879
879 is a odd composite number that follows 878 and precedes 880. It is composed of 4 distinct factors: 1, 3, 293, 879. Its prime factorization can be written as 3 × 293. 879 is classified as a deficient number based on the sum of its proper divisors. In computer science, 879 is represented as 1101101111 in binary and 36F in hexadecimal. Historically, it is written as DCCCLXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 293) reveals 2 prime building blocks.
Divisible by 2
879 ends in 9, so it is odd.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
879 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 24 is not a multiple of 9.
Divisible by 10
879 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 879 within several notable number theory sequences:
Timeline
Deep dive
How 879 breaks down
879 carries 4 distinct factors and a digit signature of 24 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 297, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101101111 supports bitwise reasoning, hexadecimal 36F aligns with computing notation, and the Roman numeral DCCCLXXIX keeps the encyclopedic tradition alive. These attributes make 879 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 879 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (874–884) to tune search ranges, and educators feature 879 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 879 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 879
Is 879 a prime number?
879 is composite with 4 total factors and the prime factorization 3 × 293.
What is the prime factorization of 879?
It breaks down as 3 × 293, multiplying the primes 3 × 293.
How is 879 represented in binary and hexadecimal?
879 converts to 1101101111 in binary and 36F in hexadecimal, which are helpful for computer science applications.
Is 879 a perfect square, cube, or triangular number?
879 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 879?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.