Is 3929 a prime number? What are the divisors of 3929?

## Is 3929 a prime number?

Yes, 3929 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 3929, the only two divisors are 1 and 3929. Therefore 3929 is a prime number.

As a consequence, 3929 is only a multiple of 1 and 3929.

Since 3929 is a prime number, 3929 is also a deficient number, that is to say 3929 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3929 without 3929 itself (that is 1, by definition!).

## Parity of 3929

3929 is an odd number, because it is not evenly divisible by 2.

## Is 3929 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 3929 is about 62.682.

Thus, the square root of 3929 is not an integer, and therefore 3929 is not a square number.

Anyway, 3929 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3929?

The square of a number (here 3929) is the result of the product of this number (3929) by itself (i.e., 3929 × 3929); the square of 3929 is sometimes called "raising 3929 to the power 2", or "3929 squared".

The square of 3929 is 15 437 041 because 3929 × 3929 = 39292 = 15 437 041.

As a consequence, 3929 is the square root of 15 437 041.

## Number of digits of 3929

3929 is a number with 4 digits.

## What are the multiples of 3929?

The multiples of 3929 are all integers evenly divisible by 3929, that is all numbers such that the remainder of the division by 3929 is zero. There are infinitely many multiples of 3929. The smallest multiples of 3929 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3929 too, since 0 × 3929 = 0
• 3929: indeed, 3929 is a multiple of itself, since 3929 is evenly divisible by 3929 (we have 3929 / 3929 = 1, so the remainder of this division is indeed zero)
• 7 858: indeed, 7 858 = 3929 × 2
• 11 787: indeed, 11 787 = 3929 × 3
• 15 716: indeed, 15 716 = 3929 × 4
• 19 645: indeed, 19 645 = 3929 × 5
• etc.

## Nearest numbers from 3929

Find out whether some integer is a prime number