Is 48826993 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 826 993 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 48 826 993, the only two divisors are 1 and 48 826 993. Therefore 48 826 993 is a prime number.
As a consequence, 48 826 993 is only a multiple of 1 and 48 826 993.
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Since 48826993 is a prime number, 48826993 is also a deficient number, that is to say 48826993 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48826993 without 48826993 itself (that is 1, by definition!).