MetaNumbers.com is a free mathematical tool that provides detailed information about any ... More

*Published 20 Nov 2019*

I believe that it was the German mathematician Carl Friedrich Gauss who said that "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." If you're not sure what a number theorist is, I will tell you now. Number theorists study prime numbers as well as the properties of objects made out of integers or defined as generalisations of the integers. It used to be called arithmetic back in the early part of the 20th Century but, over the years, that term has been stretched to cover several other different forms of mathematics.

There you go. I'm betting that there aren't many readers out there that knew that. Not being a math wizard, I certainly didn't. So, what's that got to do with the app that we are reviewing today? Well, the MetaNumbers app is a free mathematical tool that delivers detailed information about any positive natural number. Actually, that's not quite true because the highest number it will provide information on is 9223372036854775807 but that could be called splitting hairs by some.

So, what is a prime number? Well, it's a natural numbe**r** that is** **greater than 1 and cannot be formed by multiplying two smaller natural numbers. For example, 5 is prime because the only ways of writing it as a product - 1 × 5 or 5 × 1 - involves 5 itself. A natural number greater than 1 that is not prime is called a composite number. The number 6 is composite because it is the product of two numbers (2 × 3) that are both smaller than 6. Prime numbers are central to number theory because of the fundamental theorem that every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order.

MetaNumbers is a very easy to use app. Simply type a number (n) into the search field - whether in decimal, factorized, binary or hexadecimal form - and you'll be able to check immediately whether (n) is a prime number or not, which number class it belongs to, decipher the prime factorization of (n) and all of its positive divisors or automatically compute different arithmetic functions - such as the prime omega functions ω(*n*) and Ω(*n*), the divisor function τ(*n*), the sum of divisors function σ(*n*), the Euler's totient function φ(*n*), the Möbius function μ(*n*), the Liouville function λ(*n*), the prime counting function π(*n*) or the von Mangoldt function Λ(*n*). - that are all used in the field of number theory. You can also check which classes a number belongs to (among more than 70, such as the square, the perfect or the Fibonacci numbers) and convert (*n*) to binary, octal, hexadecimal, etc. Phew, that was a mouthful.

MetaNumbers is a very useful tool for both business and education. Not to the regular 'person on the street' maybe, but certainly for math teachers and computer scientists, among others. It's ridiculously easy to use - you just have to input the number you are looking at (whatever it may be) - and you'll immediately find out all the information that you are looking for regarding that number. All you budding mathematicians, scientists and students can get MetaNumbers for free right now.

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