Is 4079 a prime number? What are the divisors of 4079?

## Is 4079 a prime number?

Yes, 4079 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 4079, the only two divisors are 1 and 4079. Therefore 4079 is a prime number.

As a consequence, 4079 is only a multiple of 1 and 4079.

Since 4079 is a prime number, 4079 is also a deficient number, that is to say 4079 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4079 without 4079 itself (that is 1, by definition!).

## Parity of 4079

4079 is an odd number, because it is not evenly divisible by 2.

## Is 4079 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 4079 is about 63.867.

Thus, the square root of 4079 is not an integer, and therefore 4079 is not a square number.

Anyway, 4079 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4079?

The square of a number (here 4079) is the result of the product of this number (4079) by itself (i.e., 4079 × 4079); the square of 4079 is sometimes called "raising 4079 to the power 2", or "4079 squared".

The square of 4079 is 16 638 241 because 4079 × 4079 = 40792 = 16 638 241.

As a consequence, 4079 is the square root of 16 638 241.

## Number of digits of 4079

4079 is a number with 4 digits.

## What are the multiples of 4079?

The multiples of 4079 are all integers evenly divisible by 4079, that is all numbers such that the remainder of the division by 4079 is zero. There are infinitely many multiples of 4079. The smallest multiples of 4079 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4079 too, since 0 × 4079 = 0
• 4079: indeed, 4079 is a multiple of itself, since 4079 is evenly divisible by 4079 (we have 4079 / 4079 = 1, so the remainder of this division is indeed zero)
• 8 158: indeed, 8 158 = 4079 × 2
• 12 237: indeed, 12 237 = 4079 × 3
• 16 316: indeed, 16 316 = 4079 × 4
• 20 395: indeed, 20 395 = 4079 × 5
• etc.

## Nearest numbers from 4079

Find out whether some integer is a prime number