This exercise is taken from a famous online programming exercise website. It's really interesting and worth adding to our collection.
Note that your code should execute reasonably fast, meaning you should get the solution in approx. 1 min on a modern computer.
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:
What is the value of the first triangle number to have over five hundred divisors?
Note that your code should execute reasonably fast, meaning you should get the solution in approx. 1 min on a modern computer.
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.1: 1
3: 1,3
6: 1,2,3,6
10: 1,2,5,10
15: 1,3,5,15
21: 1,3,7,21
28: 1,2,4,7,14,28
What is the value of the first triangle number to have over five hundred divisors?