Base 75: Maximum Iteration Sequences: Cycle Start

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
Cycle Start
11 max steps10
24 max steps10 → 0Ν → Μ1 → Κ3 → Ζ7
338 max steps100 → 0ΝΝ → ΜΝ1 → ΛΝ2 → ΚΝ3 → ΙΝ4 → ΘΝ5 → ΗΝ6 → ΖΝ7 → ΕΝ8 → ΔΝ9 → ΓΝA → ΒΝB → ΑΝC → zΝD → yΝE → xΝF → wΝG → vΝH → uΝI → tΝJ → sΝK → rΝL → qΝM → pΝN → oΝO → nΝP → mΝQ → lΝR → kΝS → jΝT → iΝU → hΝV → gΝW → fΝX → eΝY → dΝZ → cΝa → bΝb
44 max stepsc000 → bΝΝb → babc → 1ΝΝΜ → Μ0Μ2
534 max steps10000 → 0ΝΝΝΝ → ΜΝΝΝ1 → Μ0ΝΜ2 → ΝΙΝ31 → ΜΙΝ32 → ΛΘΝ43 → ΚΖΝ64 → ΙΓΝ95 → ΘyΝD6 → ΗtΝI7 → ΖnΝO8 → ΕgΝV9 → ΔYΝdA → ΓUΝhB → ΒXΝeC → ΑTΝiD → zWΝfE → ySΝjF → xVΝgG → wRΝkH → vUΝhI → uQΝlJ → tTΝiK → sPΝmL → rSΝjM → qOΝnN → pRΝkO → oNΝoP → pOΝnO → oQΝlP → nNΝoQ → pNΝoO → pQΝlO → oOΝnP
6107 max stepsc00000 → bΝΝΝΝb → baΝΝbc → cb0Μbb → Μ0ΝΝΜ2 → ΝΚΝΝ21 → ΜΛ2Κ22 → ΚΙΗ544 → ΖΕΑB88 → xwoNGG → hgQlWW → LB9ΓΒs → tqWfMK → ZU8Δie → vE4ΘyI → ΔkcZSA → tI2ΚuK → ΘcYda6 → Β51ΛΘC → ΚΓoNA4 → ΖsQlK8 → xYKreG → hX5ΗfW → ΒB7ΕΒC → xqoNMG → hUQliW → LEAΒys → rkWfSM → VI8Δui → vcCzaI → nd1ΛZQ → ΚN3Ιp4 → ΗΕRk87 → zwItGE → lgabWS → JA0ΜΓu → ΜsabK2 → ΚY0Μe4 → ΜΖ5Η72 → ΚΒxEB4 → ΖqiTM8 → xUExiG → jhDyVU → lFBΑxS → piItUO → bRDylc → lK0ΜsS → ΜYIte2 → Κb5Ηb4 → ΖΑΝΝB8 → ΕΒ4ΘB9 → ΔvpMHA → teSjYK → ZH5Ηve → Βe4ΘYC → Δp5ΗNA → ΒtRkJC → paItcO → bR1Λlc → ΚK0Μs4 → ΜΖXe72 → Κy6ΖE4 → ΖzjSD8 → xmGvQG → hfLqXW → VB7ΕΒi → xqCzMG → nhTiVQ → NFBΑxq → piSjUO → RHDyvm → leKrYS → XJ5Ηtg → Βa8ΔcC → vp1ΛNI → ΚdRkZ4 → ΖJ3Ιt8 → ΖxZcF8 → xi2ΚUG → ΘhDyV6 → ΒlBΑRC → qoJsON → ZTPmje → NG4Θwq → ΔgSjWA → tH9ΓvK → teYdYK → Z64ΘΗe → ΔΑ4ΘCA → ΔtnOJA → taOncK → ZP1Λne → ΚO4Θo4 → ΖΔPm98 → xuMpIG → hcSjaW → HB1ΛΒw → ΚqeXM4 → ΖU6Ζi8 → zxDyFE → mkhUSR → LICzus → ncWfaQ → N91ΛΔq → ΚuSjI4 → ΖcGva8 → xf1ΛXG → Κh7ΕV4
743 max stepsS00000b → bRΝΝΝkc → lbZΝcbS → kC0ΝΜΑT → ΝzWΝfD1 → ΜzSΝjD2 → ΛyWΝfE3 → ΚwRΝkG4 → ΙtUΝhJ5 → ΘpOΝnN6 → ΗkQΝlS7 → ΖgIΝtW8 → ΕnMΝpP9 → ΔiPΝmUA → ΓeHΝuYB → ΒlLΝqRC → ΑgOΝnWD → zcGΝvaE → yjKΝrTF → xeNΝoYG → waFΝwcH → xfLΝqXG → wcIΝtaH → veIΝtYI → udKΝrZJ → taHΝucK → vaIΝtcI → udIΝtZJ → ubJΝsbJ → tbGΝvbK → wbHΝubH → vfIΝtXI → udLΝqZJ → tZGΝvdK → wbJΝsbH → vdGΝvZI → wdLΝqZH → vbGΝvbI → wdJΝsZH → vdIΝtZI → udJΝsZJ → tbIΝtbK → uZHΝudJ → vbKΝrbI