Is 4229 a prime number? What are the divisors of 4229?

## Is 4229 a prime number?

Yes, 4229 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 4229, the only two divisors are 1 and 4229. Therefore 4229 is a prime number.

As a consequence, 4229 is only a multiple of 1 and 4229.

Since 4229 is a prime number, 4229 is also a deficient number, that is to say 4229 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4229 without 4229 itself (that is 1, by definition!).

## Parity of 4229

4229 is an odd number, because it is not evenly divisible by 2.

## Is 4229 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 4229 is about 65.031.

Thus, the square root of 4229 is not an integer, and therefore 4229 is not a square number.

Anyway, 4229 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4229?

The square of a number (here 4229) is the result of the product of this number (4229) by itself (i.e., 4229 × 4229); the square of 4229 is sometimes called "raising 4229 to the power 2", or "4229 squared".

The square of 4229 is 17 884 441 because 4229 × 4229 = 42292 = 17 884 441.

As a consequence, 4229 is the square root of 17 884 441.

## Number of digits of 4229

4229 is a number with 4 digits.

## What are the multiples of 4229?

The multiples of 4229 are all integers evenly divisible by 4229, that is all numbers such that the remainder of the division by 4229 is zero. There are infinitely many multiples of 4229. The smallest multiples of 4229 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4229 too, since 0 × 4229 = 0
• 4229: indeed, 4229 is a multiple of itself, since 4229 is evenly divisible by 4229 (we have 4229 / 4229 = 1, so the remainder of this division is indeed zero)
• 8 458: indeed, 8 458 = 4229 × 2
• 12 687: indeed, 12 687 = 4229 × 3
• 16 916: indeed, 16 916 = 4229 × 4
• 21 145: indeed, 21 145 = 4229 × 5
• etc.

## Nearest numbers from 4229

Find out whether some integer is a prime number