Is 4201 a prime number? What are the divisors of 4201?

## Is 4201 a prime number?

Yes, 4201 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 4201, the only two divisors are 1 and 4201. Therefore 4201 is a prime number.

As a consequence, 4201 is only a multiple of 1 and 4201.

Since 4201 is a prime number, 4201 is also a deficient number, that is to say 4201 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4201 without 4201 itself (that is 1, by definition!).

## Parity of 4201

4201 is an odd number, because it is not evenly divisible by 2.

## Is 4201 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 4201 is about 64.815.

Thus, the square root of 4201 is not an integer, and therefore 4201 is not a square number.

Anyway, 4201 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4201?

The square of a number (here 4201) is the result of the product of this number (4201) by itself (i.e., 4201 × 4201); the square of 4201 is sometimes called "raising 4201 to the power 2", or "4201 squared".

The square of 4201 is 17 648 401 because 4201 × 4201 = 42012 = 17 648 401.

As a consequence, 4201 is the square root of 17 648 401.

## Number of digits of 4201

4201 is a number with 4 digits.

## What are the multiples of 4201?

The multiples of 4201 are all integers evenly divisible by 4201, that is all numbers such that the remainder of the division by 4201 is zero. There are infinitely many multiples of 4201. The smallest multiples of 4201 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4201 too, since 0 × 4201 = 0
• 4201: indeed, 4201 is a multiple of itself, since 4201 is evenly divisible by 4201 (we have 4201 / 4201 = 1, so the remainder of this division is indeed zero)
• 8 402: indeed, 8 402 = 4201 × 2
• 12 603: indeed, 12 603 = 4201 × 3
• 16 804: indeed, 16 804 = 4201 × 4
• 21 005: indeed, 21 005 = 4201 × 5
• etc.

## Nearest numbers from 4201

Find out whether some integer is a prime number