Is 11393 a prime number? What are the divisors of 11393?

## Is 11393 a prime number?

Yes, 11393 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 11393, the only two divisors are 1 and 11393. Therefore 11393 is a prime number.

As a consequence, 11393 is only a multiple of 1 and 11393.

Since 11393 is a prime number, 11393 is also a deficient number, that is to say 11393 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11393 without 11393 itself (that is 1, by definition!).

## Parity of 11393

11393 is an odd number, because it is not evenly divisible by 2.

## Is 11393 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 11393 is about 106.738.

Thus, the square root of 11393 is not an integer, and therefore 11393 is not a square number.

Anyway, 11393 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11393?

The square of a number (here 11393) is the result of the product of this number (11393) by itself (i.e., 11393 × 11393); the square of 11393 is sometimes called "raising 11393 to the power 2", or "11393 squared".

The square of 11393 is 129 800 449 because 11393 × 11393 = 113932 = 129 800 449.

As a consequence, 11393 is the square root of 129 800 449.

## Number of digits of 11393

11393 is a number with 5 digits.

## What are the multiples of 11393?

The multiples of 11393 are all integers evenly divisible by 11393, that is all numbers such that the remainder of the division by 11393 is zero. There are infinitely many multiples of 11393. The smallest multiples of 11393 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11393 too, since 0 × 11393 = 0
• 11393: indeed, 11393 is a multiple of itself, since 11393 is evenly divisible by 11393 (we have 11393 / 11393 = 1, so the remainder of this division is indeed zero)
• 22 786: indeed, 22 786 = 11393 × 2
• 34 179: indeed, 34 179 = 11393 × 3
• 45 572: indeed, 45 572 = 11393 × 4
• 56 965: indeed, 56 965 = 11393 × 5
• etc.

## Nearest numbers from 11393

Find out whether some integer is a prime number