876
876 is a even composite number that follows 875 and precedes 877. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876. Its prime factorization can be written as 2^2 × 3 × 73. 876 is classified as a abundant number based on the sum of its proper divisors. In computer science, 876 is represented as 1101101100 in binary and 36C in hexadecimal. Historically, it is written as DCCCLXXVI in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 73) reveals 4 prime building blocks.
Divisible by 2
876 ends in 6, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 76 form a multiple of 4.
Divisible by 5
876 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 21 is not a multiple of 9.
Divisible by 10
876 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Abundant classification and digit analytics place 876 within several notable number theory sequences:
Timeline
Deep dive
How 876 breaks down
876 carries 12 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 1196, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101101100 supports bitwise reasoning, hexadecimal 36C aligns with computing notation, and the Roman numeral DCCCLXXVI keeps the encyclopedic tradition alive. These attributes make 876 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 876 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (871–881) to tune search ranges, and educators feature 876 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, Abundant numbers) help historians, numerologists, and trivia writers tie 876 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 876
Is 876 a prime number?
876 is composite with 12 total factors and the prime factorization 2^2 × 3 × 73.
What is the prime factorization of 876?
It breaks down as 2^2 × 3 × 73, multiplying the primes 2 × 2 × 3 × 73.
How is 876 represented in binary and hexadecimal?
876 converts to 1101101100 in binary and 36C in hexadecimal, which are helpful for computer science applications.
Is 876 a perfect square, cube, or triangular number?
876 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 876?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.