Is 3271 a prime number? What are the divisors of 3271?

## Is 3271 a prime number?

Yes, 3271 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 3271, the only two divisors are 1 and 3271. Therefore 3271 is a prime number.

As a consequence, 3271 is only a multiple of 1 and 3271.

Since 3271 is a prime number, 3271 is also a deficient number, that is to say 3271 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3271 without 3271 itself (that is 1, by definition!).

## Parity of 3271

3271 is an odd number, because it is not evenly divisible by 2.

## Is 3271 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 3271 is about 57.193.

Thus, the square root of 3271 is not an integer, and therefore 3271 is not a square number.

Anyway, 3271 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3271?

The square of a number (here 3271) is the result of the product of this number (3271) by itself (i.e., 3271 × 3271); the square of 3271 is sometimes called "raising 3271 to the power 2", or "3271 squared".

The square of 3271 is 10 699 441 because 3271 × 3271 = 32712 = 10 699 441.

As a consequence, 3271 is the square root of 10 699 441.

## Number of digits of 3271

3271 is a number with 4 digits.

## What are the multiples of 3271?

The multiples of 3271 are all integers evenly divisible by 3271, that is all numbers such that the remainder of the division by 3271 is zero. There are infinitely many multiples of 3271. The smallest multiples of 3271 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3271 too, since 0 × 3271 = 0
• 3271: indeed, 3271 is a multiple of itself, since 3271 is evenly divisible by 3271 (we have 3271 / 3271 = 1, so the remainder of this division is indeed zero)
• 6 542: indeed, 6 542 = 3271 × 2
• 9 813: indeed, 9 813 = 3271 × 3
• 13 084: indeed, 13 084 = 3271 × 4
• 16 355: indeed, 16 355 = 3271 × 5
• etc.

## Nearest numbers from 3271

Find out whether some integer is a prime number