Is 629 a prime number?

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

For 629, the answer is: No, 629 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 629) is as follows: 1, 17, 37, 629.

For 629 to be a prime number, it would have been required that 629 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

629 is a multiple of 1
629 is a multiple of 17
629 is a multiple of 37

For 629 to be a prime number, it would have been required that 629 has only two divisors, i.e., itself and 1.

However, 629 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 629 = 17 x 37, where 17 and 37 are both prime numbers.

Is 629 a deficient number?

Yes, 629 is a deficient number, that is to say 629 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 629 without 629 itself (that is 1 + 17 + 37 = 55).

Parity of 629

629 is an odd number, because it is not evenly divisible by 2.

Find out more:

What is an even number?

Is 629 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 629 is about 25.080.

Thus, the square root of 629 is not an integer, and therefore 629 is not a square number.

What is the square number of 629?

The square of a number (here 629) is the result of the product of this number (629) by itself (i.e., 629 × 629); the square of 629 is sometimes called "raising 629 to the power 2", or "629 squared".

The square of 629 is 395 641 because 629 × 629 = 629² = 395 641.

As a consequence, 629 is the square root of 395 641.

Number of digits of 629

629 is a number with 3 digits.

What are the multiples of 629?

The multiples of 629 are all integers evenly divisible by 629, that is all numbers such that the remainder of the division by 629 is zero. There are infinitely many multiples of 629. The smallest multiples of 629 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 629 too, since 0 × 629 = 0
629: indeed, 629 is a multiple of itself, since 629 is evenly divisible by 629 (we have 629 / 629 = 1, so the remainder of this division is indeed zero)
1 258: indeed, 1 258 = 629 × 2
1 887: indeed, 1 887 = 629 × 3
2 516: indeed, 2 516 = 629 × 4
3 145: indeed, 3 145 = 629 × 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 629). 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 25.080). 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 629

Preceding numbers: …627, 628
Following numbers: 630, 631…

Nearest numbers from 629

Preceding prime number: 619
Following prime number: 631