Is 2401 a prime number?

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

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• 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 2 401 is 49.

Therefore, the square root of 2 401 is an integer, and as a consequence 2 401 is a perfect square.

As a consequence, 49 is the square root of 2 401.

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

The square of 2 401 is 5 764 801 because 2 401 × 2 401 = 2 401² = 5 764 801.

As a consequence, 2 401 is the square root of 5 764 801.

2 401 is a number with 4 digits.

The multiples of 2 401 are all integers evenly divisible by 2 401, that is all numbers such that the remainder of the division by 2 401 is zero. There are infinitely many multiples of 2 401. The smallest multiples of 2 401 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 401 too, since 0 × 2 401 = 0
• 2 401: indeed, 2 401 is a multiple of itself, since 2 401 is evenly divisible by 2 401 (we have 2 401 / 2 401 = 1, so the remainder of this division is indeed zero)
• 4 802: indeed, 4 802 = 2 401 × 2
• 7 203: indeed, 7 203 = 2 401 × 3
• 9 604: indeed, 9 604 = 2 401 × 4
• 12 005: indeed, 12 005 = 2 401 × 5
• etc.

• Preceding numbers: …2 399, 2 400
• Following numbers: 2 402, 2 403…

Nearest numbers from 2 401

• Preceding prime number: 2 399
• Following prime number: 2 411

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• 2 401 est-il un nombre premier ?