Is 7237 a prime number? What are the divisors of 7237?

## Is 7237 a prime number?

Yes, 7237 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 7237, the only two divisors are 1 and 7237. Therefore 7237 is a prime number.

As a consequence, 7237 is only a multiple of 1 and 7237.

Since 7237 is a prime number, 7237 is also a deficient number, that is to say 7237 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7237 without 7237 itself (that is 1, by definition!).

## Parity of 7237

7237 is an odd number, because it is not evenly divisible by 2.

## Is 7237 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 7237 is about 85.071.

Thus, the square root of 7237 is not an integer, and therefore 7237 is not a square number.

Anyway, 7237 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7237?

The square of a number (here 7237) is the result of the product of this number (7237) by itself (i.e., 7237 × 7237); the square of 7237 is sometimes called "raising 7237 to the power 2", or "7237 squared".

The square of 7237 is 52 374 169 because 7237 × 7237 = 72372 = 52 374 169.

As a consequence, 7237 is the square root of 52 374 169.

## Number of digits of 7237

7237 is a number with 4 digits.

## What are the multiples of 7237?

The multiples of 7237 are all integers evenly divisible by 7237, that is all numbers such that the remainder of the division by 7237 is zero. There are infinitely many multiples of 7237. The smallest multiples of 7237 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7237 too, since 0 × 7237 = 0
• 7237: indeed, 7237 is a multiple of itself, since 7237 is evenly divisible by 7237 (we have 7237 / 7237 = 1, so the remainder of this division is indeed zero)
• 14 474: indeed, 14 474 = 7237 × 2
• 21 711: indeed, 21 711 = 7237 × 3
• 28 948: indeed, 28 948 = 7237 × 4
• 36 185: indeed, 36 185 = 7237 × 5
• etc.

## Nearest numbers from 7237

Find out whether some integer is a prime number