mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-12-18 09:10:16 +00:00
74 lines
1.4 KiB
Python
74 lines
1.4 KiB
Python
import math
|
|
|
|
def primeFactors(n):
|
|
pf = []
|
|
while n % 2 == 0:
|
|
pf.append(2)
|
|
n = int(n / 2)
|
|
|
|
for i in range(3, int(math.sqrt(n))+1, 2):
|
|
while n % i == 0:
|
|
pf.append(i)
|
|
n = int(n / i)
|
|
|
|
if n > 2:
|
|
pf.append(n)
|
|
|
|
return pf
|
|
|
|
def numberOfDivisors(n):
|
|
div = 1
|
|
|
|
temp = 1
|
|
while n % 2 == 0:
|
|
temp += 1
|
|
n = int(n / 2)
|
|
div = div * (temp)
|
|
|
|
for i in range(3, int(math.sqrt(n))+1, 2):
|
|
temp = 1
|
|
while n % i == 0:
|
|
temp += 1
|
|
n = int(n / i)
|
|
div = div * (temp)
|
|
|
|
return div
|
|
|
|
def sumOfDivisors(n):
|
|
s = 1
|
|
|
|
temp = 1
|
|
while n % 2 == 0:
|
|
temp += 1
|
|
n = int(n / 2)
|
|
if temp > 1:
|
|
s *= (2**temp - 1) / (2 - 1)
|
|
|
|
for i in range(3, int(math.sqrt(n))+1, 2):
|
|
temp = 1
|
|
while n % i == 0:
|
|
temp += 1
|
|
n = int(n / i)
|
|
if temp > 1:
|
|
s *= (i**temp - 1) / (i - 1)
|
|
|
|
return s
|
|
|
|
def eulerPhi(n):
|
|
l = primeFactors(n)
|
|
l = set(l)
|
|
s = n
|
|
for x in l:
|
|
s *= (x - 1)/x
|
|
return s
|
|
|
|
def main():
|
|
print(primeFactors(100))
|
|
print(numberOfDivisors(100))
|
|
print(sumOfDivisors(100))
|
|
print(eulerPhi(100))
|
|
|
|
if __name__ == '__main__':
|
|
main()
|
|
|
|
|