Is 401034967 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 401 034 967 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 401 034 967, the only two divisors are 1 and 401 034 967. Therefore 401 034 967 is a prime number.
As a consequence, 401 034 967 is only a multiple of 1 and 401 034 967.
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Since 401034967 is a prime number, 401034967 is also a deficient number, that is to say 401034967 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 401034967 without 401034967 itself (that is 1, by definition!).