Is 4721 a prime number? What are the divisors of 4721?

## Is 4721 a prime number?

Yes, 4721 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 4721, the only two divisors are 1 and 4721. Therefore 4721 is a prime number.

As a consequence, 4721 is only a multiple of 1 and 4721.

Since 4721 is a prime number, 4721 is also a deficient number, that is to say 4721 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4721 without 4721 itself (that is 1, by definition!).

## Parity of 4721

4721 is an odd number, because it is not evenly divisible by 2.

## Is 4721 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 4721 is about 68.710.

Thus, the square root of 4721 is not an integer, and therefore 4721 is not a square number.

Anyway, 4721 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4721?

The square of a number (here 4721) is the result of the product of this number (4721) by itself (i.e., 4721 × 4721); the square of 4721 is sometimes called "raising 4721 to the power 2", or "4721 squared".

The square of 4721 is 22 287 841 because 4721 × 4721 = 47212 = 22 287 841.

As a consequence, 4721 is the square root of 22 287 841.

## Number of digits of 4721

4721 is a number with 4 digits.

## What are the multiples of 4721?

The multiples of 4721 are all integers evenly divisible by 4721, that is all numbers such that the remainder of the division by 4721 is zero. There are infinitely many multiples of 4721. The smallest multiples of 4721 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4721 too, since 0 × 4721 = 0
• 4721: indeed, 4721 is a multiple of itself, since 4721 is evenly divisible by 4721 (we have 4721 / 4721 = 1, so the remainder of this division is indeed zero)
• 9 442: indeed, 9 442 = 4721 × 2
• 14 163: indeed, 14 163 = 4721 × 3
• 18 884: indeed, 18 884 = 4721 × 4
• 23 605: indeed, 23 605 = 4721 × 5
• etc.

## Nearest numbers from 4721

Find out whether some integer is a prime number