The sequence of triangle numbers is generated by adding
the natural numbers. So the 7th triangle number would be
\(1 + 2 + 3 + 4 + 5 + 6 + 7 = 28\). The first ten terms would be:

\[1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...\]

Let us list the factors of the first seven triangle numbers:

We can see that 28 is the first triangle number to have over
five divisors. What is the value of the first triangle number
to have over five hundred divisors?