Is 14142001 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 14 142 001 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 14 142 001, the only two divisors are 1 and 14 142 001. Therefore 14 142 001 is a prime number.
As a consequence, 14 142 001 is only a multiple of 1 and 14 142 001.
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Since 14142001 is a prime number, 14142001 is also a deficient number, that is to say 14142001 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 14142001 without 14142001 itself (that is 1, by definition!).