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49 lines
1019 B
Python
49 lines
1019 B
Python
from __future__ import print_function
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from math import sqrt
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'''
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Highly divisible triangular numbers
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Problem 12
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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:
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1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
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Let us list the factors of the first seven triangle numbers:
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1: 1
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3: 1,3
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6: 1,2,3,6
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10: 1,2,5,10
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15: 1,3,5,15
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21: 1,3,7,21
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28: 1,2,4,7,14,28
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We can see that 28 is the first triangle number to have over five divisors.
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What is the value of the first triangle number to have over five hundred divisors?
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'''
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try:
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xrange #Python 2
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except NameError:
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xrange = range #Python 3
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def count_divisors(n):
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nDivisors = 0
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for i in xrange(1, int(sqrt(n))+1):
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if n%i == 0:
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nDivisors += 2
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#check if n is perfect square
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if n**0.5 == int(n**0.5):
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nDivisors -= 1
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return nDivisors
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tNum = 1
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i = 1
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while True:
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i += 1
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tNum += i
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if count_divisors(tNum) > 500:
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break
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print(tNum)
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