statement.html
problem 12 · 16 lines
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<p>The sequence of triangle numbers is generated by adding the natural numbers. So the $7$<sup>th</sup> triangle number would be $1 + 2 + 3 + 4 + 5 + 6 + 7 = 28$. The first ten terms would be:
$$1, 3, 6, 10, 15, 21, 28, 36, 45, 55, \dots$$</p>
<p>Let us list the factors of the first seven triangle numbers:</p>
$$\begin{align}
\mathbf 1 &\colon 1\\
\mathbf 3 &\colon 1,3\\
\mathbf 6 &\colon 1,2,3,6\\
\mathbf{10} &\colon 1,2,5,10\\
\mathbf{15} &\colon 1,3,5,15\\
\mathbf{21} &\colon 1,3,7,21\\
\mathbf{28} &\colon 1,2,4,7,14,28
\end{align}$$
<p>We can see that $28$ is the first triangle number to have over five divisors.</p>
<p>What is the value of the first triangle number to have over five hundred divisors?</p>
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