Is 46842493 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 46 842 493 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 46 842 493, the only two divisors are 1 and 46 842 493. Therefore 46 842 493 is a prime number.
As a consequence, 46 842 493 is only a multiple of 1 and 46 842 493.
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Since 46842493 is a prime number, 46842493 is also a deficient number, that is to say 46842493 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 46842493 without 46842493 itself (that is 1, by definition!).