Is 401842121 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 401 842 121 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 401 842 121, the only two divisors are 1 and 401 842 121. Therefore 401 842 121 is a prime number.
As a consequence, 401 842 121 is only a multiple of 1 and 401 842 121.
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Since 401842121 is a prime number, 401842121 is also a deficient number, that is to say 401842121 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 401842121 without 401842121 itself (that is 1, by definition!).