Is 779 a prime number?

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

For 779, the answer is: No, 779 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 779) is as follows: 1, 19, 41, 779.

For 779 to be a prime number, it would have been required that 779 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

779 is a multiple of 1
779 is a multiple of 19
779 is a multiple of 41

For 779 to be a prime number, it would have been required that 779 has only two divisors, i.e., itself and 1.

However, 779 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 779 = 19 x 41, where 19 and 41 are both prime numbers.

Is 779 a deficient number?

Yes, 779 is a deficient number, that is to say 779 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 779 without 779 itself (that is 1 + 19 + 41 = 61).

Parity of 779

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

Find out more:

What is an even number?

Is 779 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 779 is about 27.911.

Thus, the square root of 779 is not an integer, and therefore 779 is not a square number.

What is the square number of 779?

The square of a number (here 779) is the result of the product of this number (779) by itself (i.e., 779 × 779); the square of 779 is sometimes called "raising 779 to the power 2", or "779 squared".

The square of 779 is 606 841 because 779 × 779 = 779² = 606 841.

As a consequence, 779 is the square root of 606 841.

Number of digits of 779

779 is a number with 3 digits.

What are the multiples of 779?

The multiples of 779 are all integers evenly divisible by 779, that is all numbers such that the remainder of the division by 779 is zero. There are infinitely many multiples of 779. The smallest multiples of 779 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 779 too, since 0 × 779 = 0
779: indeed, 779 is a multiple of itself, since 779 is evenly divisible by 779 (we have 779 / 779 = 1, so the remainder of this division is indeed zero)
1 558: indeed, 1 558 = 779 × 2
2 337: indeed, 2 337 = 779 × 3
3 116: indeed, 3 116 = 779 × 4
3 895: indeed, 3 895 = 779 × 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 779). 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 27.911). 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 779

Preceding numbers: …777, 778
Following numbers: 780, 781…

Nearest numbers from 779

Preceding prime number: 773
Following prime number: 787