Project Euler Problem 92
I had to approach this by modifying the factors function from p0003, but it
seemed to work fairly well.
Problem:
A number chain is created by continuously adding the square of the digits in a
number to form a new number until it has been seen before.
For example,
44 → 32 → 13 → 10 → 1 → 1
85 → 89 → 145 → 42 → 20 → 4 → 16 → 37 → 58 → 89
Therefore any chain that arrives at 1 or 89 will become stuck in an endless
loop. What is most amazing is that EVERY starting number will eventually arrive
at 1 or 89.
How many starting numbers below ten million will arrive at 89?