Is 7321 a prime number? What are the divisors of 7321?

## Is 7321 a prime number?

Yes, 7321 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 7321, the only two divisors are 1 and 7321. Therefore 7321 is a prime number.

As a consequence, 7321 is only a multiple of 1 and 7321.

Since 7321 is a prime number, 7321 is also a deficient number, that is to say 7321 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7321 without 7321 itself (that is 1, by definition!).

## Parity of 7321

7321 is an odd number, because it is not evenly divisible by 2.

## Is 7321 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 7321 is about 85.563.

Thus, the square root of 7321 is not an integer, and therefore 7321 is not a square number.

Anyway, 7321 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7321?

The square of a number (here 7321) is the result of the product of this number (7321) by itself (i.e., 7321 × 7321); the square of 7321 is sometimes called "raising 7321 to the power 2", or "7321 squared".

The square of 7321 is 53 597 041 because 7321 × 7321 = 73212 = 53 597 041.

As a consequence, 7321 is the square root of 53 597 041.

## Number of digits of 7321

7321 is a number with 4 digits.

## What are the multiples of 7321?

The multiples of 7321 are all integers evenly divisible by 7321, that is all numbers such that the remainder of the division by 7321 is zero. There are infinitely many multiples of 7321. The smallest multiples of 7321 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7321 too, since 0 × 7321 = 0
• 7321: indeed, 7321 is a multiple of itself, since 7321 is evenly divisible by 7321 (we have 7321 / 7321 = 1, so the remainder of this division is indeed zero)
• 14 642: indeed, 14 642 = 7321 × 2
• 21 963: indeed, 21 963 = 7321 × 3
• 29 284: indeed, 29 284 = 7321 × 4
• 36 605: indeed, 36 605 = 7321 × 5
• etc.

## Nearest numbers from 7321

Find out whether some integer is a prime number