Base 87: 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
25 max steps10 → 0α → Ω1 → Χ3 → Σ7 → ΚF
344 max steps100 → 0αα → Ωα1 → Ψα2 → Χα3 → Φα4 → Υα5 → Τα6 → Σα7 → Ρα8 → Πα9 → ΟαA → ΞαB → ΝαC → ΜαD → ΛαE → ΚαF → ΙαG → ΘαH → ΗαI → ΖαJ → ΕαK → ΔαL → ΓαM → ΒαN → ΑαO → zαP → yαQ → xαR → wαS → vαT → uαU → tαV → sαW → rαX → qαY → pαZ → oαa → nαb → mαc → lαd → kαe → jαf → iαg → hαh
44 max stepsi000 → hααh → hghi → 1ααΩ → Ω0Ω2
537 max stepsh0000 → gαααi → ifαih → j0αΩg → αgαh1 → Ωhαg2 → Ψgαh3 → Χfαi4 → Φfαi5 → Υeαj6 → Τeαj7 → Σdαk8 → Ρdαk9 → ΠcαlA → ΟcαlB → ΞbαmC → ΝbαmD → ΜaαnE → ΛaαnF → ΚZαoG → ΙZαoH → ΘYαpI → ΗYαpJ → ΖXαqK → ΕXαqL → ΔWαrM → ΓWαrN → ΒVαsO → ΑVαsP → zUαtQ → yUαtR → xTαuS → wTαuT → vSαvU → wQαxT → yTαuR → xUαtS → wSαvT
6227 max steps20000α → α1ααΨ1 → ΩΩ1Ψ12 → ΨΨΥ423 → ΦΥΟ955 → ΠΟΕJAA → ΖΕkdKK → lk6Σee → Μ75ΤΣE → ΞΛwREC → ΒwUtSO → dUOzum → bQ8Πyo → ΘYCΜqI → zpHΗZQ → pZFΙpa → tGEΚΙW → vsMΒWU → fRLΓxk → hW4Υsi → ΠM0ΩΓA → ΩΖfiJ2 → Χm2Χc4 → ΥΣ9Ο76 → ΞΛΕJEC → ΒwkdSO → dU6Σum → ΜQ8ΠyE → ΘxXqRI → pWIΖsa → nMEΚΓc → vgAΞiU → ΔR1ΨxM → ΧhVsh4 → ΣMααΒ8 → ΡΓFΙM9 → ΘtfiVI → pO2ΧΑa → ΥcEΚm6 → Ξv9ΟTC → ΖΒRwNK → leUtke → P75ΤΣΑ → ΞΛanEC → ΒwCΜSO → zdTulQ → ZR7Ρxq → ΚWGΘsG → trLΓXW → hNJΕΒi → le0Ωke → Ω75ΤΣ2 → ΧΞΚEB4 → ΣΓuTM8 → ΚgQxiG → tX1ΨrW → ΧNJΕΒ4 → Σldkd8 → Κ86ΣΡG → ΜΙsVGE → xsMΒWS → fVLΓtk → hO4ΥΑi → Πc0ΩmA → ΩΖ9ΟJ2 → ΧΖlcJ4 → Σm8Πc8 → ΚΘ9ΟHG → ΖtpYVK → lOGΘΑe → rc6ΣmY → ΜJ9ΟΖE → ΖxlcRK → lW8Πse → ΘM6ΣΓI → ΜpfiZE → xG2ΧΙS → ΥsUtW6 → ΞPLΓzC → ΒhZohO → dEααΚm → ΛlMΒdF → vf7ΡjU → ΚR3ΦxG → ΣtVsV8 → ΚOMΒΑG → tfbmjW → NB3ΦΞΓ → ΣΓejM8 → Κg4ΥiG → Πt1ΨVA → ΧΖNΑJ4 → Σmclc8 → ΚA8ΠΟG → ΘΕsVKI → pkMΒea → fF5ΤΚk → Ξu4ΥUC → ΠΒPyNA → ΖeYpkK → lH5ΤΘe → Ξq6ΣYC → ΜΒHΗNE → xpdkZS → VG6ΣΙu → ΜsOzWE → xbLΓnS → hVBΝti → ΒO0ΩΑO → Ωdbml2 → ΧB7ΡΞ4 → ΣΚΒMF8 → ΚuejUG → tQ4ΥyW → ΠYMΒqA → ΖfHΗjK → pl3Φda → ΣF7ΡΚ8 → ΛΙtUGF → vsOzWU → bRLΓxo → hWCΜsi → zM0ΩΓQ → ΩgYpi2 → ΧH1ΨΘ4 → ΧΣpY74 → ΣΛGΘE8 → ΚwqXSG → tUIΖuW → nQMΒyc → fYAΞqk → ΔI4ΥΗM → ΠoghaA → ΖE0ΩΛK → ΩwkdS2 → ΧU6Σu4 → ΣΜPyD8 → ΚyYpQG → tYGΘqW → rNHΗΒY → peIΖka → nF5ΤΚc → ΞuAΞUC → ΔΒPyNM → heYpki → H60ΩΤΙ → ΩΝqXC2 → ΧΑIΖO4 → Σnbmb8 → ΚCAΞΝG → ΔΑsVOM → hcMΒmi → fA0ΩΟk → ΩΕ4ΥK2 → ΧΠje94 → ΣΗ4ΥI8 → ΠΚnaFA → ΖuCΜUK → zlPydQ → aY7Ρqp → ΚIEΚΗG → vtnaVU → ROCΜΑy → zcWrmQ → ZL9ΟΔq → ΖiGΘgK → rl1ΨdY → ΧJ7ΡΖ4 → ΣΚlcF8 → Κu8ΠUG → ΘtPyVI → pZNΑpa → dGEΚΙm → vs8ΠWU → ΘRLΓxI → phVsha → NEααΚΓ → ΛΒ6ΣNF → ΜvdkTE → xS6ΣwS → ΜVTutE → xRNΑxS → dWUtsm → PM8ΠΓΑ → ΘganiI → pD1ΨΜa → ΧyEΚQ4 → ΣvXqT8 → ΚSIΖwG → tnTubW → RNBΝΒy → ΒeWrkO → dL5ΤΔm → Ξi8ΠgC → ΘΒ1ΨNI → ΧpdkZ4 → ΣG6ΣΙ8 → ΜΚrWFE → xuKΔUS → jVPytg → ZO2ΧΑq → ΥcGΘm6 → Ξr9ΟXC → ΖΒJΕNK → mkdked → 975ΤΣΡ → ΞΛΗHEC → ΒwoZSO → dUEΚum → vQ8ΠyU → ΘYQxqI → pXHΗra → pKEΚΕa → vkEΚeU → vR5ΤxU → ΞWQxsC → ΒXLΓrO → hdJΕli → l80ΩΡe → ΩΙ6ΣG2 → ΧΜrWD4 → ΣyKΔQ8 → ΚjXqfG → tJ3ΦΖW → ΣmMΒc8 → Κf9ΟjG → Ζt3ΦVK → ΣlNΑd8
747 max steps400000h → h3αααΦi → Χhfαih4 → Φg0αΩi5 → αΤdαk61 → ΩΤeαj62 → ΨΣdαk73 → ΧΠdαk94 → ΦΝbαmC5 → ΥΙaαnG6 → ΤΔXαqL7 → ΣxVαsR8 → ΡqRαwY9 → ΠpNαΑZA → ΟsQαxWB → ΞoQαxaC → ΝnMαΒbD → ΜqPαyYE → ΛmPαycF → ΚlLαΓdG → ΙoOαzaH → ΘkOαzeI → ΗjKαΔfJ → ΖmNαΑcK → ΕiNαΑgL → ΔhJαΕhM → ΖiLαΓgK → ΕkLαΓeL → ΔjNαΑfM → ΓgKαΔiN → ΕgLαΓiL → ΔjLαΓfM → ΔhMαΒhM → ΓhJαΕhN → ΖhKαΔhK → ΕlLαΓdL → ΔjOαzfM → ΓfJαΕjN → ΖhMαΒhK → ΕjJαΕfL → ΖjOαzfK → ΕhJαΕhL → ΖjMαΒfK → ΕjLαΓfL → ΔjMαΒfM → ΓhLαΓhN → ΔfKαΔjM → ΕhNαΑhL