Is 4993 a prime number? What are the divisors of 4993?

## Is 4993 a prime number?

Yes, 4993 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 4993, the only two divisors are 1 and 4993. Therefore 4993 is a prime number.

As a consequence, 4993 is only a multiple of 1 and 4993.

Since 4993 is a prime number, 4993 is also a deficient number, that is to say 4993 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4993 without 4993 itself (that is 1, by definition!).

## Parity of 4993

4993 is an odd number, because it is not evenly divisible by 2.

## Is 4993 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 4993 is about 70.661.

Thus, the square root of 4993 is not an integer, and therefore 4993 is not a square number.

Anyway, 4993 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4993?

The square of a number (here 4993) is the result of the product of this number (4993) by itself (i.e., 4993 × 4993); the square of 4993 is sometimes called "raising 4993 to the power 2", or "4993 squared".

The square of 4993 is 24 930 049 because 4993 × 4993 = 49932 = 24 930 049.

As a consequence, 4993 is the square root of 24 930 049.

## Number of digits of 4993

4993 is a number with 4 digits.

## What are the multiples of 4993?

The multiples of 4993 are all integers evenly divisible by 4993, that is all numbers such that the remainder of the division by 4993 is zero. There are infinitely many multiples of 4993. The smallest multiples of 4993 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4993 too, since 0 × 4993 = 0
• 4993: indeed, 4993 is a multiple of itself, since 4993 is evenly divisible by 4993 (we have 4993 / 4993 = 1, so the remainder of this division is indeed zero)
• 9 986: indeed, 9 986 = 4993 × 2
• 14 979: indeed, 14 979 = 4993 × 3
• 19 972: indeed, 19 972 = 4993 × 4
• 24 965: indeed, 24 965 = 4993 × 5
• etc.

## Nearest numbers from 4993

Find out whether some integer is a prime number