Is 2939 a prime number? What are the divisors of 2939?

## Is 2939 a prime number?

Yes, 2939 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 2939, the only two divisors are 1 and 2939. Therefore 2939 is a prime number.

As a consequence, 2939 is only a multiple of 1 and 2939.

Since 2939 is a prime number, 2939 is also a deficient number, that is to say 2939 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2939 without 2939 itself (that is 1, by definition!).

## Parity of 2939

2939 is an odd number, because it is not evenly divisible by 2.

## Is 2939 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 2939 is about 54.213.

Thus, the square root of 2939 is not an integer, and therefore 2939 is not a square number.

Anyway, 2939 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2939?

The square of a number (here 2939) is the result of the product of this number (2939) by itself (i.e., 2939 × 2939); the square of 2939 is sometimes called "raising 2939 to the power 2", or "2939 squared".

The square of 2939 is 8 637 721 because 2939 × 2939 = 29392 = 8 637 721.

As a consequence, 2939 is the square root of 8 637 721.

## Number of digits of 2939

2939 is a number with 4 digits.

## What are the multiples of 2939?

The multiples of 2939 are all integers evenly divisible by 2939, that is all numbers such that the remainder of the division by 2939 is zero. There are infinitely many multiples of 2939. The smallest multiples of 2939 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2939 too, since 0 × 2939 = 0
• 2939: indeed, 2939 is a multiple of itself, since 2939 is evenly divisible by 2939 (we have 2939 / 2939 = 1, so the remainder of this division is indeed zero)
• 5 878: indeed, 5 878 = 2939 × 2
• 8 817: indeed, 8 817 = 2939 × 3
• 11 756: indeed, 11 756 = 2939 × 4
• 14 695: indeed, 14 695 = 2939 × 5
• etc.

## Nearest numbers from 2939

Find out whether some integer is a prime number