Is 682 a prime number?

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

For 682, the answer is: No, 682 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 682) is as follows: 1, 2, 11, 22, 31, 62, 341, 682.

For 682 to be a prime number, it would have been required that 682 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

682 is a multiple of 1
682 is a multiple of 2
682 is a multiple of 11
682 is a multiple of 22
682 is a multiple of 31
682 is a multiple of 62
682 is a multiple of 341

For 682 to be a prime number, it would have been required that 682 has only two divisors, i.e., itself and 1.

Is 682 a deficient number?

Yes, 682 is a deficient number, that is to say 682 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 682 without 682 itself (that is 1 + 2 + 11 + 22 + 31 + 62 + 341 = 470).

Parity of 682

682 is an even number, because it is evenly divisible by 2: 682 / 2 = 341.

Find out more:

What is an even number?

Is 682 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 682 is about 26.115.

Thus, the square root of 682 is not an integer, and therefore 682 is not a square number.

What is the square number of 682?

The square of a number (here 682) is the result of the product of this number (682) by itself (i.e., 682 × 682); the square of 682 is sometimes called "raising 682 to the power 2", or "682 squared".

The square of 682 is 465 124 because 682 × 682 = 682² = 465 124.

As a consequence, 682 is the square root of 465 124.

Number of digits of 682

682 is a number with 3 digits.

What are the multiples of 682?

The multiples of 682 are all integers evenly divisible by 682, that is all numbers such that the remainder of the division by 682 is zero. There are infinitely many multiples of 682. The smallest multiples of 682 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 682 too, since 0 × 682 = 0
682: indeed, 682 is a multiple of itself, since 682 is evenly divisible by 682 (we have 682 / 682 = 1, so the remainder of this division is indeed zero)
1 364: indeed, 1 364 = 682 × 2
2 046: indeed, 2 046 = 682 × 3
2 728: indeed, 2 728 = 682 × 4
3 410: indeed, 3 410 = 682 × 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 682). 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 26.115). 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 682

Preceding numbers: …680, 681
Following numbers: 683, 684…

Nearest numbers from 682

Preceding prime number: 677
Following prime number: 683