Base 74: 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)
1740 fixed pts0 cycles0 nodes0.99 avg steps1 max steps1.99 avg steps2 max steps0 final numbers
22,7751 fixed pt 5 cycles20 nodes1.47 avg steps2 max steps15.21 avg steps22 max steps37 final numbers
370,3001 fixed pt 1 cycle 1 node 15.52 avg steps38 max steps16.52 avg steps39 max steps1 final number 
41,353,2750 fixed pts9 cycles18 nodes2.92 avg steps7 max steps20.40 avg steps25 max steps153 final numbers
521,111,0900 fixed pts2 cycles4 nodes15.11 avg steps31 max steps19.11 avg steps35 max steps6 final numbers
6277,962,6851 fixed pt 5 cycles49 nodes145.62 avg steps320 max steps194.54 avg steps369 max steps64 final numbers
73,176,716,4000 fixed pts1 cycle 4 nodes19.10 avg steps36 max steps23.10 avg steps40 max steps4 final numbers