873
873 is a odd composite number that follows 872 and precedes 874. It is composed of 6 distinct factors: 1, 3, 9, 97, 291, 873. Its prime factorization can be written as 3^2 × 97. 873 is classified as a deficient number based on the sum of its proper divisors. In computer science, 873 is represented as 1101101001 in binary and 369 in hexadecimal. Historically, it is written as DCCCLXXIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 97) reveals 3 prime building blocks.
Divisible by 2
873 ends in 3, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
873 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 18 is a multiple of 9.
Divisible by 10
873 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 873 within several notable number theory sequences:
Timeline
Deep dive
How 873 breaks down
873 carries 6 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 401, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101101001 supports bitwise reasoning, hexadecimal 369 aligns with computing notation, and the Roman numeral DCCCLXXIII keeps the encyclopedic tradition alive. These attributes make 873 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 873 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (868–878) to tune search ranges, and educators feature 873 in worksheets about factor trees. Its binary footprint of length 10 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 873 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 873
Is 873 a prime number?
873 is composite with 6 total factors and the prime factorization 3^2 × 97.
What is the prime factorization of 873?
It breaks down as 3^2 × 97, multiplying the primes 3 × 3 × 97.
How is 873 represented in binary and hexadecimal?
873 converts to 1101101001 in binary and 369 in hexadecimal, which are helpful for computer science applications.
Is 873 a perfect square, cube, or triangular number?
873 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 873?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.