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# Is 9 a deficient number?

## Is 9 a deficient number?

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).

How do you find 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 6 a deficient number?

The Greeks discovered, for example, that some numbers are equal to the sum of their divisors; for instance, 6 is equal to the sum of its proper divisors 3, 2, and 1. Numbers like 8, whose proper divisors have a sum that is less than the number itself, are called deficient or defective.

### Is 42 abundant or deficient?

The Integers 1 to 100

N Divisors of N Notes
41 1, 41 Deficient
42 1, 2, 3, 6, 7, 14, 21, 42 Abundant
43 1, 43 Deficient
44 1, 2, 4, 11, 22, 44 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 34 a deficient number?

The integer 34 is an even number. The integer 34 is a Composite number. 20 is less than 34, so 34 is a deficient number.

#### What is deficient number in math?

Learn about this topic in these articles: …than the number; in a deficient number, the sum of its proper divisors is less than the number. A perfect number is an integer that equals the sum of its proper divisors. For example, 24 is abundant, its divisors giving a sum of 36; 32 is deficient, giving a sum…

Is 22 a deficient number?

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 6 an amicable number?

Amicable numbers are two different numbers related in such a way that the sum of the proper divisors of each is equal to the other number. The smallest pair of amicable numbers is (220, 284). For example, the proper divisors of 6 are 1, 2, and 3.)

## Is 42 a deficient number?

A whole number is deficient if the sum of its proper divisors is less than the whole number. The number 4 is deficient. The first few abundant numbers are 12, 18, 20, 24, 30, 36, 40, 42, 48, 54, 56, 60, 66, 70, 72, ….

Is the number 24 abundant deficient or perfect?

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.

Is 34 a perfect square number?

Is 34 a perfect square number? A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 34 is about 5.831. Thus, the square root of 34 is not an integer, and therefore 34 is not a square number.

### Which is an example of a deficient number?

In number theory, a deficient number is a number in which the sum of its proper factors is less than the number. Examples explaining what a deficient number is. For example, the number 4 is deficient. The proper factors of 4 are 1 and 2. Since 1 + 2 = 3 and 3 is smaller than 4, 4 is deficient.

Which is the correct divisor of a deficient number?

All proper divisors of deficient or perfect numbers are deficient. {\\displaystyle [n,n+ (\\log n)^ {2}]} for all sufficiently large n. Closely related to deficient numbers are perfect numbers with σ ( n ) = 2 n, and abundant numbers with σ ( n ) > 2 n.

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.

#### Are there any odd numbers that are deficient?

More generally, all odd numbers with one or two distinct prime factors are deficient. It follows that there are infinitely many odd deficient numbers. There are also an infinite number even deficient numbers as all powers of two are ( 1 + 2 + 4 + 8 + + 2x-1 = 2x – 1 ).