Is 4801 a prime number? What are the divisors of 4801?

## Is 4801 a prime number?

Yes, 4801 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 4801, the only two divisors are 1 and 4801. Therefore 4801 is a prime number.

As a consequence, 4801 is only a multiple of 1 and 4801.

Since 4801 is a prime number, 4801 is also a deficient number, that is to say 4801 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4801 without 4801 itself (that is 1, by definition!).

## Parity of 4801

4801 is an odd number, because it is not evenly divisible by 2.

## Is 4801 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 4801 is about 69.289.

Thus, the square root of 4801 is not an integer, and therefore 4801 is not a square number.

Anyway, 4801 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4801?

The square of a number (here 4801) is the result of the product of this number (4801) by itself (i.e., 4801 × 4801); the square of 4801 is sometimes called "raising 4801 to the power 2", or "4801 squared".

The square of 4801 is 23 049 601 because 4801 × 4801 = 48012 = 23 049 601.

As a consequence, 4801 is the square root of 23 049 601.

## Number of digits of 4801

4801 is a number with 4 digits.

## What are the multiples of 4801?

The multiples of 4801 are all integers evenly divisible by 4801, that is all numbers such that the remainder of the division by 4801 is zero. There are infinitely many multiples of 4801. The smallest multiples of 4801 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4801 too, since 0 × 4801 = 0
• 4801: indeed, 4801 is a multiple of itself, since 4801 is evenly divisible by 4801 (we have 4801 / 4801 = 1, so the remainder of this division is indeed zero)
• 9 602: indeed, 9 602 = 4801 × 2
• 14 403: indeed, 14 403 = 4801 × 3
• 19 204: indeed, 19 204 = 4801 × 4
• 24 005: indeed, 24 005 = 4801 × 5
• etc.

## Nearest numbers from 4801

Find out whether some integer is a prime number