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.
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.
Because 26 is greater than the sum of its proper divisors.
Because 51 is greater than the sum of its proper divisors.
a perfect number is defined as a positive integer which is the sum of its proper positive divisors, that is, the sum of the positive divisors excluding the number itself 137,438,691,328 is the 7th perfect number.
120,000 has 70 proper divisors.
Prime divisors of 120 = 2, 4, 8, 3, 24, 5
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
Factors are the numbers that evenly divide into a given number.Proper factors are all the factors of the number except the number itself. Some definitions do not allow the number 1, either. If you distinguish between proper factors and proper divisors, proper factors do not include 1, but proper divisors do.Examples:All factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54.Proper factors of 54 are 2, 3, 6, 9, 18, and 27.Proper divisors of 54 are 1, 2, 3, 6, 9, 18, and 27.All factors of 9 are 1, 3, and 9.Proper factors of 9 are only 3.Proper divisors of 9 are 1 and 3.All factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.Proper factors of 30 are 2, 3, 5, 6, 10, and 15.Proper divisors of 30 are 1, 2, 3, 5, 6, 10, and 15.All factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.Proper factors of 100 are 2, 4, 5, 10, 20, 25, and 50.Proper divisors of 100 are 1, 2, 4, 5, 10, 20, 25, and 50.All factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.Proper factors of 120 are 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, and 60.Proper divisors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, and 60.
ac = b ac = 120 So, 1,2,3,4,5,6,8,10,12,15,20,24,30,40,60, and 120 are the divisors or factors of 120 Also we can express 120 as: 120 = 2^3 x 3 x 5
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.
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
1, 2, 3, 4, 6, 8, 12, 24 (sum = 60)