Is 2273 a prime number? What are the divisors of 2273?

## Is 2273 a prime number?

Yes, 2273 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 2273, the only two divisors are 1 and 2273. Therefore 2273 is a prime number.

As a consequence, 2273 is only a multiple of 1 and 2273.

Since 2273 is a prime number, 2273 is also a deficient number, that is to say 2273 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2273 without 2273 itself (that is 1, by definition!).

## Parity of 2273

2273 is an odd number, because it is not evenly divisible by 2.

## Is 2273 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 2273 is about 47.676.

Thus, the square root of 2273 is not an integer, and therefore 2273 is not a square number.

Anyway, 2273 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2273?

The square of a number (here 2273) is the result of the product of this number (2273) by itself (i.e., 2273 × 2273); the square of 2273 is sometimes called "raising 2273 to the power 2", or "2273 squared".

The square of 2273 is 5 166 529 because 2273 × 2273 = 22732 = 5 166 529.

As a consequence, 2273 is the square root of 5 166 529.

## Number of digits of 2273

2273 is a number with 4 digits.

## What are the multiples of 2273?

The multiples of 2273 are all integers evenly divisible by 2273, that is all numbers such that the remainder of the division by 2273 is zero. There are infinitely many multiples of 2273. The smallest multiples of 2273 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2273 too, since 0 × 2273 = 0
• 2273: indeed, 2273 is a multiple of itself, since 2273 is evenly divisible by 2273 (we have 2273 / 2273 = 1, so the remainder of this division is indeed zero)
• 4 546: indeed, 4 546 = 2273 × 2
• 6 819: indeed, 6 819 = 2273 × 3
• 9 092: indeed, 9 092 = 2273 × 4
• 11 365: indeed, 11 365 = 2273 × 5
• etc.

## Nearest numbers from 2273

Find out whether some integer is a prime number