Base 100: 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)
11000 fixed pts0 cycles0 nodes0.99 avg steps1 max steps1.99 avg steps2 max steps0 final numbers
25,0500 fixed pts1 cycle 50 nodes1.48 avg steps2 max steps50.51 avg steps52 max steps50 final numbers
3171,7001 fixed pt 1 cycle 1 node 20.41 avg steps51 max steps21.41 avg steps52 max steps1 final number 
44,421,2751 fixed pt 8 cycles10 nodes4.14 avg steps10 max steps13.62 avg steps20 max steps66 final numbers
591,962,5200 fixed pts3 cycles4 nodes20.37 avg steps40 max steps23.70 avg steps43 max steps9 final numbers
61,609,344,1002 fixed pts7 cycles196 nodes64.55 avg steps226 max steps205.32 avg steps422 max steps468 final numbers
724,370,067,8001 fixed pt 2 cycles19 nodes17.54 avg steps35 max steps34.27 avg steps54 max steps20 final numbers