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85 lines
1.6 KiB
Python
85 lines
1.6 KiB
Python
"""Implementation of Basic Math in Python."""
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import math
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def prime_factors(n):
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"""Find Prime Factors."""
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pf = []
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while n % 2 == 0:
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pf.append(2)
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n = int(n / 2)
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for i in range(3, int(math.sqrt(n)) + 1, 2):
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while n % i == 0:
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pf.append(i)
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n = int(n / i)
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if n > 2:
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pf.append(n)
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return pf
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def number_of_divisors(n):
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"""Calculate Number of Divisors of an Integer."""
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div = 1
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temp = 1
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while n % 2 == 0:
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temp += 1
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n = int(n / 2)
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div = div * (temp)
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for i in range(3, int(math.sqrt(n)) + 1, 2):
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temp = 1
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while n % i == 0:
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temp += 1
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n = int(n / i)
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div = div * (temp)
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return div
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def sum_of_divisors(n):
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"""Calculate Sum of Divisors."""
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s = 1
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temp = 1
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while n % 2 == 0:
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temp += 1
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n = int(n / 2)
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if temp > 1:
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s *= (2 ** temp - 1) / (2 - 1)
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for i in range(3, int(math.sqrt(n)) + 1, 2):
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temp = 1
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while n % i == 0:
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temp += 1
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n = int(n / i)
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if temp > 1:
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s *= (i ** temp - 1) / (i - 1)
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return s
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def euler_phi(n):
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"""Calculte Euler's Phi Function."""
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l = prime_factors(n)
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l = set(l)
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s = n
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for x in l:
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s *= (x - 1) / x
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return s
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def main():
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"""Print the Results of Basic Math Operations."""
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print(prime_factors(100))
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print(number_of_divisors(100))
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print(sum_of_divisors(100))
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print(euler_phi(100))
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if __name__ == "__main__":
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main()
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