Base 94: 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)
1940 fixed pts0 cycles0 nodes0.99 avg steps1 max steps1.99 avg steps2 max steps0 final numbers
24,4650 fixed pts3 cycles36 nodes1.48 avg steps2 max steps30.26 avg steps38 max steps47 final numbers
3142,8801 fixed pt 1 cycle 1 node 19.28 avg steps48 max steps20.28 avg steps49 max steps1 final number 
43,464,8400 fixed pts11 cycles23 nodes2.86 avg steps7 max steps25.86 avg steps30 max steps253 final numbers
567,910,8640 fixed pts3 cycles4 nodes19.25 avg steps38 max steps22.59 avg steps41 max steps9 final numbers
61,120,529,2561 fixed pt 3 cycles53 nodes132.02 avg steps385 max steps170.64 avg steps392 max steps61 final numbers
716,007,560,8000 fixed pts1 cycle 4 nodes21.94 avg steps39 max steps25.94 avg steps43 max steps4 final numbers