Is 893 a prime number?

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

For 893, the answer is: No, 893 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 893) is as follows: 1, 19, 47, 893.

For 893 to be a prime number, it would have been required that 893 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

893 is a multiple of 1
893 is a multiple of 19
893 is a multiple of 47

For 893 to be a prime number, it would have been required that 893 has only two divisors, i.e., itself and 1.

However, 893 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 893 = 19 x 47, where 19 and 47 are both prime numbers.

Is 893 a deficient number?

Yes, 893 is a deficient number, that is to say 893 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 893 without 893 itself (that is 1 + 19 + 47 = 67).

Parity of 893

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

Find out more:

What is an even number?

Is 893 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 893 is about 29.883.

Thus, the square root of 893 is not an integer, and therefore 893 is not a square number.

What is the square number of 893?

The square of a number (here 893) is the result of the product of this number (893) by itself (i.e., 893 × 893); the square of 893 is sometimes called "raising 893 to the power 2", or "893 squared".

The square of 893 is 797 449 because 893 × 893 = 893² = 797 449.

As a consequence, 893 is the square root of 797 449.

Number of digits of 893

893 is a number with 3 digits.

What are the multiples of 893?

The multiples of 893 are all integers evenly divisible by 893, that is all numbers such that the remainder of the division by 893 is zero. There are infinitely many multiples of 893. The smallest multiples of 893 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 893 too, since 0 × 893 = 0
893: indeed, 893 is a multiple of itself, since 893 is evenly divisible by 893 (we have 893 / 893 = 1, so the remainder of this division is indeed zero)
1 786: indeed, 1 786 = 893 × 2
2 679: indeed, 2 679 = 893 × 3
3 572: indeed, 3 572 = 893 × 4
4 465: indeed, 4 465 = 893 × 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 893). 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 29.883). 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 893

Preceding numbers: …891, 892
Following numbers: 894, 895…

Nearest numbers from 893

Preceding prime number: 887
Following prime number: 907