Is 992 a prime number?

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

For 992, the answer is: No, 992 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 992) is as follows: 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992.

For 992 to be a prime number, it would have been required that 992 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

992 is a multiple of 1
992 is a multiple of 2
992 is a multiple of 4
992 is a multiple of 8
992 is a multiple of 16
992 is a multiple of 31
992 is a multiple of 32
992 is a multiple of 62
992 is a multiple of 124
992 is a multiple of 248
992 is a multiple of 496

For 992 to be a prime number, it would have been required that 992 has only two divisors, i.e., itself and 1.

Is 992 a deficient number?

No, 992 is not a deficient number: to be deficient, 992 should have been such that 992 is larger than the sum of its proper divisors, i.e., the divisors of 992 without 992 itself (that is 1 + 2 + 4 + 8 + 16 + 31 + 32 + 62 + 124 + 248 + 496 = 1 024).

In fact, 992 is an abundant number; 992 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 4 + 8 + 16 + 31 + 32 + 62 + 124 + 248 + 496 = 1 024). The smallest abundant number is 12.

Parity of 992

992 is an even number, because it is evenly divisible by 2: 992 / 2 = 496.

Find out more:

What is an even number?

Is 992 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 992 is about 31.496.

Thus, the square root of 992 is not an integer, and therefore 992 is not a square number.

What is the square number of 992?

The square of a number (here 992) is the result of the product of this number (992) by itself (i.e., 992 × 992); the square of 992 is sometimes called "raising 992 to the power 2", or "992 squared".

The square of 992 is 984 064 because 992 × 992 = 992² = 984 064.

As a consequence, 992 is the square root of 984 064.

Number of digits of 992

992 is a number with 3 digits.

What are the multiples of 992?

The multiples of 992 are all integers evenly divisible by 992, that is all numbers such that the remainder of the division by 992 is zero. There are infinitely many multiples of 992. The smallest multiples of 992 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 992 too, since 0 × 992 = 0
992: indeed, 992 is a multiple of itself, since 992 is evenly divisible by 992 (we have 992 / 992 = 1, so the remainder of this division is indeed zero)
1 984: indeed, 1 984 = 992 × 2
2 976: indeed, 2 976 = 992 × 3
3 968: indeed, 3 968 = 992 × 4
4 960: indeed, 4 960 = 992 × 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 992). 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 31.496). 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 992

Preceding numbers: …990, 991
Following numbers: 993, 994…

Nearest numbers from 992

Preceding prime number: 991
Following prime number: 997