Is 48465133 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 465 133 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 48 465 133, the only two divisors are 1 and 48 465 133. Therefore 48 465 133 is a prime number.
As a consequence, 48 465 133 is only a multiple of 1 and 48 465 133.
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Since 48465133 is a prime number, 48465133 is also a deficient number, that is to say 48465133 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48465133 without 48465133 itself (that is 1, by definition!).