Is 2339 a prime number? What are the divisors of 2339?

## Is 2339 a prime number?

Yes, 2339 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 2339, the only two divisors are 1 and 2339. Therefore 2339 is a prime number.

As a consequence, 2339 is only a multiple of 1 and 2339.

Since 2339 is a prime number, 2339 is also a deficient number, that is to say 2339 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2339 without 2339 itself (that is 1, by definition!).

## Parity of 2339

2339 is an odd number, because it is not evenly divisible by 2.

## Is 2339 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 2339 is about 48.363.

Thus, the square root of 2339 is not an integer, and therefore 2339 is not a square number.

Anyway, 2339 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2339?

The square of a number (here 2339) is the result of the product of this number (2339) by itself (i.e., 2339 × 2339); the square of 2339 is sometimes called "raising 2339 to the power 2", or "2339 squared".

The square of 2339 is 5 470 921 because 2339 × 2339 = 23392 = 5 470 921.

As a consequence, 2339 is the square root of 5 470 921.

## Number of digits of 2339

2339 is a number with 4 digits.

## What are the multiples of 2339?

The multiples of 2339 are all integers evenly divisible by 2339, that is all numbers such that the remainder of the division by 2339 is zero. There are infinitely many multiples of 2339. The smallest multiples of 2339 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2339 too, since 0 × 2339 = 0
• 2339: indeed, 2339 is a multiple of itself, since 2339 is evenly divisible by 2339 (we have 2339 / 2339 = 1, so the remainder of this division is indeed zero)
• 4 678: indeed, 4 678 = 2339 × 2
• 7 017: indeed, 7 017 = 2339 × 3
• 9 356: indeed, 9 356 = 2339 × 4
• 11 695: indeed, 11 695 = 2339 × 5
• etc.

## Nearest numbers from 2339

Find out whether some integer is a prime number