Is 2677 a prime number? What are the divisors of 2677?

## Is 2677 a prime number?

Yes, 2677 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 2677, the only two divisors are 1 and 2677. Therefore 2677 is a prime number.

As a consequence, 2677 is only a multiple of 1 and 2677.

Since 2677 is a prime number, 2677 is also a deficient number, that is to say 2677 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2677 without 2677 itself (that is 1, by definition!).

## Parity of 2677

2677 is an odd number, because it is not evenly divisible by 2.

## Is 2677 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 2677 is about 51.740.

Thus, the square root of 2677 is not an integer, and therefore 2677 is not a square number.

Anyway, 2677 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2677?

The square of a number (here 2677) is the result of the product of this number (2677) by itself (i.e., 2677 × 2677); the square of 2677 is sometimes called "raising 2677 to the power 2", or "2677 squared".

The square of 2677 is 7 166 329 because 2677 × 2677 = 26772 = 7 166 329.

As a consequence, 2677 is the square root of 7 166 329.

## Number of digits of 2677

2677 is a number with 4 digits.

## What are the multiples of 2677?

The multiples of 2677 are all integers evenly divisible by 2677, that is all numbers such that the remainder of the division by 2677 is zero. There are infinitely many multiples of 2677. The smallest multiples of 2677 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2677 too, since 0 × 2677 = 0
• 2677: indeed, 2677 is a multiple of itself, since 2677 is evenly divisible by 2677 (we have 2677 / 2677 = 1, so the remainder of this division is indeed zero)
• 5 354: indeed, 5 354 = 2677 × 2
• 8 031: indeed, 8 031 = 2677 × 3
• 10 708: indeed, 10 708 = 2677 × 4
• 13 385: indeed, 13 385 = 2677 × 5
• etc.

## Nearest numbers from 2677

Find out whether some integer is a prime number