Base 95: 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
27 max steps10 → 0ι → θ1 → ζ3 → β7 → ΣF → ΒV →
348 max steps100 → 0ιι → θι1 → ηι2 → ζι3 → ει4 → δι5 → γι6 → βι7 → αι8 → Ωι9 → ΨιA → ΧιB → ΦιC → ΥιD → ΤιE → ΣιF → ΡιG → ΠιH → ΟιI → ΞιJ → ΝιK → ΜιL → ΛιM → ΚιN → ΙιO → ΘιP → ΗιQ → ΖιR → ΕιS → ΔιT → ΓιU → ΒιV → ΑιW → zιX → yιY → xιZ → wιa → vιb → uιc → tιd → sιe → rιf → qιg → pιh → oιi → nιj → mιk → lιl
44 max stepsm000 → lιιl → lklm → 1ιιθ → θ0θ2
537 max stepsk0000 → jιιιn → niιnk → o2ιζj → ηjιm3 → ζkιl4 → εiιn5 → δjιm6 → γhιo7 → βiιn8 → αgιp9 → ΩhιoA → ΨfιqB → ΧgιpC → ΦeιrD → ΥfιqE → ΤdιsF → ΣeιrG → ΡcιtH → ΠdιsI → ΟbιuJ → ΞcιtK → ΝaιvL → ΜbιuM → ΛZιwN → ΚaιvO → ΙYιxP → ΘZιwQ → ΗXιyR → ΖYιxS → ΕWιzT → ΔXιyU → ΓVιΑV → ΒWιzW → ΑUιΒX → ΓTιΓV → ΔWιzU → ΓWιzV
6190 max stepsL000RT → TRKΜΖΕ → reavsg → LEAΧΤΝ → ΜΕqfSM → pcAΧui → ΜI6βΟM → ΥwohaE → ΖM6βΛS → ΥoctiE → ΖH5γΠS → ΧyctYC → ΚQGΠΗO → zlfqlY → RAιιΧΗ → ΨΖEΣRB → ΜΔdsTM → paEΣwi → ΔM6βΛU → ΥoYxiE → ΖP5γΘS → ΧictoC → ΚH5γΠO → ΧyklYC → ΚQ0θΗO → θlfql2 → ζAιιΧ4 → εΨ7αA5 → ΩΣΜKFA → ΞΓqfUK → tYAΧye → ΜQEΣΗM → ΔpfqhU → ZB7αΧy → ΣΛOΘMG → ΒoiniW → V64δγΓ → ΩΦWzCA → ΞΙSΔOK → tkavme → LF1ηΣΝ → ζΓqfU4 → βYAΧy8 → ΣΜPΗLG → ΒqgpgW → VA8ΩΨΓ → ΠΝWzKI → xsSΔea → bNDΤΚw → ΖmKΜkS → rd1ηtg → ζGAΧΡ4 → βΜzWL8 → ΣqSΔgG → Βb9ΨvW → ΞVJΝΒK → usVΑed → VHDΤΠΓ → ΖyWzYS → dTPΗΔu → haGΠwq → zM8ΩΛY → ΠoQΖiI → xf5γra → ΧNBΦΚC → ΛΙlkON → nk0θmk → θ31ηζ2 → ηεβ643 → δαΤD86 → ΧΡΕRGC → ΚΑctWO → lUGΠΓm → zY0θyY → θRPΗΖ2 → ζhdsp4 → βF7αΣ8 → ΤΡΒUGF → ΔΑWzWU → ZUSΔΓy → bYOΘyw → jQKΜΗo → rg4δqg → ΩB9ΨΧA → ΟΝΚMKJ → vsmjec → JE2ζΤΟ → δΕubS6 → ΧcIΞuC → ΚvHΟbO → xlJΝla → tMιιΚe → ΛsFΡeN → ΒnDΤjW → ΖV3εΒS → βdVΑt8 → ΣVFΡΒG → ΓΑVΑWV → XVTΓΒΑ → ZWSΔΑy → bUOΘΓw → jYKΜyo → rQ4δΗg → ΩgAΧqA → ΞΜ9ΨLK → ΞtpgdK → tG8ΩΡe → ΠΑEΣWI → ΔxTΓZU → aYNΙyx → lQMΚΗm → ng0θqk → θA2ζΨ2 → ζδΜK54 → βΨqfA8 → ΣΝAΧKG → ΜΒreVM → pWCΥΑi → ΘU6βΓQ → ΥhXypE → ΖR7αΖS → ΣectsG → ΒHDΤΠW → ΖyUΒYS → dXPΗzu → hSGΠΕq → zc8ΩuY → ΠRHΟΖI → ywdsaZ → PMEΣΛΙ → ΔoiniU → Z64δγy → ΩΦOΘCA → ΞΙinOK → tk4δme → ΩF1ηΣA → ζΞΒUJ4 → βuWzc8 → ΣTHΟΔG → ΒxZwZW → VOMΚΙΓ → nkWzmk → T31ηζΕ → ζγav64 → βΦKΜC8 → ΣΙqfOG → ΒkAΧmW → ΜV1ηΒM → ζpVΑh4 → βV7αΒ8 → ΤΡVΑGF → ΔΑUΒWU → ZXTΓzy → ZSOΘΕy → jcOΘuo → jI4δΟo → Ωw4δaA → ΩΞLΛJA → ΞuohcK → tI6βΟe → ΥwEΣaE → ΖΔLΛTS → pdZwti → NG6βΡΛ → ΥΑmjWE → ΖU2ζΓS → δdXyt6 → ΧRFΡΖC → ΚΒdsVO → lWEΣΑm → ΔU0θΓU → θZXyx2 → ζRNΙΖ4 → βldsl8 → ΣEιιΣG → ΤΠιιGF → ΣΡ2ζGG → δΒzWV6 → ΧWSΔΑC → ΚbTΓvO → lZJΝxm → tO0θΙe → θkEΣm2 → ζΔ1ηT4 → ζβZw74 → βΤMΚE8 → ΣΕmjSG → Βc2ζuW → δVHΟΒ6 → ΧxVΑZC → ΚVNΙΒO
748 max stepsf00000l → leιιιrm → sljιmlf → r90ιθΩg → ιΨgιpA1 → θΨfιqA2 → ηΧgιpB3 → ζΥeιrD4 → εΡeιrG5 → δΝbιuK6 → γΘaιvP7 → βΒWιzV8 → αuUιΒc9 → ΩuOιΘcA → ΨzUιΒXB → ΧsTιΓeC → ΦsNιΙeD → ΥxTιΓZE → ΤqSιΔgF → ΣqMιΚgG → ΡvSιΔbH → ΠoRιΕiI → ΟoLιΛiJ → ΞtRιΕdK → ΝmQιΖkL → ΜmKιΜkM → ΝpQιΖhL → ΜmNιΙkM → ΛoNιΙiN → ΚnPιΗjO → ΙkMιΚmP → ΛkNιΙmN → ΚnNιΙjO → ΚlOιΘlO → ΙlLιΛlP → ΜlMιΚlM → ΛpNιΙhN → ΚnQιΖjO → ΙjLιΛnP → ΜlOιΘlM → ΛnLιΛjN → ΜnQιΖjM → ΛlLιΛlN → ΜnOιΘjM → ΛnNιΙjN → ΚnOιΘjO → ΙlNιΙlP → ΚjMιΚnO → ΛlPιΗlN