5730

5730 is an integer that appears in multiple contexts, most notably in science as the half-life of carbon-14. This value is central to radiocarbon dating, a method used to estimate the ages of organic materials in archaeology, geology, and paleontology. The standard half-life is given as 5,730 years, making carbon-14 a useful chronometer for timescales up to roughly 50,000 years. The decay constant is approximately 1.21 × 10^-4 per year (λ = ln 2 / 5730).

In mathematics, 5730 has several simple factorization properties. It factors as 2 × 3 × 5 × 191, meaning it is divisible by 2, 3, 5, and 10, among other divisors. As a product of four distinct primes, it has 16 positive divisors. Its digit sum is 15, which also indicates divisibility by 3, and its last digit being zero shows divisibility by 10.

Beyond its role in radiocarbon dating, 5730 serves as an example number in number theory and educational exercises. It is not a widely recognized constant in the way some other numbers are, but its significance in dating techniques has made it a familiar figure in scientific literature and discussions of archaeology and ancient chronology.