Is 98010001 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 98 010 001 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 98 010 001, the only two divisors are 1 and 98 010 001. Therefore 98 010 001 is a prime number.
As a consequence, 98 010 001 is only a multiple of 1 and 98 010 001.
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Since 98010001 is a prime number, 98010001 is also a deficient number, that is to say 98010001 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 98010001 without 98010001 itself (that is 1, by definition!).