Is 2309 a prime number? What are the divisors of 2309?

## Is 2309 a prime number?

Yes, 2309 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 2309, the only two divisors are 1 and 2309. Therefore 2309 is a prime number.

As a consequence, 2309 is only a multiple of 1 and 2309.

Since 2309 is a prime number, 2309 is also a deficient number, that is to say 2309 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2309 without 2309 itself (that is 1, by definition!).

## Parity of 2309

2309 is an odd number, because it is not evenly divisible by 2.

## Is 2309 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 2309 is about 48.052.

Thus, the square root of 2309 is not an integer, and therefore 2309 is not a square number.

Anyway, 2309 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2309?

The square of a number (here 2309) is the result of the product of this number (2309) by itself (i.e., 2309 × 2309); the square of 2309 is sometimes called "raising 2309 to the power 2", or "2309 squared".

The square of 2309 is 5 331 481 because 2309 × 2309 = 23092 = 5 331 481.

As a consequence, 2309 is the square root of 5 331 481.

## Number of digits of 2309

2309 is a number with 4 digits.

## What are the multiples of 2309?

The multiples of 2309 are all integers evenly divisible by 2309, that is all numbers such that the remainder of the division by 2309 is zero. There are infinitely many multiples of 2309. The smallest multiples of 2309 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2309 too, since 0 × 2309 = 0
• 2309: indeed, 2309 is a multiple of itself, since 2309 is evenly divisible by 2309 (we have 2309 / 2309 = 1, so the remainder of this division is indeed zero)
• 4 618: indeed, 4 618 = 2309 × 2
• 6 927: indeed, 6 927 = 2309 × 3
• 9 236: indeed, 9 236 = 2309 × 4
• 11 545: indeed, 11 545 = 2309 × 5
• etc.

## Nearest numbers from 2309

Find out whether some integer is a prime number