Is 35007241 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 35 007 241 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 35 007 241, the only two divisors are 1 and 35 007 241. Therefore 35 007 241 is a prime number.
As a consequence, 35 007 241 is only a multiple of 1 and 35 007 241.
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Since 35007241 is a prime number, 35007241 is also a deficient number, that is to say 35007241 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 35007241 without 35007241 itself (that is 1, by definition!).