Base 102: 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)
11020 fixed pts0 cycles0 nodes0.99 avg steps1 max steps1.99 avg steps2 max steps0 final numbers
25,2530 fixed pts1 cycle 51 nodes1.48 avg steps2 max steps51.51 avg steps53 max steps51 final numbers
3182,1041 fixed pt 1 cycle 1 node 20.78 avg steps52 max steps21.78 avg steps53 max steps1 final number 
44,780,2300 fixed pts44 cycles8 nodes2.85 avg steps7 max steps10.27 avg steps15 max steps300 final numbers
5101,340,8761 fixed pt 2 cycles2 nodes22.33 avg steps43 max steps23.33 avg steps44 max steps3 final numbers
61,807,245,6221 fixed pt 4 cycles46 nodes271.15 avg steps639 max steps317.11 avg steps685 max steps59 final numbers