Is 4139 a prime number? What are the divisors of 4139?

## Is 4139 a prime number?

Yes, 4139 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 4139, the only two divisors are 1 and 4139. Therefore 4139 is a prime number.

As a consequence, 4139 is only a multiple of 1 and 4139.

Since 4139 is a prime number, 4139 is also a deficient number, that is to say 4139 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4139 without 4139 itself (that is 1, by definition!).

## Parity of 4139

4139 is an odd number, because it is not evenly divisible by 2.

## Is 4139 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 4139 is about 64.335.

Thus, the square root of 4139 is not an integer, and therefore 4139 is not a square number.

Anyway, 4139 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4139?

The square of a number (here 4139) is the result of the product of this number (4139) by itself (i.e., 4139 × 4139); the square of 4139 is sometimes called "raising 4139 to the power 2", or "4139 squared".

The square of 4139 is 17 131 321 because 4139 × 4139 = 41392 = 17 131 321.

As a consequence, 4139 is the square root of 17 131 321.

## Number of digits of 4139

4139 is a number with 4 digits.

## What are the multiples of 4139?

The multiples of 4139 are all integers evenly divisible by 4139, that is all numbers such that the remainder of the division by 4139 is zero. There are infinitely many multiples of 4139. The smallest multiples of 4139 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4139 too, since 0 × 4139 = 0
• 4139: indeed, 4139 is a multiple of itself, since 4139 is evenly divisible by 4139 (we have 4139 / 4139 = 1, so the remainder of this division is indeed zero)
• 8 278: indeed, 8 278 = 4139 × 2
• 12 417: indeed, 12 417 = 4139 × 3
• 16 556: indeed, 16 556 = 4139 × 4
• 20 695: indeed, 20 695 = 4139 × 5
• etc.

## Nearest numbers from 4139

Find out whether some integer is a prime number