Is 7673 a prime number? What are the divisors of 7673?

## Is 7673 a prime number?

Yes, 7673 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 7673, the only two divisors are 1 and 7673. Therefore 7673 is a prime number.

As a consequence, 7673 is only a multiple of 1 and 7673.

Since 7673 is a prime number, 7673 is also a deficient number, that is to say 7673 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7673 without 7673 itself (that is 1, by definition!).

## Parity of 7673

7673 is an odd number, because it is not evenly divisible by 2.

## Is 7673 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 7673 is about 87.596.

Thus, the square root of 7673 is not an integer, and therefore 7673 is not a square number.

Anyway, 7673 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7673?

The square of a number (here 7673) is the result of the product of this number (7673) by itself (i.e., 7673 × 7673); the square of 7673 is sometimes called "raising 7673 to the power 2", or "7673 squared".

The square of 7673 is 58 874 929 because 7673 × 7673 = 76732 = 58 874 929.

As a consequence, 7673 is the square root of 58 874 929.

## Number of digits of 7673

7673 is a number with 4 digits.

## What are the multiples of 7673?

The multiples of 7673 are all integers evenly divisible by 7673, that is all numbers such that the remainder of the division by 7673 is zero. There are infinitely many multiples of 7673. The smallest multiples of 7673 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7673 too, since 0 × 7673 = 0
• 7673: indeed, 7673 is a multiple of itself, since 7673 is evenly divisible by 7673 (we have 7673 / 7673 = 1, so the remainder of this division is indeed zero)
• 15 346: indeed, 15 346 = 7673 × 2
• 23 019: indeed, 23 019 = 7673 × 3
• 30 692: indeed, 30 692 = 7673 × 4
• 38 365: indeed, 38 365 = 7673 × 5
• etc.

## Nearest numbers from 7673

Find out whether some integer is a prime number