Is 394 a prime number?

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

For 394, the answer is: No, 394 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 394) is as follows: 1, 2, 197, 394.

For 394 to be a prime number, it would have been required that 394 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

394 is a multiple of 1
394 is a multiple of 2
394 is a multiple of 197

For 394 to be a prime number, it would have been required that 394 has only two divisors, i.e., itself and 1.

However, 394 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 394 = 2 x 197, where 2 and 197 are both prime numbers.

Is 394 a deficient number?

Yes, 394 is a deficient number, that is to say 394 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 394 without 394 itself (that is 1 + 2 + 197 = 200).

Parity of 394

394 is an even number, because it is evenly divisible by 2: 394 / 2 = 197.

Find out more:

What is an even number?

Is 394 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 394 is about 19.849.

Thus, the square root of 394 is not an integer, and therefore 394 is not a square number.

What is the square number of 394?

The square of a number (here 394) is the result of the product of this number (394) by itself (i.e., 394 × 394); the square of 394 is sometimes called "raising 394 to the power 2", or "394 squared".

The square of 394 is 155 236 because 394 × 394 = 394² = 155 236.

As a consequence, 394 is the square root of 155 236.

Number of digits of 394

394 is a number with 3 digits.

What are the multiples of 394?

The multiples of 394 are all integers evenly divisible by 394, that is all numbers such that the remainder of the division by 394 is zero. There are infinitely many multiples of 394. The smallest multiples of 394 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 394 too, since 0 × 394 = 0
394: indeed, 394 is a multiple of itself, since 394 is evenly divisible by 394 (we have 394 / 394 = 1, so the remainder of this division is indeed zero)
788: indeed, 788 = 394 × 2
1 182: indeed, 1 182 = 394 × 3
1 576: indeed, 1 576 = 394 × 4
1 970: indeed, 1 970 = 394 × 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 394). 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 19.849). 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 394

Preceding numbers: …392, 393
Following numbers: 395, 396…

Nearest numbers from 394

Preceding prime number: 389
Following prime number: 397