2173
2173 is a odd composite number that follows 2172 and precedes 2174. It is composed of 4 distinct factors: 1, 41, 53, 2173. Its prime factorization can be written as 41 × 53. 2173 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2173 is represented as 100001111101 in binary and 87D in hexadecimal. Historically, it is written as MMCLXXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (41 × 53) reveals 2 prime building blocks.
Divisible by 2
2173 ends in 3, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
2173 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 13 is not a multiple of 9.
Divisible by 10
2173 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 2173 within several notable number theory sequences:
Timeline
Deep dive
How 2173 breaks down
2173 carries 4 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 95, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100001111101 supports bitwise reasoning, hexadecimal 87D aligns with computing notation, and the Roman numeral MMCLXXIII keeps the encyclopedic tradition alive. These attributes make 2173 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2173 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2168–2178) to tune search ranges, and educators feature 2173 in worksheets about factor trees. Its binary footprint of length 12 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 2173 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 2173
Is 2173 a prime number?
2173 is composite with 4 total factors and the prime factorization 41 × 53.
What is the prime factorization of 2173?
It breaks down as 41 × 53, multiplying the primes 41 × 53.
How is 2173 represented in binary and hexadecimal?
2173 converts to 100001111101 in binary and 87D in hexadecimal, which are helpful for computer science applications.
Is 2173 a perfect square, cube, or triangular number?
2173 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2173?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.