Is 3037 a prime number? What are the divisors of 3037?

## Is 3037 a prime number?

Yes, 3037 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 3037, the only two divisors are 1 and 3037. Therefore 3037 is a prime number.

As a consequence, 3037 is only a multiple of 1 and 3037.

Since 3037 is a prime number, 3037 is also a deficient number, that is to say 3037 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3037 without 3037 itself (that is 1, by definition!).

## Parity of 3037

3037 is an odd number, because it is not evenly divisible by 2.

## Is 3037 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 3037 is about 55.109.

Thus, the square root of 3037 is not an integer, and therefore 3037 is not a square number.

Anyway, 3037 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3037?

The square of a number (here 3037) is the result of the product of this number (3037) by itself (i.e., 3037 × 3037); the square of 3037 is sometimes called "raising 3037 to the power 2", or "3037 squared".

The square of 3037 is 9 223 369 because 3037 × 3037 = 30372 = 9 223 369.

As a consequence, 3037 is the square root of 9 223 369.

## Number of digits of 3037

3037 is a number with 4 digits.

## What are the multiples of 3037?

The multiples of 3037 are all integers evenly divisible by 3037, that is all numbers such that the remainder of the division by 3037 is zero. There are infinitely many multiples of 3037. The smallest multiples of 3037 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3037 too, since 0 × 3037 = 0
• 3037: indeed, 3037 is a multiple of itself, since 3037 is evenly divisible by 3037 (we have 3037 / 3037 = 1, so the remainder of this division is indeed zero)
• 6 074: indeed, 6 074 = 3037 × 2
• 9 111: indeed, 9 111 = 3037 × 3
• 12 148: indeed, 12 148 = 3037 × 4
• 15 185: indeed, 15 185 = 3037 × 5
• etc.

## Nearest numbers from 3037

Find out whether some integer is a prime number