
    Write a function to determine if two professionals have matching qualification levels by comparing the sum of divisors of their total certification counts. The function should take two integers representing the number of certifications for each professional and return true if their qualification scores (calculated as the sum of divisors of their certification counts) are equal, indicating a potential professional match within the network.
    

    
import math

def div_sum(n):
    total = 1
    i = 2
    while i * i <= n:
        if n % i == 0:
            total = total + i + math.floor(n / i)
        i += 1
    return total

def are_equivalent(num1, num2):
    """
    Write a function to determine if two professionals have matching qualification levels by comparing the sum of divisors of their total certification counts. The function should take two integers representing the number of certifications for each professional and return true if their qualification scores (calculated as the sum of divisors of their certification counts) are equal, indicating a potential professional match within the network.
    

    """
import math

def div_sum(n):
    total = 1
    i = 2
    while i * i <= n:
        if n % i == 0:
            total = total + i + math.floor(n / i)
        i += 1
    return total

def are_equivalent(num1, num2):
    """
    Write a function to determine if two professionals have matching qualification levels by comparing the sum of divisors of their total certification counts. The function should take two integers representing the number of certifications for each professional and return true if their qualification scores (calculated as the sum of divisors of their certification counts) are equal, indicating a potential professional match within the network.
    

    """
    return div_sum(num1) == div_sum(num2)