Is 46671167 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 46 671 167 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 46 671 167, the only two divisors are 1 and 46 671 167. Therefore 46 671 167 is a prime number.
As a consequence, 46 671 167 is only a multiple of 1 and 46 671 167.
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Since 46671167 is a prime number, 46671167 is also a deficient number, that is to say 46671167 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 46671167 without 46671167 itself (that is 1, by definition!).