Quick Answer: Is 21 Abundant Deficient Or Perfect?

Is 48 abundant deficient or perfect?

The Integers 1 to 100NDivisors of NNotes461, 2, 23, 46Deficient471, 47Deficient481, 2, 3, 4, 6, 8, 12, 16, 24, 48Abundant491, 7, 49Deficient65 more rows.

What are the first 10 multiples of 10?

Multiples of 10 are 10, 20, 30, 40, 50, 60, etc.

Is 20 abundant deficient or perfect?

For example, every multiple of 20 (including 20 itself) is abundant because.

Why is 36 not a prime number?

For 36, the answer is: No, 36 is not a prime number. The list of all positive divisors (i.e., the list of all integers that divide 36) is as follows: 1, 2, 3, 4, 6, 9, 12, 18, 36. For 36 to be a prime number, it would have been required that 36 has only two divisors, i.e., itself and 1.

Is 160 a deficient number?

Is 160 a deficient number? No, 160 is not a deficient number: to be deficient, 160 should have been such that 160 is larger than the sum of its proper divisors, i.e., the divisors of 160 without 160 itself (that is 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 32 + 40 + 80 = 218). … The smallest abundant number is 12.

Is 28 a perfect number?

Perfect number, a positive integer that is equal to the sum of its proper divisors. … The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128.

Is 26 a deficient number?

Deficient numbers occur more frequently than abundant numbers. In other words, the sum of the proper divisors of most numbers is less than the numbers themselves. Examples of deficient numbers include 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, and 23.

Can a prime number ever be abundant?

Prime numbers are not abundant. Every number greater than 20161 can be expressed as a sum of two abundant numbers.

Is 496 abundant deficient or perfect?

Is 496 a perfect number? Yes, 496 is a perfect number, that is to day 496 equals the sum of its proper positive divisors, i.e., the sum of its divisors excluding 496 itself.

Is 21 a deficient number?

As an example, consider the number 21. Its proper divisors are 1, 3 and 7, and their sum is 11. Because 11 is less than 21, the number 21 is deficient.

How do you tell if a number is abundant deficient or perfect?

Abundant: The sum of the proper factors is greater than the number itself. Deficient: The sum of the proper factors is less than the number itself. Perfect: The sum of the proper factors is equal to than the number itself.

Is 22 a deficient number?

The factors of 22 are 1, 2 and 11 and 22, and 1 + 2 + 11 = 14, which is less than 22, so 22 is a deficient number.