Is 476 a prime number?

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

For 476, the answer is: No, 476 is not a prime number.

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

For 476 to be a prime number, it would have been required that 476 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

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

For 476 to be a prime number, it would have been required that 476 has only two divisors, i.e., itself and 1.

Is 476 a deficient number?

No, 476 is not a deficient number: to be deficient, 476 should have been such that 476 is larger than the sum of its proper divisors, i.e., the divisors of 476 without 476 itself (that is 1 + 2 + 4 + 7 + 14 + 17 + 28 + 34 + 68 + 119 + 238 = 532).

In fact, 476 is an abundant number; 476 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 4 + 7 + 14 + 17 + 28 + 34 + 68 + 119 + 238 = 532). The smallest abundant number is 12.

Parity of 476

476 is an even number, because it is evenly divisible by 2: 476 / 2 = 238.

Find out more:

What is an even number?

Is 476 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 476 is about 21.817.

Thus, the square root of 476 is not an integer, and therefore 476 is not a square number.

What is the square number of 476?

The square of a number (here 476) is the result of the product of this number (476) by itself (i.e., 476 × 476); the square of 476 is sometimes called "raising 476 to the power 2", or "476 squared".

The square of 476 is 226 576 because 476 × 476 = 476² = 226 576.

As a consequence, 476 is the square root of 226 576.

Number of digits of 476

476 is a number with 3 digits.

What are the multiples of 476?

The multiples of 476 are all integers evenly divisible by 476, that is all numbers such that the remainder of the division by 476 is zero. There are infinitely many multiples of 476. The smallest multiples of 476 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 476 too, since 0 × 476 = 0
476: indeed, 476 is a multiple of itself, since 476 is evenly divisible by 476 (we have 476 / 476 = 1, so the remainder of this division is indeed zero)
952: indeed, 952 = 476 × 2
1 428: indeed, 1 428 = 476 × 3
1 904: indeed, 1 904 = 476 × 4
2 380: indeed, 2 380 = 476 × 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 476). 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 21.817). 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 476

Preceding numbers: …474, 475
Following numbers: 477, 478…

Nearest numbers from 476

Preceding prime number: 467
Following prime number: 479