Is 508457407 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 508 457 407 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 508 457 407, the only two divisors are 1 and 508 457 407. Therefore 508 457 407 is a prime number.
As a consequence, 508 457 407 is only a multiple of 1 and 508 457 407.
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Since 508457407 is a prime number, 508457407 is also a deficient number, that is to say 508457407 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 508457407 without 508457407 itself (that is 1, by definition!).