2759

2759 is a natural number that lies between 2758 and 2760. It is odd and composite. Its prime factorization is 31 × 89, making 2759 a semiprime and not a prime.

The positive divisors of 2759 are 1, 31, 89, and 2759. Because it is the product of two distinct primes, 2759 is square-free.

In different numeral systems, 2759 is represented as follows: in binary, 101011000111; in hexadecimal, AC7; in Roman numerals, MMDCCLIX.

Numerical properties of 2759 include a digit sum of 23, giving a digital root of 5. It is congruent to 3 modulo 4 and to 7 modulo 8. These simple congruences reflect its position in modular arithmetic and its status as a product of two odd primes.

As a simple example in number theory, 2759 is often cited alongside other semiprimes to illustrate factorization, divisibility, and representation in various bases. One of its prime factors, 89, is a Fibonacci number, while 31 is not, highlighting how semiprimes can combine primes from different numerical families. The number’s compact factorization also makes it convenient for exercises in primality testing and divisor enumeration.

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