What are the properties of number 1?
As the unit number, one is not composed of any other numbers and has no internal structure.
In a nutshell1 is an odd number which is uniquely neither prime nor composite. It is known as the multiplicative identity or unit. It’s also the only positive number with no other divisors.
Prime factorization of 1: 1What makes 1 an interesting number from a mathematical point of view?
Like all numbers, it has a distinctive mathematical structure. Its factors, divisors, and base properties can show some interesting behior. This page gives an overview of what makes this integer stand out. Below you’ll find its key properties, along with some statistical info, fun facts and trivia.
Notation1 can be expressed in many different ways. Apart from the usual decimal (base-10) notation, it can be written out in words or scientific notation, or it can be expressed in a different base system such as binary or hex.
Cardinal: One. Scientific notation: 1 × 100 Binary (base-2): 12 Hexadecimal (base-16): 0x1 Base-36: 1 Factors of 1Prime factors of a number are the prime numbers that multiply together to form that number. You could say that a number is made or 'composed' of its prime factors. Every whole number greater than 1 is formed from at least one prime factor.
Number of distinct prime factors ω(n): 1 Total number of prime factors Ω(n): 1 Sum of prime factors: 1 Divisors of 1Divisors are the numbers that divide a given number exactly, with no remainder.
Number of divisors d(n): 1 Complete list of divisors: 1 Sum of all divisors σ(n): 1 Sum of proper divisors (its aliquot sum) s(n): 0 1 is a deficient number, because the sum of its proper divisors (0) is less than itself. Its deficiency is 1 Roots and squares of 1Roots of a number are numbers that, when multiplied by themselves a certain number of times, give the original number. For example, the square root of four is two, because 4 = 2 × 2.
Squares are numbers obtained by multiplying a number by itself a certain number of times.
1 squared (12) is 1 1 cubed (13) is 1 1 is a perfect square number. Its square root is 1 1 is a perfect cube number. Its cube root is 1 Scales and comparisonsHow big is 1? The following comparisons will give you some idea.
A concrete block with a volume of 1 cubic inches would be around 0.1 feet tall. Fun! Recreational maths with 1 1 is the same when its digits are reversed! That makes it a palindromic number. 1 is a Harshad number. It has 1 decimal digits. If you add the digits together you get 1 More fun facts coming soon! Copy this link to share with anyone: Share this page on social media: Facebook WhatsApp LinkedIn Twitter Email Link to this pageHTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this pageMLA style:"Number 1 - Curious Math Facts and Interesting Properties". Numbermatics.com. 2025. Web. 26 December 2025.
APA style:Numbermatics. (2025). Number 1 - Curious Math Facts and Interesting Properties. Retrieved 26 December 2025, from https://numbermatics.com/n/1/
Chicago style:Numbermatics. 2025. "Number 1 - Curious Math Facts and Interesting Properties". https://numbermatics.com/n/1/
The information we he on file for 1 includes data calculated using standard algorithms and methods. We strive to maintain accuracy but if you discover an error, please let us know and we will correct. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 1, math, Factors of 1, curriculum, school, college, exams, university, Prime factorization of 1, STEM, science, technology, engineering, physics, economics, calculator, one.