Is 74672201 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 74 672 201 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 74 672 201, the only two divisors are 1 and 74 672 201. Therefore 74 672 201 is a prime number.
As a consequence, 74 672 201 is only a multiple of 1 and 74 672 201.
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Since 74672201 is a prime number, 74672201 is also a deficient number, that is to say 74672201 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 74672201 without 74672201 itself (that is 1, by definition!).