Is 4093 a prime number? What are the divisors of 4093?

## Is 4093 a prime number?

Yes, 4093 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 4093, the only two divisors are 1 and 4093. Therefore 4093 is a prime number.

As a consequence, 4093 is only a multiple of 1 and 4093.

Since 4093 is a prime number, 4093 is also a deficient number, that is to say 4093 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4093 without 4093 itself (that is 1, by definition!).

## Parity of 4093

4093 is an odd number, because it is not evenly divisible by 2.

## Is 4093 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 4093 is about 63.977.

Thus, the square root of 4093 is not an integer, and therefore 4093 is not a square number.

Anyway, 4093 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4093?

The square of a number (here 4093) is the result of the product of this number (4093) by itself (i.e., 4093 × 4093); the square of 4093 is sometimes called "raising 4093 to the power 2", or "4093 squared".

The square of 4093 is 16 752 649 because 4093 × 4093 = 40932 = 16 752 649.

As a consequence, 4093 is the square root of 16 752 649.

## Number of digits of 4093

4093 is a number with 4 digits.

## What are the multiples of 4093?

The multiples of 4093 are all integers evenly divisible by 4093, that is all numbers such that the remainder of the division by 4093 is zero. There are infinitely many multiples of 4093. The smallest multiples of 4093 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4093 too, since 0 × 4093 = 0
• 4093: indeed, 4093 is a multiple of itself, since 4093 is evenly divisible by 4093 (we have 4093 / 4093 = 1, so the remainder of this division is indeed zero)
• 8 186: indeed, 8 186 = 4093 × 2
• 12 279: indeed, 12 279 = 4093 × 3
• 16 372: indeed, 16 372 = 4093 × 4
• 20 465: indeed, 20 465 = 4093 × 5
• etc.

## Nearest numbers from 4093

Find out whether some integer is a prime number