884
884 is a even composite number that follows 883 and precedes 885. It is composed of 12 distinct factors: 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884. Its prime factorization can be written as 2^2 × 13 × 17. 884 is classified as a deficient number based on the sum of its proper divisors. In computer science, 884 is represented as 1101110100 in binary and 374 in hexadecimal. Historically, it is written as DCCCLXXXIV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 13 × 17) reveals 4 prime building blocks.
Divisible by 2
884 ends in 4, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
884 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
884 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 884 within several notable number theory sequences:
Timeline
Deep dive
How 884 breaks down
884 carries 12 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 880, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101110100 supports bitwise reasoning, hexadecimal 374 aligns with computing notation, and the Roman numeral DCCCLXXXIV keeps the encyclopedic tradition alive. These attributes make 884 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 884 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (879–889) to tune search ranges, and educators feature 884 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 884 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 884
Is 884 a prime number?
884 is composite with 12 total factors and the prime factorization 2^2 × 13 × 17.
What is the prime factorization of 884?
It breaks down as 2^2 × 13 × 17, multiplying the primes 2 × 2 × 13 × 17.
How is 884 represented in binary and hexadecimal?
884 converts to 1101110100 in binary and 374 in hexadecimal, which are helpful for computer science applications.
Is 884 a perfect square, cube, or triangular number?
884 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 884?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.