P12.py

# 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?

def tr(n):
    t=(n*(n+1)//2)
    return t
def ch(n,m):
    for i in range(n,m):
        t=tr(i)
        c=0
        for j in range(1,t):
            if t%j==0:
                c+=1
        if c>5:
            return t

s=ch(0,7)
print(s)