Base 104: Summary: All Digit Sets

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ
λμνξοπρςστυφχψωА

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)
11040 fixed pts0 cycles0 nodes0.99 avg steps1 max steps1.99 avg steps2 max steps0 final numbers
25,4601 fixed pt 8 cycles12 nodes1.48 avg steps2 max steps10.89 avg steps14 max steps52 final numbers
3192,9201 fixed pt 1 cycle 1 node 21.16 avg steps53 max steps22.16 avg steps54 max steps1 final number 
45,160,6100 fixed pts3 cycles6 nodes5.89 avg steps13 max steps11.22 avg steps19 max steps15 final numbers
5111,469,1760 fixed pts2 cycles4 nodes20.32 avg steps41 max steps24.32 avg steps45 max steps6 final numbers
62,025,023,3642 fixed pts13 cycles227 nodes74.49 avg steps221 max steps250.77 avg steps448 max steps380 final numbers