Is 209207267 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 209 207 267 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 209 207 267, the only two divisors are 1 and 209 207 267. Therefore 209 207 267 is a prime number.
As a consequence, 209 207 267 is only a multiple of 1 and 209 207 267.
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Since 209207267 is a prime number, 209207267 is also a deficient number, that is to say 209207267 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 209207267 without 209207267 itself (that is 1, by definition!).