Is 473676271 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 473 676 271 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 473 676 271, the only two divisors are 1 and 473 676 271. Therefore 473 676 271 is a prime number.
As a consequence, 473 676 271 is only a multiple of 1 and 473 676 271.
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Since 473676271 is a prime number, 473676271 is also a deficient number, that is to say 473676271 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 473676271 without 473676271 itself (that is 1, by definition!).