Is 62216729 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 62 216 729 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 62 216 729, the only two divisors are 1 and 62 216 729. Therefore 62 216 729 is a prime number.
As a consequence, 62 216 729 is only a multiple of 1 and 62 216 729.
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Since 62216729 is a prime number, 62216729 is also a deficient number, that is to say 62216729 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 62216729 without 62216729 itself (that is 1, by definition!).