Is 836 a prime number?

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

For 836, the answer is: No, 836 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 836) is as follows: 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836.

For 836 to be a prime number, it would have been required that 836 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

836 is a multiple of 1
836 is a multiple of 2
836 is a multiple of 4
836 is a multiple of 11
836 is a multiple of 19
836 is a multiple of 22
836 is a multiple of 38
836 is a multiple of 44
836 is a multiple of 76
836 is a multiple of 209
836 is a multiple of 418

For 836 to be a prime number, it would have been required that 836 has only two divisors, i.e., itself and 1.

Is 836 a deficient number?

No, 836 is not a deficient number: to be deficient, 836 should have been such that 836 is larger than the sum of its proper divisors, i.e., the divisors of 836 without 836 itself (that is 1 + 2 + 4 + 11 + 19 + 22 + 38 + 44 + 76 + 209 + 418 = 844).

In fact, 836 is an abundant number; 836 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 4 + 11 + 19 + 22 + 38 + 44 + 76 + 209 + 418 = 844). The smallest abundant number is 12.

Parity of 836

836 is an even number, because it is evenly divisible by 2: 836 / 2 = 418.

Find out more:

What is an even number?

Is 836 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 836 is about 28.914.

Thus, the square root of 836 is not an integer, and therefore 836 is not a square number.

What is the square number of 836?

The square of a number (here 836) is the result of the product of this number (836) by itself (i.e., 836 × 836); the square of 836 is sometimes called "raising 836 to the power 2", or "836 squared".

The square of 836 is 698 896 because 836 × 836 = 836² = 698 896.

As a consequence, 836 is the square root of 698 896.

Number of digits of 836

836 is a number with 3 digits.

What are the multiples of 836?

The multiples of 836 are all integers evenly divisible by 836, that is all numbers such that the remainder of the division by 836 is zero. There are infinitely many multiples of 836. The smallest multiples of 836 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 836 too, since 0 × 836 = 0
836: indeed, 836 is a multiple of itself, since 836 is evenly divisible by 836 (we have 836 / 836 = 1, so the remainder of this division is indeed zero)
1 672: indeed, 1 672 = 836 × 2
2 508: indeed, 2 508 = 836 × 3
3 344: indeed, 3 344 = 836 × 4
4 180: indeed, 4 180 = 836 × 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 836). 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 28.914). 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 836

Preceding numbers: …834, 835
Following numbers: 837, 838…

Nearest numbers from 836

Preceding prime number: 829
Following prime number: 839