Is 48734321 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 734 321 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 48 734 321, the only two divisors are 1 and 48 734 321. Therefore 48 734 321 is a prime number.
As a consequence, 48 734 321 is only a multiple of 1 and 48 734 321.
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Since 48734321 is a prime number, 48734321 is also a deficient number, that is to say 48734321 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48734321 without 48734321 itself (that is 1, by definition!).