Is 9941 a prime number? What are the divisors of 9941?

## Is 9941 a prime number?

Yes, 9941 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 9941, the only two divisors are 1 and 9941. Therefore 9941 is a prime number.

As a consequence, 9941 is only a multiple of 1 and 9941.

Since 9941 is a prime number, 9941 is also a deficient number, that is to say 9941 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9941 without 9941 itself (that is 1, by definition!).

## Parity of 9941

9941 is an odd number, because it is not evenly divisible by 2.

## Is 9941 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 9941 is about 99.705.

Thus, the square root of 9941 is not an integer, and therefore 9941 is not a square number.

Anyway, 9941 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9941?

The square of a number (here 9941) is the result of the product of this number (9941) by itself (i.e., 9941 × 9941); the square of 9941 is sometimes called "raising 9941 to the power 2", or "9941 squared".

The square of 9941 is 98 823 481 because 9941 × 9941 = 99412 = 98 823 481.

As a consequence, 9941 is the square root of 98 823 481.

## Number of digits of 9941

9941 is a number with 4 digits.

## What are the multiples of 9941?

The multiples of 9941 are all integers evenly divisible by 9941, that is all numbers such that the remainder of the division by 9941 is zero. There are infinitely many multiples of 9941. The smallest multiples of 9941 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9941 too, since 0 × 9941 = 0
• 9941: indeed, 9941 is a multiple of itself, since 9941 is evenly divisible by 9941 (we have 9941 / 9941 = 1, so the remainder of this division is indeed zero)
• 19 882: indeed, 19 882 = 9941 × 2
• 29 823: indeed, 29 823 = 9941 × 3
• 39 764: indeed, 39 764 = 9941 × 4
• 49 705: indeed, 49 705 = 9941 × 5
• etc.

## Nearest numbers from 9941

Find out whether some integer is a prime number