Is 15401 a prime number?

15 401 is an odd number, because it is not evenly divisible by 2.

Find out more:

• What is an even 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 15 401 is about 124.101.

Thus, the square root of 15 401 is not an integer, and therefore 15 401 is not a square number.

Anyway, 15 401 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 15 401) is the result of the product of this number (15 401) by itself (i.e., 15 401 × 15 401); the square of 15 401 is sometimes called "raising 15 401 to the power 2", or "15 401 squared".

The square of 15 401 is 237 190 801 because 15 401 × 15 401 = 15 401² = 237 190 801.

As a consequence, 15 401 is the square root of 237 190 801.

15 401 is a number with 5 digits.

The multiples of 15 401 are all integers evenly divisible by 15 401, that is all numbers such that the remainder of the division by 15 401 is zero. There are infinitely many multiples of 15 401. The smallest multiples of 15 401 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 15 401 too, since 0 × 15 401 = 0
• 15 401: indeed, 15 401 is a multiple of itself, since 15 401 is evenly divisible by 15 401 (we have 15 401 / 15 401 = 1, so the remainder of this division is indeed zero)
• 30 802: indeed, 30 802 = 15 401 × 2
• 46 203: indeed, 46 203 = 15 401 × 3
• 61 604: indeed, 61 604 = 15 401 × 4
• 77 005: indeed, 77 005 = 15 401 × 5
• etc.

• Preceding numbers: …15 399, 15 400
• Following numbers: 15 402, 15 403…

Nearest numbers from 15 401

• Preceding prime number: 15 391
• Following prime number: 15 413

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• 15 401 est-il un nombre premier ?