"""
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?
"""

from Helper import factors

i = 1

while True:
	number = (1+i)*i/2
	f = factors(number)
	if len(f) > 500:
		break
	i += 1

print number
