Is 177209107 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 177 209 107 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 177 209 107, the only two divisors are 1 and 177 209 107. Therefore 177 209 107 is a prime number.
As a consequence, 177 209 107 is only a multiple of 1 and 177 209 107.
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Since 177209107 is a prime number, 177209107 is also a deficient number, that is to say 177209107 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 177209107 without 177209107 itself (that is 1, by definition!).
