2873
2873 is a odd composite number that follows 2872 and precedes 2874. It is composed of 6 distinct factors: 1, 13, 17, 169, 221, 2873. Its prime factorization can be written as 13^2 × 17. 2873 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2873 is represented as 101100111001 in binary and B39 in hexadecimal. Historically, it is written as MMDCCCLXXIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (13^2 × 17) reveals 3 prime building blocks.
Divisible by 2
2873 ends in 3, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
2873 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 20 is not a multiple of 9.
Divisible by 10
2873 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 2873 within several notable number theory sequences:
Timeline
Deep dive
How 2873 breaks down
2873 carries 6 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 421, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101100111001 supports bitwise reasoning, hexadecimal B39 aligns with computing notation, and the Roman numeral MMDCCCLXXIII keeps the encyclopedic tradition alive. These attributes make 2873 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2873 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2868–2878) to tune search ranges, and educators feature 2873 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 2873 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 2873
Is 2873 a prime number?
2873 is composite with 6 total factors and the prime factorization 13^2 × 17.
What is the prime factorization of 2873?
It breaks down as 13^2 × 17, multiplying the primes 13 × 13 × 17.
How is 2873 represented in binary and hexadecimal?
2873 converts to 101100111001 in binary and B39 in hexadecimal, which are helpful for computer science applications.
Is 2873 a perfect square, cube, or triangular number?
2873 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2873?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.