Is 11 a deficient number?

Is 11 a deficient number?

Primes, prime powers, and any divisors of a perfect or deficient number are all deficient. The first few deficient numbers are 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, 23, (OEIS A005100).

Are there more deficient or abundant numbers?

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.

Is 10 abundant deficient or perfect?

Is 12 an abundant number?

The integer 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total of 16. The amount by which the sum exceeds the number is the abundance. The number 12 has an abundance of 4, for example.

What are some of the most abundant numbers in math?

The following is the list of the first 22 abundant numbers: 12, 18, 20, 24, 30, 36, 40, 42, 48, 54, 56, 60, 66, 70, 72, 78, 80, 84, 88, 90, 96, 100. In fact, the first 60 abundant numbers are all even numbers!

Which is an abundant number 24 or 24?

For example, the proper divisors of 24 are 1, 2, 3, 4, 6, 8, and 12, whose sum is 36. Because 36 is greater than 24, the number 24 is abundant. Its abundance is 36 − 24 = 12.

How to find the abundance of a number?

Abundant numbers are numbers that are made up of more than they’re worth. You can find an abundant number by adding up the proper factors of a number to see if they add up to more than the number itself. The abundance of a number is the difference between the sum of the proper factors and the number.

When do you call a number abundant or deficient?

As an extension of the idea of perfect numbers, the concept of “abundant” and “deficient” numbers emerged. If the sum of the proper divisors of a number is greater than the number itself, then the number is called abundant or excessive.