7579

7579 is a natural number that follows 7578 and precedes 7580. In decimal notation it is a four-digit odd composite number.

Its prime factorization is 11 × 13 × 53, which makes it square-free. Consequently, 7579 has eight positive divisors: 1, 11, 13, 53, 143 (11×13), 583 (11×53), 689 (13×53), and 7579 itself. Since it is the product of three distinct primes, it is not a prime and it is not a semiprime (which would have exactly two prime factors).

Euler’s totient function for 7579 is φ(7579) = (11−1)(13−1)(53−1) = 10 × 12 × 52 = 6240. This value counts the positive integers up to 7579 that are relatively prime to 7579.

In modular arithmetic, 7579 is congruent to 3 modulo 4 and congruent to 1 modulo 3 and modulo 9 (since the digit sum is 28, which is 1 modulo 9). The number’s digit pattern is 7, 5, 7, 9, yielding a digit-sum of 28.

7579 is a named example in number theory of a square-free composite number with three distinct prime factors. Its properties, such as the divisor count and totient, illustrate standard concepts for products of distinct primes.