Is 986 a prime number?

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

For 986, the answer is: No, 986 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 986) is as follows: 1, 2, 17, 29, 34, 58, 493, 986.

For 986 to be a prime number, it would have been required that 986 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

986 is a multiple of 1
986 is a multiple of 2
986 is a multiple of 17
986 is a multiple of 29
986 is a multiple of 34
986 is a multiple of 58
986 is a multiple of 493

For 986 to be a prime number, it would have been required that 986 has only two divisors, i.e., itself and 1.

Is 986 a deficient number?

Yes, 986 is a deficient number, that is to say 986 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 986 without 986 itself (that is 1 + 2 + 17 + 29 + 34 + 58 + 493 = 634).

Parity of 986

986 is an even number, because it is evenly divisible by 2: 986 / 2 = 493.

Find out more:

What is an even number?

Is 986 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 986 is about 31.401.

Thus, the square root of 986 is not an integer, and therefore 986 is not a square number.

What is the square number of 986?

The square of a number (here 986) is the result of the product of this number (986) by itself (i.e., 986 × 986); the square of 986 is sometimes called "raising 986 to the power 2", or "986 squared".

The square of 986 is 972 196 because 986 × 986 = 986² = 972 196.

As a consequence, 986 is the square root of 972 196.

Number of digits of 986

986 is a number with 3 digits.

What are the multiples of 986?

The multiples of 986 are all integers evenly divisible by 986, that is all numbers such that the remainder of the division by 986 is zero. There are infinitely many multiples of 986. The smallest multiples of 986 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 986 too, since 0 × 986 = 0
986: indeed, 986 is a multiple of itself, since 986 is evenly divisible by 986 (we have 986 / 986 = 1, so the remainder of this division is indeed zero)
1 972: indeed, 1 972 = 986 × 2
2 958: indeed, 2 958 = 986 × 3
3 944: indeed, 3 944 = 986 × 4
4 930: indeed, 4 930 = 986 × 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 986). 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 31.401). 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 986

Preceding numbers: …984, 985
Following numbers: 987, 988…

Nearest numbers from 986

Preceding prime number: 983
Following prime number: 991