Is 952 a prime number?

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

For 952, the answer is: No, 952 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 952) is as follows: 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952.

For 952 to be a prime number, it would have been required that 952 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

952 is a multiple of 1
952 is a multiple of 2
952 is a multiple of 4
952 is a multiple of 7
952 is a multiple of 8
952 is a multiple of 14
952 is a multiple of 17
952 is a multiple of 28
952 is a multiple of 34
952 is a multiple of 56
952 is a multiple of 68
952 is a multiple of 119
952 is a multiple of 136
952 is a multiple of 238
952 is a multiple of 476

For 952 to be a prime number, it would have been required that 952 has only two divisors, i.e., itself and 1.

Is 952 a deficient number?

No, 952 is not a deficient number: to be deficient, 952 should have been such that 952 is larger than the sum of its proper divisors, i.e., the divisors of 952 without 952 itself (that is 1 + 2 + 4 + 7 + 8 + 14 + 17 + 28 + 34 + 56 + 68 + 119 + 136 + 238 + 476 = 1 208).

In fact, 952 is an abundant number; 952 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 4 + 7 + 8 + 14 + 17 + 28 + 34 + 56 + 68 + 119 + 136 + 238 + 476 = 1 208). The smallest abundant number is 12.

Parity of 952

952 is an even number, because it is evenly divisible by 2: 952 / 2 = 476.

Find out more:

What is an even number?

Is 952 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 952 is about 30.854.

Thus, the square root of 952 is not an integer, and therefore 952 is not a square number.

What is the square number of 952?

The square of a number (here 952) is the result of the product of this number (952) by itself (i.e., 952 × 952); the square of 952 is sometimes called "raising 952 to the power 2", or "952 squared".

The square of 952 is 906 304 because 952 × 952 = 952² = 906 304.

As a consequence, 952 is the square root of 906 304.

Number of digits of 952

952 is a number with 3 digits.

What are the multiples of 952?

The multiples of 952 are all integers evenly divisible by 952, that is all numbers such that the remainder of the division by 952 is zero. There are infinitely many multiples of 952. The smallest multiples of 952 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 952 too, since 0 × 952 = 0
952: indeed, 952 is a multiple of itself, since 952 is evenly divisible by 952 (we have 952 / 952 = 1, so the remainder of this division is indeed zero)
1 904: indeed, 1 904 = 952 × 2
2 856: indeed, 2 856 = 952 × 3
3 808: indeed, 3 808 = 952 × 4
4 760: indeed, 4 760 = 952 × 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 952). 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 30.854). 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 952

Preceding numbers: …950, 951
Following numbers: 953, 954…

Nearest numbers from 952

Preceding prime number: 947
Following prime number: 953