Check if sum of divisors of two numbers are same in Python

Suppose we have two numbers p and q. We have to check whether the sum of all divisors of these tow numbers are same or not.

So, if the input is like p = 559, q = 703, then the output will be True the divisors of 559 is 1, 13, 43 and 703 is 1, 19, 37. The sum of the divisors are 57.

To solve this, we will follow these steps −

• Define a function divSum() . This will take n
• total := 1
• i := 2
• while i * i <= n, do
  • if n divisible by i, then
    • total := total + i + the floor of (n / i)
  • i := i + 1
• return total
• From the main method return true when divSum(p) is same as divSum(q), otherwise false

Let us see the following implementation to get better understanding −

Example Code

from math import floor
 
def divSum(n):
   total = 1
   i = 2
   while i * i <= n:
      if n % i == 0:
         total += i + floor(n / i)
      i += 1
 
   return total
   
def solve(p, q):
   return divSum(p) == divSum(q)

p = 559
q = 703
print(solve(p, q))

Input

559, 703

Output

True