Is 77008049 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 77 008 049 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 77 008 049, the only two divisors are 1 and 77 008 049. Therefore 77 008 049 is a prime number.
As a consequence, 77 008 049 is only a multiple of 1 and 77 008 049.
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Since 77008049 is a prime number, 77008049 is also a deficient number, that is to say 77008049 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 77008049 without 77008049 itself (that is 1, by definition!).