2571

2571 is a natural number that follows 2570 and precedes 2572. It is an odd, composite integer with a simple prime factorization that highlights a common class of numbers known as semiprimes.

In number theory, 2571 factors into 3 × 857, where 857 is a prime. Therefore 2571 is the product of two distinct primes and is squarefree. Its divisors are 1, 3, 857, and 2571. The sum of all divisors is 3432, and the sum of its proper divisors is 861. Euler’s totient function gives φ(2571) = (3−1) × (857−1) = 1712.

Numeration and bases: 2571 in binary is 101000001011, and in hexadecimal it is A0B. In octal it is 5013. In Roman numerals, 2571 is written as MMDLXXI (MM for 2000, D for 500, LXX for 70, and I for 1).

Cultural and mathematical notes: as a semiprime, 2571 serves as a simple example of a number that is the product of two primes. Its representations across numeral systems illustrate common bases used in mathematics and computing. Like many integers, 2571 has no widely cited unique historical or scientific significance beyond its arithmetic properties, but it remains a useful reference in demonstrations of factorization, modular arithmetic, and base conversion.