Is 978274093 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 978 274 093 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 978 274 093, the only two divisors are 1 and 978 274 093. Therefore 978 274 093 is a prime number.
As a consequence, 978 274 093 is only a multiple of 1 and 978 274 093.
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Since 978274093 is a prime number, 978274093 is also a deficient number, that is to say 978274093 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 978274093 without 978274093 itself (that is 1, by definition!).