Is 7393 a prime number? What are the divisors of 7393?

## Is 7393 a prime number?

Yes, 7393 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 7393, the only two divisors are 1 and 7393. Therefore 7393 is a prime number.

As a consequence, 7393 is only a multiple of 1 and 7393.

Since 7393 is a prime number, 7393 is also a deficient number, that is to say 7393 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7393 without 7393 itself (that is 1, by definition!).

## Parity of 7393

7393 is an odd number, because it is not evenly divisible by 2.

## Is 7393 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 7393 is about 85.983.

Thus, the square root of 7393 is not an integer, and therefore 7393 is not a square number.

Anyway, 7393 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7393?

The square of a number (here 7393) is the result of the product of this number (7393) by itself (i.e., 7393 × 7393); the square of 7393 is sometimes called "raising 7393 to the power 2", or "7393 squared".

The square of 7393 is 54 656 449 because 7393 × 7393 = 73932 = 54 656 449.

As a consequence, 7393 is the square root of 54 656 449.

## Number of digits of 7393

7393 is a number with 4 digits.

## What are the multiples of 7393?

The multiples of 7393 are all integers evenly divisible by 7393, that is all numbers such that the remainder of the division by 7393 is zero. There are infinitely many multiples of 7393. The smallest multiples of 7393 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7393 too, since 0 × 7393 = 0
• 7393: indeed, 7393 is a multiple of itself, since 7393 is evenly divisible by 7393 (we have 7393 / 7393 = 1, so the remainder of this division is indeed zero)
• 14 786: indeed, 14 786 = 7393 × 2
• 22 179: indeed, 22 179 = 7393 × 3
• 29 572: indeed, 29 572 = 7393 × 4
• 36 965: indeed, 36 965 = 7393 × 5
• etc.

## Nearest numbers from 7393

Find out whether some integer is a prime number