Is 844 a prime number?

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

For 844, the answer is: No, 844 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 844) is as follows: 1, 2, 4, 211, 422, 844.

For 844 to be a prime number, it would have been required that 844 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

844 is a multiple of 1
844 is a multiple of 2
844 is a multiple of 4
844 is a multiple of 211
844 is a multiple of 422

For 844 to be a prime number, it would have been required that 844 has only two divisors, i.e., itself and 1.

Is 844 a deficient number?

Yes, 844 is a deficient number, that is to say 844 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 844 without 844 itself (that is 1 + 2 + 4 + 211 + 422 = 640).

Parity of 844

844 is an even number, because it is evenly divisible by 2: 844 / 2 = 422.

Find out more:

What is an even number?

Is 844 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 844 is about 29.052.

Thus, the square root of 844 is not an integer, and therefore 844 is not a square number.

What is the square number of 844?

The square of a number (here 844) is the result of the product of this number (844) by itself (i.e., 844 × 844); the square of 844 is sometimes called "raising 844 to the power 2", or "844 squared".

The square of 844 is 712 336 because 844 × 844 = 844² = 712 336.

As a consequence, 844 is the square root of 712 336.

Number of digits of 844

844 is a number with 3 digits.

What are the multiples of 844?

The multiples of 844 are all integers evenly divisible by 844, that is all numbers such that the remainder of the division by 844 is zero. There are infinitely many multiples of 844. The smallest multiples of 844 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 844 too, since 0 × 844 = 0
844: indeed, 844 is a multiple of itself, since 844 is evenly divisible by 844 (we have 844 / 844 = 1, so the remainder of this division is indeed zero)
1 688: indeed, 1 688 = 844 × 2
2 532: indeed, 2 532 = 844 × 3
3 376: indeed, 3 376 = 844 × 4
4 220: indeed, 4 220 = 844 × 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 844). 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 29.052). 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 844

Preceding numbers: …842, 843
Following numbers: 845, 846…

Nearest numbers from 844

Preceding prime number: 839
Following prime number: 853