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12 - Highly divisible triangular number/p12.cpp
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| 1 | +/* | |
| 2 | + | |
| 3 | + 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: | |
| 4 | + | |
| 5 | + 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ... | |
| 6 | + | |
| 7 | + Let us list the factors of the first seven triangle numbers: | |
| 8 | + | |
| 9 | + 1: 1 | |
| 10 | + 3: 1,3 | |
| 11 | + 6: 1,2,3,6 | |
| 12 | + 10: 1,2,5,10 | |
| 13 | + 15: 1,3,5,15 | |
| 14 | + 21: 1,3,7,21 | |
| 15 | + 28: 1,2,4,7,14,28 | |
| 16 | + We can see that 28 is the first triangle number to have over five divisors. | |
| 17 | + | |
| 18 | + What is the value of the first triangle number to have over five hundred divisors? | |
| 19 | + | |
| 20 | +*/ | |
| 0 | 21 | \ No newline at end of file | ... | ... |