Is 408929309 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 408 929 309 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 408 929 309, the only two divisors are 1 and 408 929 309. Therefore 408 929 309 is a prime number.
As a consequence, 408 929 309 is only a multiple of 1 and 408 929 309.
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Since 408929309 is a prime number, 408929309 is also a deficient number, that is to say 408929309 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 408929309 without 408929309 itself (that is 1, by definition!).