Is 4733 a prime number? What are the divisors of 4733?

## Is 4733 a prime number?

Yes, 4733 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 4733, the only two divisors are 1 and 4733. Therefore 4733 is a prime number.

As a consequence, 4733 is only a multiple of 1 and 4733.

Since 4733 is a prime number, 4733 is also a deficient number, that is to say 4733 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4733 without 4733 itself (that is 1, by definition!).

## Parity of 4733

4733 is an odd number, because it is not evenly divisible by 2.

## Is 4733 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 4733 is about 68.797.

Thus, the square root of 4733 is not an integer, and therefore 4733 is not a square number.

Anyway, 4733 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4733?

The square of a number (here 4733) is the result of the product of this number (4733) by itself (i.e., 4733 × 4733); the square of 4733 is sometimes called "raising 4733 to the power 2", or "4733 squared".

The square of 4733 is 22 401 289 because 4733 × 4733 = 47332 = 22 401 289.

As a consequence, 4733 is the square root of 22 401 289.

## Number of digits of 4733

4733 is a number with 4 digits.

## What are the multiples of 4733?

The multiples of 4733 are all integers evenly divisible by 4733, that is all numbers such that the remainder of the division by 4733 is zero. There are infinitely many multiples of 4733. The smallest multiples of 4733 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4733 too, since 0 × 4733 = 0
• 4733: indeed, 4733 is a multiple of itself, since 4733 is evenly divisible by 4733 (we have 4733 / 4733 = 1, so the remainder of this division is indeed zero)
• 9 466: indeed, 9 466 = 4733 × 2
• 14 199: indeed, 14 199 = 4733 × 3
• 18 932: indeed, 18 932 = 4733 × 4
• 23 665: indeed, 23 665 = 4733 × 5
• etc.

## Nearest numbers from 4733

Find out whether some integer is a prime number