Is 774 a prime number?

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

For 774, the answer is: No, 774 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 774) is as follows: 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774.

For 774 to be a prime number, it would have been required that 774 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

774 is a multiple of 1
774 is a multiple of 2
774 is a multiple of 3
774 is a multiple of 6
774 is a multiple of 9
774 is a multiple of 18
774 is a multiple of 43
774 is a multiple of 86
774 is a multiple of 129
774 is a multiple of 258
774 is a multiple of 387

For 774 to be a prime number, it would have been required that 774 has only two divisors, i.e., itself and 1.

Is 774 a deficient number?

No, 774 is not a deficient number: to be deficient, 774 should have been such that 774 is larger than the sum of its proper divisors, i.e., the divisors of 774 without 774 itself (that is 1 + 2 + 3 + 6 + 9 + 18 + 43 + 86 + 129 + 258 + 387 = 942).

In fact, 774 is an abundant number; 774 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 6 + 9 + 18 + 43 + 86 + 129 + 258 + 387 = 942). The smallest abundant number is 12.

Parity of 774

774 is an even number, because it is evenly divisible by 2: 774 / 2 = 387.

Find out more:

What is an even number?

Is 774 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 774 is about 27.821.

Thus, the square root of 774 is not an integer, and therefore 774 is not a square number.

What is the square number of 774?

The square of a number (here 774) is the result of the product of this number (774) by itself (i.e., 774 × 774); the square of 774 is sometimes called "raising 774 to the power 2", or "774 squared".

The square of 774 is 599 076 because 774 × 774 = 774² = 599 076.

As a consequence, 774 is the square root of 599 076.

Number of digits of 774

774 is a number with 3 digits.

What are the multiples of 774?

The multiples of 774 are all integers evenly divisible by 774, that is all numbers such that the remainder of the division by 774 is zero. There are infinitely many multiples of 774. The smallest multiples of 774 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 774 too, since 0 × 774 = 0
774: indeed, 774 is a multiple of itself, since 774 is evenly divisible by 774 (we have 774 / 774 = 1, so the remainder of this division is indeed zero)
1 548: indeed, 1 548 = 774 × 2
2 322: indeed, 2 322 = 774 × 3
3 096: indeed, 3 096 = 774 × 4
3 870: indeed, 3 870 = 774 × 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 774). 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 27.821). 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 774

Preceding numbers: …772, 773
Following numbers: 775, 776…

Nearest numbers from 774

Preceding prime number: 773
Following prime number: 787