Is 3023 a prime number? What are the divisors of 3023?

## Is 3023 a prime number?

Yes, 3023 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 3023, the only two divisors are 1 and 3023. Therefore 3023 is a prime number.

As a consequence, 3023 is only a multiple of 1 and 3023.

Since 3023 is a prime number, 3023 is also a deficient number, that is to say 3023 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3023 without 3023 itself (that is 1, by definition!).

## Parity of 3023

3023 is an odd number, because it is not evenly divisible by 2.

## Is 3023 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 3023 is about 54.982.

Thus, the square root of 3023 is not an integer, and therefore 3023 is not a square number.

Anyway, 3023 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3023?

The square of a number (here 3023) is the result of the product of this number (3023) by itself (i.e., 3023 × 3023); the square of 3023 is sometimes called "raising 3023 to the power 2", or "3023 squared".

The square of 3023 is 9 138 529 because 3023 × 3023 = 30232 = 9 138 529.

As a consequence, 3023 is the square root of 9 138 529.

## Number of digits of 3023

3023 is a number with 4 digits.

## What are the multiples of 3023?

The multiples of 3023 are all integers evenly divisible by 3023, that is all numbers such that the remainder of the division by 3023 is zero. There are infinitely many multiples of 3023. The smallest multiples of 3023 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3023 too, since 0 × 3023 = 0
• 3023: indeed, 3023 is a multiple of itself, since 3023 is evenly divisible by 3023 (we have 3023 / 3023 = 1, so the remainder of this division is indeed zero)
• 6 046: indeed, 6 046 = 3023 × 2
• 9 069: indeed, 9 069 = 3023 × 3
• 12 092: indeed, 12 092 = 3023 × 4
• 15 115: indeed, 15 115 = 3023 × 5
• etc.

## Nearest numbers from 3023

Find out whether some integer is a prime number