Base 79: Maximum Iteration Sequences: Full Cycle

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ

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
28 max steps10 → 0Ρ → Π1 → Ξ3 → Κ7 → ΒF → lVlV
342 max steps100 → 0ΡΡ → ΠΡ1 → ΟΡ2 → ΞΡ3 → ΝΡ4 → ΜΡ5 → ΛΡ6 → ΚΡ7 → ΙΡ8 → ΘΡ9 → ΗΡA → ΖΡB → ΕΡC → ΔΡD → ΓΡE → ΒΡF → ΑΡG → zΡH → yΡI → xΡJ → wΡK → vΡL → uΡM → tΡN → sΡO → rΡP → qΡQ → pΡR → oΡS → nΡT → mΡU → lΡV → kΡW → jΡX → iΡY → hΡZ → gΡa → fΡb → eΡc → dΡdcΡedΡd
443 max stepse000 → dΡΡd → dcde → 1ΡΡΠ → Π0Π2ΠΝ32ΞΙ74ΚΑF8ΒkVGlEΒWnEΒUnIxUfIxcf2ΞcΜ2Ξ6ΜΕB6ΖsNCtUlOVGzmjGzYjAΖYvAΖMvYhMZ8Θiz8ΘIzgZIh6ΚaΔ6ΚEΔoREpMtSXMtkXCΔkrCΔQrQpQROrqTOroTKvobKvgb4ΜgΘ4ΜAΘwJAxcdKd0ΠeΠ0Π2
535 max steps10009 → 90ΡΠΙ → ΡΖΡA1 → ΠΖΡA2 → ΟΕΡB3 → ΞΓΡD4 → ΝzΡG5 → ΜvΡK6 → ΛqΡP7 → ΚkΡV8 → ΙdΡc9 → ΘVΡkA → ΗbΡeB → ΖUΡlC → ΕaΡfD → ΔTΡmE → ΓZΡgF → ΒSΡnG → ΑYΡhH → zRΡoI → yXΡiJ → xQΡpK → wWΡjL → vPΡqM → uVΡkN → tOΡrO → sUΡlP → rNΡsQ → tRΡoO → sRΡoP → rQΡpQ → qQΡpR → qOΡrRsPΡqPrSΡnQqOΡrR
6137 max steps60000D → D5ΡΡΛΕ → ΜΔ5ΛD6 → ΗΕpQCB → vsOrOM → ZUSnmi → LI8Θyw → zgafaI → h64ΜΛa → ΘΕ6ΚCA → ΔxrOJE → peSncS → NL1Οvu → ΞaWjg4 → ΚD5ΛΔ8 → ΖΒpQFC → tmOrUO → VTHynm → hKGzwa → jc6ΚeY → ΔB1ΟΖE → ΞuoRM4 → ΚYMti8 → ΒX9ΗjG → xlBΕVK → tdFΑdO → lUΡΡlW → mjΡΡWV → lk2ΞWW → ΜFDΓΒ6 → ΖplURC → tOGzsO → jVTmlY → JGAΖΑy → vkebWM → ZE2ΞΓi → Μo8ΘS6 → ΖzLuHC → tiYhYO → VA8ΘΗm → zwGzKI → jhbeZY → B82ΞΙΗ → ΜΑuLG6 → ΖkYhWC → tE8ΘΓO → zoUlSI → hMGzua → jY6ΚiY → ΔB9ΗΖE → xuoRMK → dYMtie → XA0ΠΗk → ΠwCΔK2 → ΞrbeP4 → ΚS2Ξo8 → ΜΒLuF6 → ΖmYhUC → tI8ΘyO → zgUlaI → hH5Λza → Ζi6ΚYC → Δt9ΗNE → xpVkRK → dOEΒse → nU0ΠmU → ΠJHyx2 → ΞhdcZ4 → Κ80ΠΙ8 → ΠΒzGF2 → ΞmiXU4 → ΚIAΖy8 → ΒvfaLG → la4ΜgW → ΘF5ΛΒA → ΖxlUJC → teGzcO → jV1ΟlY → ΞGAΖΑ4 → ΚvjWL8 → ΒaCΔgG → rl5ΛVQ → ΖRFΑpC → tlNsVO → WUFΑml → lIEΒyW → ngEΒaU → nJ5ΛxU → ΖeIxcC → tf1ΟbO → ΞV3Νl4 → ΛΙFΑ87 → ΔΑkVGE → pkEΒWS → nNDΓtU → pWIxkS → fNDΓtc → pW2ΞkS → ΜNDΓt6 → ΖpVkRC → tOEΒsO → nVTmlU → KIFΑyx → lgcdaW → F60ΠΛΓ → ΠΕmTC2 → ΞsIxO4 → ΚfTmb8 → ΒJ3ΝxG → ΚldcV8 → ΒG0ΠΑG → ΠljWV2 → ΞGCΔΑ4 → ΚrjWP8 → ΒSCΔoG → rlLuVQ → ZRFΑpi → lO8ΘsW → zUEΒmI → nhHyZU → hJ7Ιxa → Βe6ΚcG → Δl1ΟVE → ΞpFΑR4 → ΚlNsV8 → ΒVFΑlGmkFΑWVlHDΓzWpiEΒYSnN9ΗtUxWIxkKfdDΓdcp2ΡΡΞSΟoNsS3ΜVLul6ΖZFΑhCtl7ΙVOΒVFΑlG
753 max stepsK00000K → KJΡΡΡwx → xwJΡwKK → xdbΡedK → wM0ΡΠuL → ΡuZΡgM1 → ΠuKΡvM2 → ΟvYΡhL3 → ΞtMΡtN4 → ΝrVΡkP5 → ΜnLΡuT6 → ΛqQΡpQ7 → ΚkPΡqW8 → ΙkJΡwW9 → ΘpPΡqRA → ΗiOΡrYB → ΖiIΡxYC → ΕnOΡrTD → ΔgNΡsaE → ΓgHΡyaF → ΒlNΡsVG → ΑeMΡtcH → zeGΡzcI → ΑhMΡtZH → zeJΡwcI → ygJΡwaJ → xfLΡubK → wcIΡxeL → ycJΡweJ → xfJΡwbK → xdKΡvdK → wdHΡydL → zdIΡxdI → yhJΡwZJ → xfMΡtbK → wbHΡyfL → zdKΡvdI → yfHΡybJ → zfMΡtbI → ydHΡydJ → zfKΡvbI → yfJΡwbJ → xfKΡvbK → wdJΡwdL → xbIΡxfK → ydLΡudJxdGΡzdKΑfJΡwbHzhKΡvZIyfLΡubJxdIΡxdKydJΡwdJxfIΡxbKydLΡudJ