Is 37761001 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 761 001 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 37 761 001, the only two divisors are 1 and 37 761 001. Therefore 37 761 001 is a prime number.
As a consequence, 37 761 001 is only a multiple of 1 and 37 761 001.
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Since 37761001 is a prime number, 37761001 is also a deficient number, that is to say 37761001 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37761001 without 37761001 itself (that is 1, by definition!).