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.

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How do you know if a number is deficient?

To find out if a number is deficient, add the proper factors of a number and see if the sum is less than the original number. If the sum is less than the original number, than the number is deficient.


Can a prime number be a deficient number?

Any prime number is deficient, because it has only one proper factor: 1. All numbers of the form 2n are also deficient. Example: 32 (=25) is a deficient number because the sum of its distinct proper factors is 31 (1+2+4+8+16).

How do you know if a number is abundant?

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.

What numbers mean money?

‘Money Number’ 5 people are often rewarded by the cosmos for their positive attitude and deeds. 6 is the number of ‘abundance’ and the 6 ‘Money Number’ person sometimes inherits money or shares family wealth, as 6 is the number associated with family and gifts.


Is 21 abundant or deficient?

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

Is 55 a deficient number?

The integer 55 is a Composite number. 17 is less than 55, so 55 is a deficient number.

Is 32 abundant or deficient?

The Integers 1 to 100


NDivisors of NNotes
291, 29Deficient
301, 2, 3, 5, 6, 10, 15, 30Abundant
311, 31Deficient
321, 2, 4, 8, 16, 32Deficient

What is the difference between an abundant number and a deficient number?

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.

See more: High Standard Double Nine W-104 Parts, High Standard Double Nine W

What are the proper divisors of 8?

1 has 0 proper divisors: 2 has 1 proper divisors: 1 3 has 1 proper divisors: 1 4 has 2 proper divisors: 1 2 5 has 1 proper divisors: 1 6 has 3 proper divisors: 1 2 3 7 has 1 proper divisors: 1 8 has 3 proper divisors: 1 2 4 9 has 2 proper divisors: 1 3 10 has 3 proper divisors: 1 2 5 15120 has 79 proper divisors.

What are the divisors of 8?

Divisors of numbers

NumberPrime factorizationDivisors
771, 7
8231, 2, 4, 8
9321, 3, 9
102 * 51, 2, 5, 10