Is 420473497 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 420 473 497 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 420 473 497, the only two divisors are 1 and 420 473 497. Therefore 420 473 497 is a prime number.
As a consequence, 420 473 497 is only a multiple of 1 and 420 473 497.
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Since 420473497 is a prime number, 420473497 is also a deficient number, that is to say 420473497 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 420473497 without 420473497 itself (that is 1, by definition!).
