Is 694 a prime number?

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

For 694, the answer is: No, 694 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 694) is as follows: 1, 2, 347, 694.

For 694 to be a prime number, it would have been required that 694 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

694 is a multiple of 1
694 is a multiple of 2
694 is a multiple of 347

For 694 to be a prime number, it would have been required that 694 has only two divisors, i.e., itself and 1.

However, 694 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 694 = 2 x 347, where 2 and 347 are both prime numbers.

Is 694 a deficient number?

Yes, 694 is a deficient number, that is to say 694 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 694 without 694 itself (that is 1 + 2 + 347 = 350).

Parity of 694

694 is an even number, because it is evenly divisible by 2: 694 / 2 = 347.

Find out more:

What is an even number?

Is 694 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 694 is about 26.344.

Thus, the square root of 694 is not an integer, and therefore 694 is not a square number.

What is the square number of 694?

The square of a number (here 694) is the result of the product of this number (694) by itself (i.e., 694 × 694); the square of 694 is sometimes called "raising 694 to the power 2", or "694 squared".

The square of 694 is 481 636 because 694 × 694 = 694² = 481 636.

As a consequence, 694 is the square root of 481 636.

Number of digits of 694

694 is a number with 3 digits.

What are the multiples of 694?

The multiples of 694 are all integers evenly divisible by 694, that is all numbers such that the remainder of the division by 694 is zero. There are infinitely many multiples of 694. The smallest multiples of 694 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 694 too, since 0 × 694 = 0
694: indeed, 694 is a multiple of itself, since 694 is evenly divisible by 694 (we have 694 / 694 = 1, so the remainder of this division is indeed zero)
1 388: indeed, 1 388 = 694 × 2
2 082: indeed, 2 082 = 694 × 3
2 776: indeed, 2 776 = 694 × 4
3 470: indeed, 3 470 = 694 × 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 694). 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 26.344). 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 694

Preceding numbers: …692, 693
Following numbers: 695, 696…

Nearest numbers from 694

Preceding prime number: 691
Following prime number: 701