Is 799 a prime number? What are the divisors of 799?

Is 799 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 799, the answer is: No, 799 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 799) is as follows: 1, 17, 47, 799.

To be 799 a prime number, it would have been required that 799 has only two divisors, i.e., itself and 1.

As a consequence:

  • 799 is a multiple of 1
  • 799 is a multiple of 17
  • 799 is a multiple of 47

To be 799 a prime number, it would have been required that 799 has only two divisors, i.e., itself and 1.

However, 799 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 799 = 17 x 47, where 17 and 47 are both prime numbers.

Is 799 a deficient number?

Yes, 799 is a deficient number, that is to say 799 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 799 without 799 itself (that is 1 + 17 + 47 = 65).

Parity of 799

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

Is 799 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 799 is about 28.267.

Thus, the square root of 799 is not an integer, and therefore 799 is not a square number.

What is the square number of 799?

The square of a number (here 799) is the result of the product of this number (799) by itself (i.e., 799 × 799); the square of 799 is sometimes called "raising 799 to the power 2", or "799 squared".

The square of 799 is 638 401 because 799 × 799 = 7992 = 638 401.

As a consequence, 799 is the square root of 638 401.

Number of digits of 799

799 is a number with 3 digits.

What are the multiples of 799?

The multiples of 799 are all integers evenly divisible by 799, that is all numbers such that the remainder of the division by 799 is zero. There are infinitely many multiples of 799. The smallest multiples of 799 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 799 too, since 0 × 799 = 0
  • 799: indeed, 799 is a multiple of itself, since 799 is evenly divisible by 799 (we have 799 / 799 = 1, so the remainder of this division is indeed zero)
  • 1 598: indeed, 1 598 = 799 × 2
  • 2 397: indeed, 2 397 = 799 × 3
  • 3 196: indeed, 3 196 = 799 × 4
  • 3 995: indeed, 3 995 = 799 × 5
  • etc.

How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 799). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 28.267). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

Numbers near 799

  • Preceding numbers: …797, 798
  • Following numbers: 800, 801

Nearest numbers from 799

  • Preceding prime number: 797
  • Following prime number: 809
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