Base 125: Summary: All Digit Sets

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ
λμνξοπρςστυφχψωА
БВГДЕЖЗИЙКЛМНОПР

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)
11250 fixed pts0 cycles0 nodes0.99 avg steps1 max steps1.99 avg steps2 max steps0 final numbers
27,8751 fixed pt 7 cycles6 nodes2.22 avg steps3 max steps7.38 avg steps9 max steps31 final numbers
3333,3750 fixed pts1 cycle 2 nodes24.60 avg steps63 max steps26.60 avg steps65 max steps2 final numbers
410,668,0001 fixed pt 45 cycles50 nodes1.78 avg steps4 max steps50.04 avg steps54 max steps1,891 final numbers
5275,234,4000 fixed pts1 cycle 4 nodes24.03 avg steps47 max steps28.03 avg steps51 max steps4 final numbers
65,963,412,0002 fixed pts30 cycles38 nodes178.38 avg steps534 max steps189.13 avg steps546 max steps233 final numbers