Is 48126413 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 126 413 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 48 126 413, the only two divisors are 1 and 48 126 413. Therefore 48 126 413 is a prime number.
As a consequence, 48 126 413 is only a multiple of 1 and 48 126 413.
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Since 48126413 is a prime number, 48126413 is also a deficient number, that is to say 48126413 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48126413 without 48126413 itself (that is 1, by definition!).