Is 488012407 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 488 012 407 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 488 012 407, the only two divisors are 1 and 488 012 407. Therefore 488 012 407 is a prime number.
As a consequence, 488 012 407 is only a multiple of 1 and 488 012 407.
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Since 488012407 is a prime number, 488012407 is also a deficient number, that is to say 488012407 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 488012407 without 488012407 itself (that is 1, by definition!).