#### Amicable Numbers Checker

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```using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace Algorithms.Numeric
{
/// <summary>
/// Amicable numbers are two different natural numbers related in such a way that the sum of the proper divisors of
/// each is equal to the other number. That is, σ(a)=b+a and σ(b)=a+b, where σ(n) is equal to the sum of positive divisors of n (see also divisor function).
/// </summary>
public static class AmicableNumbersChecker
{
/// <summary>
/// Checks if two numbers are amicable or not.
/// </summary>
/// <param name="x">First number to check.</param>
/// <param name="y">Second number to check.</param>
/// <returns>True if they are amicable numbers. False if not.</returns>
public static bool AreAmicableNumbers(int x, int y)
{
return SumOfDivisors(x) == y && SumOfDivisors(y) == x;
}

private static int SumOfDivisors(int number)
{
var sum = 0; /* sum of its positive divisors */
for (var i = 1; i < number; ++i)
{
if (number % i == 0)
{
sum += i;
}
}

return sum;
}
}
}
```  