Is 400404289 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 400 404 289 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 400 404 289, the only two divisors are 1 and 400 404 289. Therefore 400 404 289 is a prime number.
As a consequence, 400 404 289 is only a multiple of 1 and 400 404 289.
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Since 400404289 is a prime number, 400404289 is also a deficient number, that is to say 400404289 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 400404289 without 400404289 itself (that is 1, by definition!).