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Q: How do you calculate proper divisors?

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120,000 has 70 proper divisors.

A perfect number equals the sum of its proper divisors. A deficient number is greater than the sum of its proper divisors. An abundant number is less than the sum of its proper divisors. Proper divisors of a number do not include the number itself.

1,2,3,4,6,8,12,24

59

no- 19 is prime which means it has no proper divisors.

1, 3, 9 and 27

an abundant number is less than the sum of its proper divisors

A perfect number is the term for a number that is equal to the sum of its proper divisors. Be careful not to confuse that with proper factors. Proper divisors include 1 but not the number itself. Proper factors don't include either I or the original number.

1, 2, 3, 4, 6, 8, 12, 24 (sum = 60)

Find the sum of the proper divisors of that number.a perfect number equals the sum of its proper divisorsa deficient number is greater than the sum of its proper divisorsan abundant number is less than the sum of its proper divisors

That is a list of the proper divisors of 588. Most definitions of proper factors do not include the number 1.

Perfect number (and it's proper divisors not proper factors)

A perfect number is equal to the sum of its proper divisors (the factors excluding the number itself.) 6 is a perfect number. Its proper divisors are 1, 2 and 3.

Because the sum of its proper divisors is greater than 20.

Because 26 is greater than the sum of its proper divisors.

A practical number is one that is the sum of distinct proper divisors.

1,184 has 12 divisors: 1 2 4 8 16 32 37 74 148 296 592 1184.

Amicable numbers are pairs of numbers for which the sum of the proper divisors (the divisors except for the number itself) equals the other number in the pair. The smallest amicable pair is 220 and 284. The proper divisors of 220 are and the factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, and 110, the sum of which is 284. The proper divisors of 284 are 1, 2, 4, 71, and 142, the sum of which is 220.

an abundant number is less than the sum of its proper divisors

Because 51 is greater than the sum of its proper divisors.

Because the sum of its proper divisors is greater than 100.

Because the sum of its proper divisors is greater than the number itself.

Because the sum of its proper divisors is greater than 36.

a deficient number is greater than the sum of its proper divisors

Because the sum of its proper divisors is less than 19.