Is 4241 a prime number? What are the divisors of 4241?

## Is 4241 a prime number?

Yes, 4241 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 4241, the only two divisors are 1 and 4241. Therefore 4241 is a prime number.

As a consequence, 4241 is only a multiple of 1 and 4241.

Since 4241 is a prime number, 4241 is also a deficient number, that is to say 4241 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4241 without 4241 itself (that is 1, by definition!).

## Parity of 4241

4241 is an odd number, because it is not evenly divisible by 2.

## Is 4241 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 4241 is about 65.123.

Thus, the square root of 4241 is not an integer, and therefore 4241 is not a square number.

Anyway, 4241 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4241?

The square of a number (here 4241) is the result of the product of this number (4241) by itself (i.e., 4241 × 4241); the square of 4241 is sometimes called "raising 4241 to the power 2", or "4241 squared".

The square of 4241 is 17 986 081 because 4241 × 4241 = 42412 = 17 986 081.

As a consequence, 4241 is the square root of 17 986 081.

## Number of digits of 4241

4241 is a number with 4 digits.

## What are the multiples of 4241?

The multiples of 4241 are all integers evenly divisible by 4241, that is all numbers such that the remainder of the division by 4241 is zero. There are infinitely many multiples of 4241. The smallest multiples of 4241 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4241 too, since 0 × 4241 = 0
• 4241: indeed, 4241 is a multiple of itself, since 4241 is evenly divisible by 4241 (we have 4241 / 4241 = 1, so the remainder of this division is indeed zero)
• 8 482: indeed, 8 482 = 4241 × 2
• 12 723: indeed, 12 723 = 4241 × 3
• 16 964: indeed, 16 964 = 4241 × 4
• 21 205: indeed, 21 205 = 4241 × 5
• etc.

## Nearest numbers from 4241

Find out whether some integer is a prime number