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32 changes: 32 additions & 0 deletions Maths/AliquotSum.js
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/*
A program to calculate the Aliquot Sum of a number.
The aliquot sum of a number n, is the sum of all the proper divisors of n apart from n itself
For example, for the number 6
The divisors are 1, 2, 3 (we don't consider 6), so its aliquot sum is 1 + 2 + 3 = 6
1 is the only number whose aliquot sum is 0 (since its only divisor is 1 and aliquot sum of a number couldn't have itself)
For all prime numbers, the aliquot sum is 1, since their only divisor apart from themselves is 1
Article on Aliquot Sum: https://en.wikipedia.org/wiki/Aliquot_sum
*/

/**
* @param {Number} input The number whose aliquot sum you want to calculate
*/
function aliquotSum (input) {
// input can't be negative
if (input < 0) throw new TypeError('Input cannot be Negative')

// input can't be a decimal
if (Math.floor(input) !== input) throw new TypeError('Input cannot be a Decimal')

// Dealing with 1, which isn't a prime
if (input === 1) return 0

let sum = 0
for (let i = 1; i <= (input / 2); i++) {
if (input % i === 0) sum += i
}

return sum
}

export { aliquotSum }
15 changes: 15 additions & 0 deletions Maths/test/AliquotSum.test.js
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import { aliquotSum } from '../AliquotSum'

describe('Aliquot Sum of a Number', () => {
it('Aliquot Sum of 6', () => {
expect(aliquotSum(6)).toBe(6)
})

it('Aliquot Sum of 1', () => {
expect(aliquotSum(1)).toBe(0)
})

it('Aliquot Sum of 28', () => {
expect(aliquotSum(28)).toBe(28)
})
})