#216 in votechess!
Hooray! Our goal right now is #208th place or better. But let's talk about 216, and other cube numbers.
First 16 Cubes:
- 1^3=1
- 2^3=8
- 3^3=27
- 4^3=64
- 5^3=125
- 6^3=216
- 7^3=343
- 8^3=512
- 9^3=729
- 10^3=1000
- 11^3=1331
- 12^3=1728
- 13^3=2197
- 14^3=2744
- 15^3=3375
- 16^3=4096
=Happy Number
Units digit:
Ends with one, cube ends with 1.
End with two, cube ends with 8.
3, 7
4, 4
5, 5
6, 6
7, 3
8, 2
9, 9
0, 0
Now let's go further.
If the unit digit ends in a 5, we can actually conclude the last 3 digits of the cube are either 125, 375, 625, or 875. Those are just the odd multiples of 125 less than 1000.
If the unit digit ends in a 0, we can conclude the last 3 of the cube are all 0s.
If the unit digit ends in a 2, the cube must be a multiple of 3.
Double-check that your cube can be written as a product of cubes.
