Is 90838309 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 90 838 309 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 90 838 309, the only two divisors are 1 and 90 838 309. Therefore 90 838 309 is a prime number.
As a consequence, 90 838 309 is only a multiple of 1 and 90 838 309.
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Since 90838309 is a prime number, 90838309 is also a deficient number, that is to say 90838309 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 90838309 without 90838309 itself (that is 1, by definition!).