Is 970073309 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 970 073 309 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 970 073 309, the only two divisors are 1 and 970 073 309. Therefore 970 073 309 is a prime number.
As a consequence, 970 073 309 is only a multiple of 1 and 970 073 309.
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Since 970073309 is a prime number, 970073309 is also a deficient number, that is to say 970073309 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 970073309 without 970073309 itself (that is 1, by definition!).