Is 7213 a prime number? What are the divisors of 7213?

## Is 7213 a prime number?

Yes, 7213 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 7213, the only two divisors are 1 and 7213. Therefore 7213 is a prime number.

As a consequence, 7213 is only a multiple of 1 and 7213.

Since 7213 is a prime number, 7213 is also a deficient number, that is to say 7213 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7213 without 7213 itself (that is 1, by definition!).

## Parity of 7213

7213 is an odd number, because it is not evenly divisible by 2.

## Is 7213 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 7213 is about 84.929.

Thus, the square root of 7213 is not an integer, and therefore 7213 is not a square number.

Anyway, 7213 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7213?

The square of a number (here 7213) is the result of the product of this number (7213) by itself (i.e., 7213 × 7213); the square of 7213 is sometimes called "raising 7213 to the power 2", or "7213 squared".

The square of 7213 is 52 027 369 because 7213 × 7213 = 72132 = 52 027 369.

As a consequence, 7213 is the square root of 52 027 369.

## Number of digits of 7213

7213 is a number with 4 digits.

## What are the multiples of 7213?

The multiples of 7213 are all integers evenly divisible by 7213, that is all numbers such that the remainder of the division by 7213 is zero. There are infinitely many multiples of 7213. The smallest multiples of 7213 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7213 too, since 0 × 7213 = 0
• 7213: indeed, 7213 is a multiple of itself, since 7213 is evenly divisible by 7213 (we have 7213 / 7213 = 1, so the remainder of this division is indeed zero)
• 14 426: indeed, 14 426 = 7213 × 2
• 21 639: indeed, 21 639 = 7213 × 3
• 28 852: indeed, 28 852 = 7213 × 4
• 36 065: indeed, 36 065 = 7213 × 5
• etc.

## Nearest numbers from 7213

Find out whether some integer is a prime number