6526

6526 is a positive integer in the decimal counting sequence. It is an even composite number, with prime factorization 2 × 13 × 251, making it squarefree with three distinct prime factors. Consequently, it has eight positive divisors: 1, 2, 13, 26, 251, 502, 3263, and 6526. The Euler totient is φ(6526) = 3000, and the sum of its divisors is σ(6526) = 10584. The digit sum is 19, giving a digital root of 1; modulo arithmetic shows 6526 ≡ 1 (mod 3) and ≡ 1 (mod 9). In base representations, 6526 is written as 1100101111110 in binary, 0x197E in hexadecimal, and 14576 in octal.

These properties illustrate common features of a three-prime, squarefree integer. The number is not prime, nor a pure power, and it does not have a widely recognized named sequence beyond its role as an example in factorization and arithmetic discussions. It can serve as a test case for algorithms involving divisors, totients, and base conversions.