Is 62 a prime number?

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

For 62, the answer is: No, 62 is not a prime number.

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

For 62 to be a prime number, it would have been required that 62 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

62 is a multiple of 1
62 is a multiple of 2
62 is a multiple of 31

For 62 to be a prime number, it would have been required that 62 has only two divisors, i.e., itself and 1.

However, 62 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 62 = 2 x 31, where 2 and 31 are both prime numbers.

Is 62 a deficient number?

Yes, 62 is a deficient number, that is to say 62 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 62 without 62 itself (that is 1 + 2 + 31 = 34).

Parity of 62

62 is an even number, because it is evenly divisible by 2: 62 / 2 = 31.

Find out more:

What is an even number?

Is 62 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 62 is about 7.874.

Thus, the square root of 62 is not an integer, and therefore 62 is not a square number.

What is the square number of 62?

The square of a number (here 62) is the result of the product of this number (62) by itself (i.e., 62 × 62); the square of 62 is sometimes called "raising 62 to the power 2", or "62 squared".

The square of 62 is 3 844 because 62 × 62 = 62² = 3 844.

As a consequence, 62 is the square root of 3 844.

Number of digits of 62

62 is a number with 2 digits.

What are the multiples of 62?

The multiples of 62 are all integers evenly divisible by 62, that is all numbers such that the remainder of the division by 62 is zero. There are infinitely many multiples of 62. The smallest multiples of 62 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 62 too, since 0 × 62 = 0
62: indeed, 62 is a multiple of itself, since 62 is evenly divisible by 62 (we have 62 / 62 = 1, so the remainder of this division is indeed zero)
124: indeed, 124 = 62 × 2
186: indeed, 186 = 62 × 3
248: indeed, 248 = 62 × 4
310: indeed, 310 = 62 × 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 62). 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 7.874). 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 62

Preceding numbers: …60, 61
Following numbers: 63, 64…

Nearest numbers from 62

Preceding prime number: 61
Following prime number: 67