Is 636 a prime number?

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

For 636, the answer is: No, 636 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 636) is as follows: 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636.

For 636 to be a prime number, it would have been required that 636 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

636 is a multiple of 1
636 is a multiple of 2
636 is a multiple of 3
636 is a multiple of 4
636 is a multiple of 6
636 is a multiple of 12
636 is a multiple of 53
636 is a multiple of 106
636 is a multiple of 159
636 is a multiple of 212
636 is a multiple of 318

For 636 to be a prime number, it would have been required that 636 has only two divisors, i.e., itself and 1.

Is 636 a deficient number?

No, 636 is not a deficient number: to be deficient, 636 should have been such that 636 is larger than the sum of its proper divisors, i.e., the divisors of 636 without 636 itself (that is 1 + 2 + 3 + 4 + 6 + 12 + 53 + 106 + 159 + 212 + 318 = 876).

In fact, 636 is an abundant number; 636 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 4 + 6 + 12 + 53 + 106 + 159 + 212 + 318 = 876). The smallest abundant number is 12.

Parity of 636

636 is an even number, because it is evenly divisible by 2: 636 / 2 = 318.

Find out more:

What is an even number?

Is 636 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 636 is about 25.219.

Thus, the square root of 636 is not an integer, and therefore 636 is not a square number.

What is the square number of 636?

The square of a number (here 636) is the result of the product of this number (636) by itself (i.e., 636 × 636); the square of 636 is sometimes called "raising 636 to the power 2", or "636 squared".

The square of 636 is 404 496 because 636 × 636 = 636² = 404 496.

As a consequence, 636 is the square root of 404 496.

Number of digits of 636

636 is a number with 3 digits.

What are the multiples of 636?

The multiples of 636 are all integers evenly divisible by 636, that is all numbers such that the remainder of the division by 636 is zero. There are infinitely many multiples of 636. The smallest multiples of 636 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 636 too, since 0 × 636 = 0
636: indeed, 636 is a multiple of itself, since 636 is evenly divisible by 636 (we have 636 / 636 = 1, so the remainder of this division is indeed zero)
1 272: indeed, 1 272 = 636 × 2
1 908: indeed, 1 908 = 636 × 3
2 544: indeed, 2 544 = 636 × 4
3 180: indeed, 3 180 = 636 × 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 636). 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 25.219). 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 636

Preceding numbers: …634, 635
Following numbers: 637, 638…

Nearest numbers from 636

Preceding prime number: 631
Following prime number: 641