This cache has become the first in the 'Think of a Number' series of mathematically-themed puzzles. Although this cache stands alone, each of the others presents its coordinates as an offset from the previous cache in the series, so to find one, you will also need to have solved all of the previous puzzles.
I have a favourite number. I was first drawn to it by its intimate relationship with a particular prime, but I've since discovered it has a few more interesting properties:
- Its square can be split into two parts that sum to the original number
(such as 703: 7032 = 494209; 494 + 209 = 703).
- If you multiply it by the number with the same digits reversed, this can also be spit into two parts that sum to the original
(such as 990: 990 * 099 = 98010; 980 + 10 = 990).
- And it is divisible by the sum of its digits
(such as 195: 1 + 9 + 5 = 15; 195 / 15 = 13).
There are a few numbers that satisfy all of these criteria, but only mine appears in a common approximation and can also help with self-development. What's not to like?!
(Assume N 51° 16 W 000° 38).
Congratulations on the FTF to Kermit&Co.