Is 41801 a prime number? What are the divisors of 41801?

## Is 41801 a prime number?

Yes, 41801 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 41801, the only two divisors are 1 and 41801. Therefore 41801 is a prime number.

As a consequence, 41801 is only a multiple of 1 and 41801.

Since 41801 is a prime number, 41801 is also a deficient number, that is to say 41801 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 41801 without 41801 itself (that is 1, by definition!).

## Parity of 41801

41801 is an odd number, because it is not evenly divisible by 2.

## Is 41801 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 41801 is about 204.453.

Thus, the square root of 41801 is not an integer, and therefore 41801 is not a square number.

Anyway, 41801 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 41801?

The square of a number (here 41801) is the result of the product of this number (41801) by itself (i.e., 41801 × 41801); the square of 41801 is sometimes called "raising 41801 to the power 2", or "41801 squared".

The square of 41801 is 1 747 323 601 because 41801 × 41801 = 418012 = 1 747 323 601.

As a consequence, 41801 is the square root of 1 747 323 601.

## Number of digits of 41801

41801 is a number with 5 digits.

## What are the multiples of 41801?

The multiples of 41801 are all integers evenly divisible by 41801, that is all numbers such that the remainder of the division by 41801 is zero. There are infinitely many multiples of 41801. The smallest multiples of 41801 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 41801 too, since 0 × 41801 = 0
• 41801: indeed, 41801 is a multiple of itself, since 41801 is evenly divisible by 41801 (we have 41801 / 41801 = 1, so the remainder of this division is indeed zero)
• 83 602: indeed, 83 602 = 41801 × 2
• 125 403: indeed, 125 403 = 41801 × 3
• 167 204: indeed, 167 204 = 41801 × 4
• 209 005: indeed, 209 005 = 41801 × 5
• etc.

## Nearest numbers from 41801

Find out whether some integer is a prime number