Is 78467413 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 78 467 413 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 78 467 413, the only two divisors are 1 and 78 467 413. Therefore 78 467 413 is a prime number.
As a consequence, 78 467 413 is only a multiple of 1 and 78 467 413.
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Since 78467413 is a prime number, 78467413 is also a deficient number, that is to say 78467413 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 78467413 without 78467413 itself (that is 1, by definition!).