Is 7607 a prime number? What are the divisors of 7607?

## Is 7607 a prime number?

Yes, 7607 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 7607, the only two divisors are 1 and 7607. Therefore 7607 is a prime number.

As a consequence, 7607 is only a multiple of 1 and 7607.

Since 7607 is a prime number, 7607 is also a deficient number, that is to say 7607 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7607 without 7607 itself (that is 1, by definition!).

## Parity of 7607

7607 is an odd number, because it is not evenly divisible by 2.

## Is 7607 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 7607 is about 87.218.

Thus, the square root of 7607 is not an integer, and therefore 7607 is not a square number.

Anyway, 7607 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7607?

The square of a number (here 7607) is the result of the product of this number (7607) by itself (i.e., 7607 × 7607); the square of 7607 is sometimes called "raising 7607 to the power 2", or "7607 squared".

The square of 7607 is 57 866 449 because 7607 × 7607 = 76072 = 57 866 449.

As a consequence, 7607 is the square root of 57 866 449.

## Number of digits of 7607

7607 is a number with 4 digits.

## What are the multiples of 7607?

The multiples of 7607 are all integers evenly divisible by 7607, that is all numbers such that the remainder of the division by 7607 is zero. There are infinitely many multiples of 7607. The smallest multiples of 7607 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7607 too, since 0 × 7607 = 0
• 7607: indeed, 7607 is a multiple of itself, since 7607 is evenly divisible by 7607 (we have 7607 / 7607 = 1, so the remainder of this division is indeed zero)
• 15 214: indeed, 15 214 = 7607 × 2
• 22 821: indeed, 22 821 = 7607 × 3
• 30 428: indeed, 30 428 = 7607 × 4
• 38 035: indeed, 38 035 = 7607 × 5
• etc.

## Nearest numbers from 7607

Find out whether some integer is a prime number