Is 4943 a prime number? What are the divisors of 4943?

## Is 4943 a prime number?

Yes, 4943 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 4943, the only two divisors are 1 and 4943. Therefore 4943 is a prime number.

As a consequence, 4943 is only a multiple of 1 and 4943.

Since 4943 is a prime number, 4943 is also a deficient number, that is to say 4943 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4943 without 4943 itself (that is 1, by definition!).

## Parity of 4943

4943 is an odd number, because it is not evenly divisible by 2.

## Is 4943 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 4943 is about 70.306.

Thus, the square root of 4943 is not an integer, and therefore 4943 is not a square number.

Anyway, 4943 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4943?

The square of a number (here 4943) is the result of the product of this number (4943) by itself (i.e., 4943 × 4943); the square of 4943 is sometimes called "raising 4943 to the power 2", or "4943 squared".

The square of 4943 is 24 433 249 because 4943 × 4943 = 49432 = 24 433 249.

As a consequence, 4943 is the square root of 24 433 249.

## Number of digits of 4943

4943 is a number with 4 digits.

## What are the multiples of 4943?

The multiples of 4943 are all integers evenly divisible by 4943, that is all numbers such that the remainder of the division by 4943 is zero. There are infinitely many multiples of 4943. The smallest multiples of 4943 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4943 too, since 0 × 4943 = 0
• 4943: indeed, 4943 is a multiple of itself, since 4943 is evenly divisible by 4943 (we have 4943 / 4943 = 1, so the remainder of this division is indeed zero)
• 9 886: indeed, 9 886 = 4943 × 2
• 14 829: indeed, 14 829 = 4943 × 3
• 19 772: indeed, 19 772 = 4943 × 4
• 24 715: indeed, 24 715 = 4943 × 5
• etc.

## Nearest numbers from 4943

Find out whether some integer is a prime number