Is 400760377 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 400 760 377 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 400 760 377, the only two divisors are 1 and 400 760 377. Therefore 400 760 377 is a prime number.
As a consequence, 400 760 377 is only a multiple of 1 and 400 760 377.
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Since 400760377 is a prime number, 400760377 is also a deficient number, that is to say 400760377 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 400760377 without 400760377 itself (that is 1, by definition!).