Is 6763 a prime number? What are the divisors of 6763?

Is 6763 a prime number?

Yes, 6763 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 6763, the only two divisors are 1 and 6763. Therefore 6763 is a prime number.

As a consequence, 6763 is only a multiple of 1 and 6763.

Since 6763 is a prime number, 6763 is also a deficient number, that is to say 6763 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 6763 without 6763 itself (that is 1, by definition!).

Parity of 6763

6763 is an odd number, because it is not evenly divisible by 2.

Is 6763 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 6763 is about 82.237.

Thus, the square root of 6763 is not an integer, and therefore 6763 is not a square number.

Anyway, 6763 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 6763?

The square of a number (here 6763) is the result of the product of this number (6763) by itself (i.e., 6763 × 6763); the square of 6763 is sometimes called "raising 6763 to the power 2", or "6763 squared".

The square of 6763 is 45 738 169 because 6763 × 6763 = 67632 = 45 738 169.

As a consequence, 6763 is the square root of 45 738 169.

Number of digits of 6763

6763 is a number with 4 digits.

What are the multiples of 6763?

The multiples of 6763 are all integers evenly divisible by 6763, that is all numbers such that the remainder of the division by 6763 is zero. There are infinitely many multiples of 6763. The smallest multiples of 6763 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6763 too, since 0 × 6763 = 0
  • 6763: indeed, 6763 is a multiple of itself, since 6763 is evenly divisible by 6763 (we have 6763 / 6763 = 1, so the remainder of this division is indeed zero)
  • 13 526: indeed, 13 526 = 6763 × 2
  • 20 289: indeed, 20 289 = 6763 × 3
  • 27 052: indeed, 27 052 = 6763 × 4
  • 33 815: indeed, 33 815 = 6763 × 5
  • etc.

Numbers near 6763

Nearest numbers from 6763

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