Base 82: Maximum Iteration Sequences: Cycle Start

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ

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 → 1Τ → Ρ3
342 max steps100 → 0ΥΥ → ΤΥ1 → ΣΥ2 → ΡΥ3 → ΠΥ4 → ΟΥ5 → ΞΥ6 → ΝΥ7 → ΜΥ8 → ΛΥ9 → ΚΥA → ΙΥB → ΘΥC → ΗΥD → ΖΥE → ΕΥF → ΔΥG → ΓΥH → ΒΥI → ΑΥJ → zΥK → yΥL → xΥM → wΥN → vΥO → uΥP → tΥQ → sΥR → rΥS → qΥT → pΥU → oΥV → nΥW → mΥX → lΥY → kΥZ → jΥa → iΥb → hΥc → gΥd → fΥe → eΥf
47 max stepsA00V → V9Κp → ΑJzK → heed → 3ΥΥΡ → Ρ2Ρ4 → ΟΜ76 → ΙΔFC
535 max steps10000 → 0ΥΥΥΥ → ΤΥΥΥ1 → Τ0ΥΤ2 → ΥΠΥ31 → ΤΠΥ32 → ΣΟΥ43 → ΡΝΥ64 → ΠΚΥ95 → ΟΖΥD6 → ΞΑΥI7 → ΝuΥO8 → ΜnΥV9 → ΛfΥdA → ΚWΥmB → ΙcΥgC → ΘVΥnD → ΗbΥhE → ΖUΥoF → ΕaΥiG → ΔTΥpH → ΓZΥjI → ΒSΥqJ → ΑYΥkK → zRΥrL → yXΥlM → xQΥsN → wWΥmO → vPΥtP → uVΥnQ → tOΥuR → vSΥqP → uSΥqQ → tRΥrR → sRΥrS → sPΥtS
6275 max steps3000LW → WL2Ρyo → ΟdHΒg6 → Ιk2ΡZC → ΟwAΙN6 → ΙyYkLC → wdBΘgO → wY2ΡlO → ΟYCΗl6 → ΙuCΗPC → wuUoPO → YVJzom → gJDΖΑe → sh1ΣcS → ΡQ4Οt4 → ΝΛSq98 → ΕΒNvIG → ojXlaW → IE8ΛΖΓ → ΓrjZSI → kP9Κua → ΑV9ΚoK → ΑgIΑdK → ig2Ρdc → Ο62ΡΞ6 → ΟΙΗCB6 → ΙxtPMC → wbTpiO → YM6Νxm → ΗbDΖiE → tr6ΝSR → ΗSOurE → sWOunS → WQGΓto → mTHΒqY → kNDΖwa → sZ9ΚkS → ΑQAΙtK → ygSqdM → cO2Ρvi → ΟX5Ξm6 → ΚΘEΕCB → yvpTOM → cXLxmi → cF5ΞΕi → Ιp5ΞUC → ΙwKyNC → weYkfO → YC0ΤΘm → ΤvDΖO2 → ΡsWmR4 → ΝRFΔs8 → ΕoQsVG → oSIΑrW → iPHΒuc → kV5Ξoa → ΙJ9ΚΑC → ΑwgcNK → gZ3Πke → ΝB1ΣΙ8 → ΡΕwMF4 → ΝpZjU8 → ΕL9ΚyG → ΑocgVK → gJ3ΠΑe → Νh1Σc8 → ΡΕ4ΟF4 → ΝΛoU98 → ΕΒJzIG → ojfdaW → I91ΣΛΓ → ΡΒjZI4 → Νj9Κa8 → ΕΑ8ΛJG → ΓogcVI → kJ3ΠΑa → Νh9Κc8 → ΕΑ4ΟJG → ΛogcVA → ΑJ3ΠΑK → Νhfdc8 → Ε51ΣΟG → ΡΚnVA4 → ΝzHΒK8 → ΕkeeZG → oAΥΥΙW → ΚnJzWB → ygGΓdM → mc2ΡhY → ΟE4ΟΖ6 → ΛΙqSBA → ΑxNvMK → gbXlie → E71ΣΝΗ → ΡΖrRE4 → ΝrPtS8 → ΕUOupG → oWKynW → eIGΓΒg → mj1ΣaY → ΡE8ΛΖ4 → ΝΓqSH8 → ΕlNvYG → oYCΗlW → uICΗΒQ → ujTpaQ → UM8Λxq → ΓbLxiI → kc6Νha → ΗA4ΟΚE → ΛzrRKA → ΑfPteK → gU0Τpe → ΤL1Σy2 → ΣΠcg43 → ΟΜ3Π86 → ΝΙΓGB8 → ΕxlXMG → obDΖiW → sI6ΝΒS → ΗjPtaE → sU8ΛpS → ΓQKytI → keSqfa → OA0ΤΚw → ΤzXlK2 → ΡfDΖe4 → Νs0ΤR8 → ΤΕQsF2 → ΡpRrU4 → ΝQKyt8 → ΕeSqfG → oO0ΤvW → ΤXHΒm2 → ΡkEΕZ4 → ΝqAΙT8 → ΕyMwLG → odZjgW → IA2ΡΚΓ → ΟzjZK6 → Ιf9ΚeC → Αw0ΤNK → ΤgYkd2 → ΡC2ΡΘ4 → ΟΝuO76 → ΙΖVnEC → wrHΒSO → kYOula → WD9ΚΗo → ΑtHΒQK → kgSqda → OA2ΡΚw → ΟzXlK6 → ΙfDΖeC → ws0ΤRO → ΤYQsl2 → ΡSCΗr4 → ΝuOuP8 → ΕWUonG → oKGΓzW → mfHΒeY → kE0ΤΖa → Τr9ΚS2 → ΡΑOuJ4 → ΝhVnc8 → ΕI4ΟΒG → ΛoiaVA → ΑJ7ΜΑK → ΕhfdcG → o51ΣΟW → ΡΚHΒA4 → ΝzjZK8 → Εf9ΚeG → Αo0ΤVK → ΤgIΑd2 → Ρi2Ρb4 → ΟΝ6Ν76 → ΙΗΕEDC → wtpTQO → YTLxqm → cNDΖwi → sZ5ΞkS → ΙQAΙtC → ywSqNM → cZNvki → YB5ΞΙm → ΙxDΖMC → wsaiRO → YR7Μsm → ΕRDΖsG → soQsVS → SQIΑts → iTPtqc → UN5Ξwq → ΙZLxkC → wcAΙhO → yY4ΟlM → ΛcCΗhA → Αu4ΟPK → ΛgUodA → ΑK2ΡzK → Οgeed6 → Ι2ΥΥΡC → ΣΘ7ΜC3 → ΟΕuOF6 → ΙpVnUC → wLHΒyO → kdXlga → EA2ΡΚΗ → ΟzrRK6 → ΙfPteC → wU0ΤpO → ΤYKyl2 → ΡeCΗf4 → Νu0ΤP8 → ΤΕUoF2 → ΡpJzU4 → ΝgKyd8 → Εe2ΡfG → Οo0ΤV6 → ΤΙIΑB2 → ΡxhbM4 → Νb5Ξi8 → ΙΕ6ΝFC → ΗwoUNE → sZJzkS → gQAΙte → yT1ΣqM → ΡcMwh4 → Νa4Οj8 → ΛΕ8ΛFA → ΓΑoUJI → khJzca → gA4ΟΚe → Λz1ΣKA → ΡΑeeJ4 → ΝgΥΥc8 → ΜhVnc9 → ΓI4ΟΒI → ΛkiaZA → ΑB7ΜΙK → ΕxfdMG → ob1ΣiW → ΡI6ΝΒ4 → ΝΗiaD8 → Εt7ΜQG → ΕoSqVG → oOIΑvW → iXHΒmc → kF5ΞΕa → Ιp9ΚUC → ΑwKyNK → geYkfe → C20ΤΣΙ → ΤΠvN42 → ΡΜXl84 → ΝΔDΖG8 → ΕsmWRG → oRFΔsW → oRHΒsW → kRHΒsa → kR9Κsa → ΑR9ΚsK → ΑgQsdK → gS2Ρre → ΟP1Σu6 → ΡΙUoB4 → ΝxJzM8 → ΕgaidG → o82ΡΜW → ΟΔHΒG6 → ΙnjZWC → wH9ΚΓO → ΑlXlYK → gECΗΖe → ur1ΣSQ
736 max steps600000e → e5ΥΥΥΞg → ΟfcΥge6 → Ξc1ΥΣh7 → ΤΛaΥi92 → ΣΚZΥjA3 → ΡΘZΥjC4 → ΠΕXΥlF5 → ΟΑWΥmJ6 → ΞvTΥpO7 → ΝpRΥrU8 → ΜlMΥwY9 → ΛpNΥvUA → ΚnQΥsWB → ΙjLΥxaC → ΘnMΥwWD → ΗlPΥtYE → ΖhKΥycF → ΕlLΥxYG → ΔjOΥuaH → ΓfJΥzeI → ΒjKΥyaJ → ΑhNΥvcK → zdIΥΑgL → ΒfLΥxeJ → ΑgIΥΑdK → ΒgMΥwdJ → ΑfIΥΑeK → ΒgLΥxdJ → ΑgJΥzdK → ΑgLΥxdK → zfJΥzeL → ΑeKΥyfK → zgJΥzdL → ΑeLΥxfK → zfIΥΑeL → ΒfKΥyeJ