Is 4723 a prime number? What are the divisors of 4723?

## Is 4723 a prime number?

Yes, 4723 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 4723, the only two divisors are 1 and 4723. Therefore 4723 is a prime number.

As a consequence, 4723 is only a multiple of 1 and 4723.

Since 4723 is a prime number, 4723 is also a deficient number, that is to say 4723 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4723 without 4723 itself (that is 1, by definition!).

## Parity of 4723

4723 is an odd number, because it is not evenly divisible by 2.

## Is 4723 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 4723 is about 68.724.

Thus, the square root of 4723 is not an integer, and therefore 4723 is not a square number.

Anyway, 4723 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4723?

The square of a number (here 4723) is the result of the product of this number (4723) by itself (i.e., 4723 × 4723); the square of 4723 is sometimes called "raising 4723 to the power 2", or "4723 squared".

The square of 4723 is 22 306 729 because 4723 × 4723 = 47232 = 22 306 729.

As a consequence, 4723 is the square root of 22 306 729.

## Number of digits of 4723

4723 is a number with 4 digits.

## What are the multiples of 4723?

The multiples of 4723 are all integers evenly divisible by 4723, that is all numbers such that the remainder of the division by 4723 is zero. There are infinitely many multiples of 4723. The smallest multiples of 4723 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4723 too, since 0 × 4723 = 0
• 4723: indeed, 4723 is a multiple of itself, since 4723 is evenly divisible by 4723 (we have 4723 / 4723 = 1, so the remainder of this division is indeed zero)
• 9 446: indeed, 9 446 = 4723 × 2
• 14 169: indeed, 14 169 = 4723 × 3
• 18 892: indeed, 18 892 = 4723 × 4
• 23 615: indeed, 23 615 = 4723 × 5
• etc.

## Nearest numbers from 4723

Find out whether some integer is a prime number