Is 46648267 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 46 648 267 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 46 648 267, the only two divisors are 1 and 46 648 267. Therefore 46 648 267 is a prime number.
As a consequence, 46 648 267 is only a multiple of 1 and 46 648 267.
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Since 46648267 is a prime number, 46648267 is also a deficient number, that is to say 46648267 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 46648267 without 46648267 itself (that is 1, by definition!).