Is 427414307 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 427 414 307 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 427 414 307, the only two divisors are 1 and 427 414 307. Therefore 427 414 307 is a prime number.
As a consequence, 427 414 307 is only a multiple of 1 and 427 414 307.
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Since 427414307 is a prime number, 427414307 is also a deficient number, that is to say 427414307 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 427414307 without 427414307 itself (that is 1, by definition!).