173
173 is a odd prime number that follows 172 and precedes 174. As a prime number, 173 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 173. 173 is classified as a deficient number based on the sum of its proper divisors. In computer science, 173 is represented as 10101101 in binary and AD in hexadecimal. Historically, it is written as CLXXIII in Roman numerals.
Factor Analysis
2 FactorsProperties
173 is prime, so its only factors are 1 and 173.
Divisible by 2
173 ends in 3, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
173 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 11 is not a multiple of 9.
Divisible by 10
173 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 173 within several notable number theory sequences:
Timeline
Deep dive
How 173 breaks down
173 carries 2 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10101101 supports bitwise reasoning, hexadecimal AD aligns with computing notation, and the Roman numeral CLXXIII keeps the encyclopedic tradition alive. These attributes make 173 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 173 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (168–178) to tune search ranges, and educators feature 173 in worksheets about prime identification. Its binary footprint of length 8 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 173 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 173
Is 173 a prime number?
173 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 173?
173 is already prime, so the factorization is simply 173.
How is 173 represented in binary and hexadecimal?
173 converts to 10101101 in binary and AD in hexadecimal, which are helpful for computer science applications.
Is 173 a perfect square, cube, or triangular number?
173 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 173?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.