Is 2141 a prime number? What are the divisors of 2141?

## Is 2141 a prime number?

Yes, 2141 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 2141, the only two divisors are 1 and 2141. Therefore 2141 is a prime number.

As a consequence, 2141 is only a multiple of 1 and 2141.

Since 2141 is a prime number, 2141 is also a deficient number, that is to say 2141 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2141 without 2141 itself (that is 1, by definition!).

## Parity of 2141

2141 is an odd number, because it is not evenly divisible by 2.

## Is 2141 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 2141 is about 46.271.

Thus, the square root of 2141 is not an integer, and therefore 2141 is not a square number.

Anyway, 2141 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2141?

The square of a number (here 2141) is the result of the product of this number (2141) by itself (i.e., 2141 × 2141); the square of 2141 is sometimes called "raising 2141 to the power 2", or "2141 squared".

The square of 2141 is 4 583 881 because 2141 × 2141 = 21412 = 4 583 881.

As a consequence, 2141 is the square root of 4 583 881.

## Number of digits of 2141

2141 is a number with 4 digits.

## What are the multiples of 2141?

The multiples of 2141 are all integers evenly divisible by 2141, that is all numbers such that the remainder of the division by 2141 is zero. There are infinitely many multiples of 2141. The smallest multiples of 2141 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2141 too, since 0 × 2141 = 0
• 2141: indeed, 2141 is a multiple of itself, since 2141 is evenly divisible by 2141 (we have 2141 / 2141 = 1, so the remainder of this division is indeed zero)
• 4 282: indeed, 4 282 = 2141 × 2
• 6 423: indeed, 6 423 = 2141 × 3
• 8 564: indeed, 8 564 = 2141 × 4
• 10 705: indeed, 10 705 = 2141 × 5
• etc.

## Nearest numbers from 2141

Find out whether some integer is a prime number