Is 48026311 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 026 311 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 48 026 311, the only two divisors are 1 and 48 026 311. Therefore 48 026 311 is a prime number.
As a consequence, 48 026 311 is only a multiple of 1 and 48 026 311.
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Since 48026311 is a prime number, 48026311 is also a deficient number, that is to say 48026311 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48026311 without 48026311 itself (that is 1, by definition!).