17 lines
539 B
Markdown
17 lines
539 B
Markdown
|
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:
|
||
|
|
|
||
|
|
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
|
||
|
|
|
||
|
|
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?
|