Is 5801 a prime number? What are the divisors of 5801?

## Is 5801 a prime number?

Yes, 5801 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 5801, the only two divisors are 1 and 5801. Therefore 5801 is a prime number.

As a consequence, 5801 is only a multiple of 1 and 5801.

Since 5801 is a prime number, 5801 is also a deficient number, that is to say 5801 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5801 without 5801 itself (that is 1, by definition!).

## Parity of 5801

5801 is an odd number, because it is not evenly divisible by 2.

## Is 5801 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 5801 is about 76.164.

Thus, the square root of 5801 is not an integer, and therefore 5801 is not a square number.

Anyway, 5801 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5801?

The square of a number (here 5801) is the result of the product of this number (5801) by itself (i.e., 5801 × 5801); the square of 5801 is sometimes called "raising 5801 to the power 2", or "5801 squared".

The square of 5801 is 33 651 601 because 5801 × 5801 = 58012 = 33 651 601.

As a consequence, 5801 is the square root of 33 651 601.

## Number of digits of 5801

5801 is a number with 4 digits.

## What are the multiples of 5801?

The multiples of 5801 are all integers evenly divisible by 5801, that is all numbers such that the remainder of the division by 5801 is zero. There are infinitely many multiples of 5801. The smallest multiples of 5801 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5801 too, since 0 × 5801 = 0
• 5801: indeed, 5801 is a multiple of itself, since 5801 is evenly divisible by 5801 (we have 5801 / 5801 = 1, so the remainder of this division is indeed zero)
• 11 602: indeed, 11 602 = 5801 × 2
• 17 403: indeed, 17 403 = 5801 × 3
• 23 204: indeed, 23 204 = 5801 × 4
• 29 005: indeed, 29 005 = 5801 × 5
• etc.

## Nearest numbers from 5801

Find out whether some integer is a prime number