Is 400003309 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 400 003 309 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 400 003 309, the only two divisors are 1 and 400 003 309. Therefore 400 003 309 is a prime number.
As a consequence, 400 003 309 is only a multiple of 1 and 400 003 309.
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Since 400003309 is a prime number, 400003309 is also a deficient number, that is to say 400003309 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 400003309 without 400003309 itself (that is 1, by definition!).