Base 96: Summary: All Digit Sets

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ

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)
1960 fixed pts0 cycles0 nodes0.99 avg steps1 max steps1.99 avg steps2 max steps0 final numbers
24,6560 fixed pts2 cycles24 nodes1.48 avg steps2 max steps25.00 avg steps26 max steps48 final numbers
3152,0961 fixed pt 1 cycle 1 node 19.65 avg steps49 max steps20.65 avg steps50 max steps1 final number 
43,764,3760 fixed pts1 cycle 18 nodes6.43 avg steps13 max steps24.43 avg steps31 max steps18 final numbers
575,287,5201 fixed pt 2 cycles2 nodes21.27 avg steps40 max steps22.27 avg steps41 max steps3 final numbers
61,267,339,9201 fixed pt 5 cycles126 nodes75.93 avg steps263 max steps190.05 avg steps389 max steps177 final numbers
718,466,953,1201 fixed pt 2 cycles19 nodes17.00 avg steps34 max steps33.79 avg steps53 max steps20 final numbers