10 - Wikipedia

The Nugget

Ten is not just a number; it's a foundational base for our decimal numeral system, pivotal in mathematics, geometry, and science, embodying properties and roles that connect seemingly disparate concepts across disciplines.

Key quotes

"Ten is the base of the decimal numeral system, the most common system of denoting numbers in both spoken and written language."
"Increasing a quantity by one order of magnitude is most widely understood to mean multiplying the quantity by ten."
"10 is the only number whose sum and difference of its prime divisors yield prime numbers."
"The factorial of ten is equal to the product of the factorials of the first four odd numbers."
"Ten has an aliquot sum of 8, and is the first discrete semiprime to be in deficit, as with all subsequent discrete semiprimes."

Ten serves as a fundamental anchor in defining the decimal numeral system, underscoring its omnipresence in mathematical operations and its role as an essential tool for understanding the world around us.
It holds a special place in mathematics as a composite number, a Perrin number, and a figure that is central to several important mathematical sums and sequences.

Ten's uniqueness is highlighted by its factorial being equal to the product of the factorials of the first four odd numbers and being the only number whose sum and difference of its prime divisors are prime numbers.
It stands out as the smallest semiprime that is the sum of all the distinct prime numbers from its lower factor through its higher factor, and it has specific figurate representations, like being a decagonal and centered decagonal number.

In geometry, the decagon is noted for its constructibility and relation to tiling, with ten being pivotal for understanding regular star polychora in the fourth dimension.
Ten points define a multiply transitive permutation group in higher-dimensional spaces, with implications for abstract algebra and group theory.

The significance of ten extends into science, where it is linked to the SI prefix for 10 (deca-), structures in chemistry, the atomic number of neon, and even dimensions in superstring theories.
It appears in music theory, religious symbolism, and various other fields, underlining its versatility and the depth of its influence across human knowledge and culture.

📐 In geometry, a decagon - a ten-sided polygon - highlights ten's significance in shapes and tiling.
✨ The factorial of ten intertwines with the magical properties of numbers, linking factorials of the first four odd numbers.
🔬 From the atomic number of neon to superstring theories, ten bridges the gap between the simple and the complex in science.
📏 Operating as the base of our most common numeral system, ten is a cornerstone in understanding measurements and magnitudes globally.

This summary contains AI-generated information and may have important inaccuracies or omissions.