦSΥSE → ΧsqvuS → t51χτu → φο0ψA4 → ψςδK72 → φλΗfE4 → ςΦQΧS8 → κvrurG → Σ42φυW → τρkΒ86 → ξιGθGC → βΡΟXWO → ΒkgΖΓm → PIEκηα → ΥΝynaU → pcAξΛy → δY8πΟM → θΖfΗhI → ΞRNαΧa → ΒucΚsm → XF1χκΡ → φΤiΔU4 → ςoKδy8 → κΘ9οfG → ζΣRΦVK → ΚtlΑte → VEωωκΤ → λΣEκVF → ΦΤlΑUT → roEκyw → ΥA4τοU → πεoxKA → ζΙ8πeK → θΚTΤdI → ΞpVΡxa → ld7ρΚΓ → κWGθΡG → ΣΠjΓXW → liIζΕΓ → ΜMGθγc → ΠΕYΞiY → hfLγΘΗ → ΖSOΩΦi → zsMβuo → ΔB1χξk → φγIζM4 → ςΜΔib8 → κaKδΝG → ΣΘbΛfW → lZRΦΞΓ → teGθΙu → ΠU0ψΤY → ψogΖy2 → φP9οΩ4 → ςζxoJ8 → κΛ8πcG → θΣXΟVI → ΞmgΖΑa → dPDλΩΛ → ΧyWΠoS → tj9οΔu → ζK0ψεK → ψΚΘed2 → φWSΥΡ4 → ςrjΓv8 → κJ3υζG → ςΣΚcV8