aliquot_sum.cpp File Reference

Program to return the Aliquot Sum of a number. More...

#include <cassert>
#include <iostream>

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Namespaces
namespace	math
	for IO operations

Functions
uint64_t	math::aliquot_sum (const uint64_t num)
	to return the aliquot sum of a number
static void	test ()
	Self-test implementations.
int	main ()
	Main function.

Detailed Description

Program to return the Aliquot Sum of a number.

The Aliquot sum \(s(n)\) of a non-negative integer n is the sum of all proper divisors of n, that is, all the divisors of n, other than itself.

Formula:

\[ s(n) = \sum_{d|n, d\neq n}d. \]

For example; \(s(18) = 1 + 2 + 3 + 6 + 9 = 21 \)

Author

SpiderMath

Function Documentation

main()

int main

(

void

)

Main function.

Returns

0 on exit

           {
    test();  // run the self-test implementations
    return 0;
}

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test()

static void test ( )

static

Self-test implementations.

Returns

void

                   {
    // Aliquot sum of 10 is 1 + 2 + 5 = 8
    assert(math::aliquot_sum(10) == 8);
    // Aliquot sum of 15 is 1 + 3 + 5 = 9
    assert(math::aliquot_sum(15) == 9);
    // Aliquot sum of 1 is 0
    assert(math::aliquot_sum(1) == 0);
    // Aliquot sum of 97 is 1 (the aliquot sum of a prime number is 1)
    assert(math::aliquot_sum(97) == 1);
 
    std::cout << "All the tests have successfully passed!\n";
}

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