Is 4729 a prime number? What are the divisors of 4729?

## Is 4729 a prime number?

Yes, 4729 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 4729, the only two divisors are 1 and 4729. Therefore 4729 is a prime number.

As a consequence, 4729 is only a multiple of 1 and 4729.

Since 4729 is a prime number, 4729 is also a deficient number, that is to say 4729 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4729 without 4729 itself (that is 1, by definition!).

## Parity of 4729

4729 is an odd number, because it is not evenly divisible by 2.

## Is 4729 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 4729 is about 68.768.

Thus, the square root of 4729 is not an integer, and therefore 4729 is not a square number.

Anyway, 4729 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4729?

The square of a number (here 4729) is the result of the product of this number (4729) by itself (i.e., 4729 × 4729); the square of 4729 is sometimes called "raising 4729 to the power 2", or "4729 squared".

The square of 4729 is 22 363 441 because 4729 × 4729 = 47292 = 22 363 441.

As a consequence, 4729 is the square root of 22 363 441.

## Number of digits of 4729

4729 is a number with 4 digits.

## What are the multiples of 4729?

The multiples of 4729 are all integers evenly divisible by 4729, that is all numbers such that the remainder of the division by 4729 is zero. There are infinitely many multiples of 4729. The smallest multiples of 4729 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4729 too, since 0 × 4729 = 0
• 4729: indeed, 4729 is a multiple of itself, since 4729 is evenly divisible by 4729 (we have 4729 / 4729 = 1, so the remainder of this division is indeed zero)
• 9 458: indeed, 9 458 = 4729 × 2
• 14 187: indeed, 14 187 = 4729 × 3
• 18 916: indeed, 18 916 = 4729 × 4
• 23 645: indeed, 23 645 = 4729 × 5
• etc.

## Nearest numbers from 4729

Find out whether some integer is a prime number