Is 10972001 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 10 972 001 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 10 972 001, the only two divisors are 1 and 10 972 001. Therefore 10 972 001 is a prime number.
As a consequence, 10 972 001 is only a multiple of 1 and 10 972 001.
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Since 10972001 is a prime number, 10972001 is also a deficient number, that is to say 10972001 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10972001 without 10972001 itself (that is 1, by definition!).