Is 40467313 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 467 313 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 40 467 313, the only two divisors are 1 and 40 467 313. Therefore 40 467 313 is a prime number.
As a consequence, 40 467 313 is only a multiple of 1 and 40 467 313.
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Since 40467313 is a prime number, 40467313 is also a deficient number, that is to say 40467313 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40467313 without 40467313 itself (that is 1, by definition!).