Base 17: Summary: All Digit Sets

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV

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)
1170 fixed pts0 cycles0 nodes0.94 avg steps1 max steps1.94 avg steps2 max steps0 final numbers
21531 fixed pt 2 cycles3 nodes2.05 avg steps3 max steps4.31 avg steps6 max steps4 final numbers
39690 fixed pts1 cycle 2 nodes4.18 avg steps9 max steps6.17 avg steps11 max steps2 final numbers
44,8450 fixed pts8 cycles4 nodes1.98 avg steps4 max steps5.68 avg steps8 max steps28 final numbers
520,3490 fixed pts1 cycle 4 nodes5.63 avg steps11 max steps9.63 avg steps15 max steps4 final numbers
674,6131 fixed pt 1 cycle 1 node 15.49 avg steps40 max steps16.49 avg steps41 max steps1 final number 
7245,1570 fixed pts3 cycles4 nodes10.65 avg steps29 max steps12.76 avg steps31 max steps8 final numbers
8735,4710 fixed pts3 cycles5 nodes12.46 avg steps35 max steps16.27 avg steps39 max steps12 final numbers
92,042,9751 fixed pt 3 cycles7 nodes15.19 avg steps40 max steps21.95 avg steps47 max steps14 final numbers
105,311,7350 fixed pts1 cycle 24 nodes17.88 avg steps54 max steps41.88 avg steps78 max steps24 final numbers
1113,037,8950 fixed pts2 cycles18 nodes20.29 avg steps44 max steps29.13 avg steps55 max steps22 final numbers
1230,421,7550 fixed pts1 cycle 31 nodes14.47 avg steps48 max steps45.47 avg steps79 max steps31 final numbers
1367,863,9150 fixed pts2 cycles9 nodes12.88 avg steps38 max steps17.66 avg steps42 max steps13 final numbers
14145,422,6751 fixed pt 2 cycles32 nodes15.28 avg steps49 max steps47.26 avg steps81 max steps33 final numbers
15300,540,1952 fixed pts3 cycles2 nodes32.33 avg steps63 max steps33.34 avg steps64 max steps4 final numbers
16601,080,3900 fixed pts4 cycles16 nodes20.31 avg steps50 max steps31.65 avg steps66 max steps41 final numbers
171,166,803,1100 fixed pts6 cycles18 nodes12.78 avg steps51 max steps23.45 avg steps69 max steps37 final numbers
182,203,961,4301 fixed pt 4 cycles79 nodes18.76 avg steps64 max steps96.63 avg steps143 max steps87 final numbers
194,059,928,9500 fixed pts6 cycles11 nodes14.71 avg steps39 max steps20.04 avg steps50 max steps28 final numbers
207,307,872,1100 fixed pts4 cycles37 nodes28.36 avg steps103 max steps55.57 avg steps120 max steps77 final numbers