Base 71: 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)
1710 fixed pts0 cycles0 nodes0.99 avg steps1 max steps1.99 avg steps2 max steps0 final numbers
22,5561 fixed pt 2 cycles3 nodes3.91 avg steps5 max steps6.22 avg steps8 max steps4 final numbers
362,1960 fixed pts1 cycle 2 nodes14.45 avg steps36 max steps16.45 avg steps38 max steps2 final numbers
41,150,6260 fixed pts17 cycles35 nodes1.80 avg steps4 max steps36.80 avg steps39 max steps595 final numbers
517,259,3900 fixed pts1 cycle 4 nodes14.58 avg steps29 max steps18.58 avg steps33 max steps4 final numbers
6218,618,9401 fixed pt 6 cycles50 nodes32.02 avg steps98 max steps63.83 avg steps148 max steps95 final numbers
72,404,808,3400 fixed pts1 cycle 8 nodes18.34 avg steps44 max steps26.34 avg steps52 max steps8 final numbers