Is 994 a prime number?

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

For 994, the answer is: No, 994 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 994) is as follows: 1, 2, 7, 14, 71, 142, 497, 994.

For 994 to be a prime number, it would have been required that 994 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

994 is a multiple of 1
994 is a multiple of 2
994 is a multiple of 7
994 is a multiple of 14
994 is a multiple of 71
994 is a multiple of 142
994 is a multiple of 497

For 994 to be a prime number, it would have been required that 994 has only two divisors, i.e., itself and 1.

Is 994 a deficient number?

Yes, 994 is a deficient number, that is to say 994 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 994 without 994 itself (that is 1 + 2 + 7 + 14 + 71 + 142 + 497 = 734).

Parity of 994

994 is an even number, because it is evenly divisible by 2: 994 / 2 = 497.

Find out more:

What is an even number?

Is 994 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 994 is about 31.528.

Thus, the square root of 994 is not an integer, and therefore 994 is not a square number.

What is the square number of 994?

The square of a number (here 994) is the result of the product of this number (994) by itself (i.e., 994 × 994); the square of 994 is sometimes called "raising 994 to the power 2", or "994 squared".

The square of 994 is 988 036 because 994 × 994 = 994² = 988 036.

As a consequence, 994 is the square root of 988 036.

Number of digits of 994

994 is a number with 3 digits.

What are the multiples of 994?

The multiples of 994 are all integers evenly divisible by 994, that is all numbers such that the remainder of the division by 994 is zero. There are infinitely many multiples of 994. The smallest multiples of 994 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 994 too, since 0 × 994 = 0
994: indeed, 994 is a multiple of itself, since 994 is evenly divisible by 994 (we have 994 / 994 = 1, so the remainder of this division is indeed zero)
1 988: indeed, 1 988 = 994 × 2
2 982: indeed, 2 982 = 994 × 3
3 976: indeed, 3 976 = 994 × 4
4 970: indeed, 4 970 = 994 × 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 994). 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 31.528). 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 994

Preceding numbers: …992, 993
Following numbers: 995, 996…

Nearest numbers from 994

Preceding prime number: 991
Following prime number: 997