Is 2423 a prime number? What are the divisors of 2423?

## Is 2423 a prime number?

Yes, 2423 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 2423, the only two divisors are 1 and 2423. Therefore 2423 is a prime number.

As a consequence, 2423 is only a multiple of 1 and 2423.

Since 2423 is a prime number, 2423 is also a deficient number, that is to say 2423 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2423 without 2423 itself (that is 1, by definition!).

## Parity of 2423

2423 is an odd number, because it is not evenly divisible by 2.

## Is 2423 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 2423 is about 49.224.

Thus, the square root of 2423 is not an integer, and therefore 2423 is not a square number.

Anyway, 2423 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2423?

The square of a number (here 2423) is the result of the product of this number (2423) by itself (i.e., 2423 × 2423); the square of 2423 is sometimes called "raising 2423 to the power 2", or "2423 squared".

The square of 2423 is 5 870 929 because 2423 × 2423 = 24232 = 5 870 929.

As a consequence, 2423 is the square root of 5 870 929.

## Number of digits of 2423

2423 is a number with 4 digits.

## What are the multiples of 2423?

The multiples of 2423 are all integers evenly divisible by 2423, that is all numbers such that the remainder of the division by 2423 is zero. There are infinitely many multiples of 2423. The smallest multiples of 2423 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2423 too, since 0 × 2423 = 0
• 2423: indeed, 2423 is a multiple of itself, since 2423 is evenly divisible by 2423 (we have 2423 / 2423 = 1, so the remainder of this division is indeed zero)
• 4 846: indeed, 4 846 = 2423 × 2
• 7 269: indeed, 7 269 = 2423 × 3
• 9 692: indeed, 9 692 = 2423 × 4
• 12 115: indeed, 12 115 = 2423 × 5
• etc.

## Nearest numbers from 2423

Find out whether some integer is a prime number