Base 79: Summary: All Digit Sets

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 # Start Numbers # Fixed Points
(excluding zero)
# Cycles
(including fixed)
(excluding zero)
Full Cycle
Max Length
Avg Steps
including
Cycle Start
Max Steps
including
Cycle Start
Avg Steps
including
Full Cycle
Max Steps
including
Full Cycle
# Final Numbers
(excluding zero)
1790 fixed pts0 cycles0 nodes0.99 avg steps1 max steps1.99 avg steps2 max steps0 final numbers
23,1600 fixed pts1 cycle 2 nodes4.78 avg steps6 max steps6.57 avg steps8 max steps2 final numbers
385,3200 fixed pts1 cycle 2 nodes15.96 avg steps40 max steps17.95 avg steps42 max steps2 final numbers
41,749,0600 fixed pts19 cycles39 nodes1.80 avg steps4 max steps40.80 avg steps43 max steps741 final numbers
529,034,3960 fixed pts2 cycles4 nodes16.44 avg steps32 max steps19.77 avg steps35 max steps7 final numbers
6406,481,5440 fixed pts5 cycles43 nodes31.53 avg steps125 max steps50.82 avg steps137 max steps84 final numbers
74,935,847,3200 fixed pts1 cycle 8 nodes19.62 avg steps45 max steps27.62 avg steps53 max steps8 final numbers