Is 75842009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 75 842 009 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 75 842 009, the only two divisors are 1 and 75 842 009. Therefore 75 842 009 is a prime number.
As a consequence, 75 842 009 is only a multiple of 1 and 75 842 009.
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Since 75842009 is a prime number, 75842009 is also a deficient number, that is to say 75842009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 75842009 without 75842009 itself (that is 1, by definition!).