Base 64: Summary: Odd Digit Sets

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ

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)
1640 fixed pts0 cycles0 nodes0.98 avg steps1 max steps1.98 avg steps2 max steps0 final numbers
345,7601 fixed pt 1 cycle 1 node 13.64 avg steps33 max steps14.64 avg steps34 max steps1 final number 
510,424,1280 fixed pts3 cycles4 nodes13.62 avg steps27 max steps16.96 avg steps30 max steps9 final numbers
71,198,774,7201 fixed pt 2 cycles19 nodes12.50 avg steps26 max steps28.86 avg steps45 max steps20 final numbers