Base 98: 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)
1980 fixed pts0 cycles0 nodes0.99 avg steps1 max steps1.99 avg steps2 max steps0 final numbers
24,8511 fixed pt 7 cycles15 nodes1.48 avg steps2 max steps12.20 avg steps17 max steps49 final numbers
3161,7001 fixed pt 1 cycle 1 node 20.03 avg steps50 max steps21.03 avg steps51 max steps1 final number 
44,082,9250 fixed pts14 cycles21 nodes2.86 avg steps7 max steps23.67 avg steps28 max steps276 final numbers
583,291,6700 fixed pts2 cycles4 nodes19.27 avg steps39 max steps23.27 avg steps43 max steps6 final numbers
61,429,840,3352 fixed pts13 cycles179 nodes110.83 avg steps323 max steps287.54 avg steps502 max steps252 final numbers
721,243,342,1200 fixed pts1 cycle 4 nodes22.47 avg steps41 max steps26.47 avg steps45 max steps4 final numbers