Is 46729129 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 46 729 129 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 46 729 129, the only two divisors are 1 and 46 729 129. Therefore 46 729 129 is a prime number.
As a consequence, 46 729 129 is only a multiple of 1 and 46 729 129.
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Since 46729129 is a prime number, 46729129 is also a deficient number, that is to say 46729129 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 46729129 without 46729129 itself (that is 1, by definition!).