Is 4493 a prime number? What are the divisors of 4493?

## Is 4493 a prime number?

Yes, 4493 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 4493, the only two divisors are 1 and 4493. Therefore 4493 is a prime number.

As a consequence, 4493 is only a multiple of 1 and 4493.

Since 4493 is a prime number, 4493 is also a deficient number, that is to say 4493 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4493 without 4493 itself (that is 1, by definition!).

## Parity of 4493

4493 is an odd number, because it is not evenly divisible by 2.

## Is 4493 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 4493 is about 67.030.

Thus, the square root of 4493 is not an integer, and therefore 4493 is not a square number.

Anyway, 4493 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4493?

The square of a number (here 4493) is the result of the product of this number (4493) by itself (i.e., 4493 × 4493); the square of 4493 is sometimes called "raising 4493 to the power 2", or "4493 squared".

The square of 4493 is 20 187 049 because 4493 × 4493 = 44932 = 20 187 049.

As a consequence, 4493 is the square root of 20 187 049.

## Number of digits of 4493

4493 is a number with 4 digits.

## What are the multiples of 4493?

The multiples of 4493 are all integers evenly divisible by 4493, that is all numbers such that the remainder of the division by 4493 is zero. There are infinitely many multiples of 4493. The smallest multiples of 4493 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4493 too, since 0 × 4493 = 0
• 4493: indeed, 4493 is a multiple of itself, since 4493 is evenly divisible by 4493 (we have 4493 / 4493 = 1, so the remainder of this division is indeed zero)
• 8 986: indeed, 8 986 = 4493 × 2
• 13 479: indeed, 13 479 = 4493 × 3
• 17 972: indeed, 17 972 = 4493 × 4
• 22 465: indeed, 22 465 = 4493 × 5
• etc.

## Nearest numbers from 4493

Find out whether some integer is a prime number