Is 2671 a prime number? What are the divisors of 2671?

## Is 2671 a prime number?

Yes, 2671 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 2671, the only two divisors are 1 and 2671. Therefore 2671 is a prime number.

As a consequence, 2671 is only a multiple of 1 and 2671.

Since 2671 is a prime number, 2671 is also a deficient number, that is to say 2671 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2671 without 2671 itself (that is 1, by definition!).

## Parity of 2671

2671 is an odd number, because it is not evenly divisible by 2.

## Is 2671 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 2671 is about 51.682.

Thus, the square root of 2671 is not an integer, and therefore 2671 is not a square number.

Anyway, 2671 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2671?

The square of a number (here 2671) is the result of the product of this number (2671) by itself (i.e., 2671 × 2671); the square of 2671 is sometimes called "raising 2671 to the power 2", or "2671 squared".

The square of 2671 is 7 134 241 because 2671 × 2671 = 26712 = 7 134 241.

As a consequence, 2671 is the square root of 7 134 241.

## Number of digits of 2671

2671 is a number with 4 digits.

## What are the multiples of 2671?

The multiples of 2671 are all integers evenly divisible by 2671, that is all numbers such that the remainder of the division by 2671 is zero. There are infinitely many multiples of 2671. The smallest multiples of 2671 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2671 too, since 0 × 2671 = 0
• 2671: indeed, 2671 is a multiple of itself, since 2671 is evenly divisible by 2671 (we have 2671 / 2671 = 1, so the remainder of this division is indeed zero)
• 5 342: indeed, 5 342 = 2671 × 2
• 8 013: indeed, 8 013 = 2671 × 3
• 10 684: indeed, 10 684 = 2671 × 4
• 13 355: indeed, 13 355 = 2671 × 5
• etc.

## Nearest numbers from 2671

Find out whether some integer is a prime number