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How can you tell if a number is abundant perfect or deficient?
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
What is the sum of all of the positive divisors of 100?
lets see...prime factorization of 100, 2,2,5,5 so divisors are 2,4,10,20,25,50 so the sum is 111 unless you want to include 1 and 100 then the sum is 212
Why are no prime numbers perfect numbers?
Prime numbers have two factors. The sum of their proper divisors is always 1.
What is the sum of the divisors of 1211?
Sum of divisors: 1,392.
what equals the number 30?
The sum of divisors of a number, excluding the number itself, is called its aliquot sum
Are all prime numbers imperfect?
yes. The only divisors of a prime number are itself and 1. Without counting the prime number, the sum of it's divisors is always 1.
What is a perfect Abundant Or dificient number?
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.
How can you tell if a number is abundant perfect or deficient?
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
What is a defcient number?
It is a number for which the sum of the proper divisors is less the the number. Example: 21 has divisors 1, 3, and 7. The sum is 11 which is less than 21. Note: All prime numbers are deficient and as there are an infinite number of them, there are an infinite set of deficient numbers too.
Is 8 a perfect number?
A perfect number is the sum of its divisors; for example 6 is a perfect number because the sum of its divisors is 6 (1 + 2 + 3). The sum of the divisors of 8 is 7 (1 + 2 + 4), so 8 is not a perfect number.
Is the number 14 a abundant perfect or deficient number?
14 is deficient. It is less than the sum of it's divisors. In mathematics, a deficient number or defective number is a number n for which σ(n) < 2n. Here σ(n) is the sum-of-divisors function: the sum of all positive divisors of n, including n itself Proof.. divisors of 14 are 1,2, and 7 and 14. Now, 2n=28 and and the sum the all the divisors including 14 is 24<28
What is the seventh perfect number?
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.
What is the sum of all of the positive divisors of 100?
lets see...prime factorization of 100, 2,2,5,5 so divisors are 2,4,10,20,25,50 so the sum is 111 unless you want to include 1 and 100 then the sum is 212
Why are no prime numbers perfect numbers?
Prime numbers have two factors. The sum of their proper divisors is always 1.
What is the sum of the divisors of 36?
Sum of divisors = 91.
What is the sum of the divisors of 1211?
Sum of divisors: 1,392.
What is the sum of the divisors of 556?
Sum of divisors: 980.
