The sequence of triangle numbers is generated by adding the natural numbers. So the
Let us list the factors of the first seven triangle numbers:
\begin{align} \mathbf 1 &\colon 1\\ \mathbf 3 &\colon 1,3\\ \mathbf 6 &\colon 1,2,3,6\\ \mathbf{10} &\colon 1,2,5,10\\ \mathbf{15} &\colon 1,3,5,15\\ \mathbf{21} &\colon 1,3,7,21\\ \mathbf{28} &\colon 1,2,4,7,14,28 \end{align}We can see that
What is the value of the first triangle number to have over five hundred divisors?
Published: | Friday, 8th March 2002, 01:00 pm |
Difficulty rating: | 5% |
Overview (PDF): | problem 12 |
Forum problem: | problem 12 |