What are the abundant numbers between 1 and 25?

What are the abundant numbers between 1 and 25?

The first 28 abundant numbers are: 12, 18, 20, 24, 30, 36, 40, 42, 48, 54, 56, 60, 66, 70, 72, 78, 80, 84, 88, 90, 96, 100, 102, 104, 108, 112, 114, 120, (sequence A005101 in the OEIS). For example, the proper divisors of 24 are 1, 2, 3, 4, 6, 8, and 12, whose sum is 36.

Is 34 a deficient number?

Divisors of the Positive Integer 34 The integer 34 is a Composite number. 20 is less than 34, so 34 is a deficient number.

Is 22 abundant deficient or perfect?

. For example, 22 is deficient because its proper factors sum to 14 < 22. The smallest deficient numbers are 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, and 17.

Is 54 abundant deficient or perfect?

Why is 11 a deficient number?

Its proper divisors are 1, 3 and 7, and their sum is 11. Because 11 is less than 21, the number 21 is deficient. Its deficiency is 2 × 21 − 32 = 10.

Is 40 abundant deficient or perfect?

Is 16 an abundant number?

Finding Abundant Numbers If the sum of the proper factors is greater than your actual number, then the number is considered to be an abundant number. The number 16 is greater than the number 12, so 12 is an abundant number.

Is 25 an abundant number?

Examples. The first 28 abundant numbers are: 12, 18, 20, 24, 30, 36, 40, 42, 48, 54, 56, 60, 66, 70, 72, 78, 80, 84, 88, 90, 96, 100, 102, 104, 108, 112, 114, 120.

Is 25 a deficient number?

In order for a number to be a deficient number, the sum of the proper factors of the number must be smaller than the number, not greater, or equal to the number. The first 20 deficient numbers are 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, 23, and 25.

Is 12 an abundant or deficient number?

Because the sum of its proper divisors (1 + 2 + 3 + 4 + 6 = 16) is greater than 12, 12 is an abundant number. Numbers like 8, whose proper divisors have a sum that is less than the number itself, are called deficient or defective.

How do you know if a number is abundant or excessive?

If the sum of the proper divisors of a number is greater than the number itself, then the number is called abundant or excessive. The proper divisors of 12 are 1, 2, 3, 4, and 6. Because the sum of its proper divisors (1 + 2 + 3 + 4 + 6 = 16) is greater than 12, 12 is an abundant number.

What is the first 5 most abundant numbers?

Twelve is the first abundant number. The next abundant number is 18 because the proper divisors sum to 21 (1 + 2 + 3 + 6 + 9). The first five abundant numbers are 12, 18, 20, 24, and 30.

How do you find the classifications of perfect and deficient numbers?

Let P (n) be the sum of the proper divisors of n where the proper divisors are all positive divisors of n other than n itself. if P (n) < n then n is classed as deficient ( OEIS A005100 ). if P (n) == n then n is classed as perfect ( OEIS A000396 ). if P (n) > n then n is classed as abundant ( OEIS A005101 ).