878
878 is a even composite number that follows 877 and precedes 879. It is composed of 4 distinct factors: 1, 2, 439, 878. Its prime factorization can be written as 2 × 439. 878 is classified as a deficient number based on the sum of its proper divisors. In computer science, 878 is represented as 1101101110 in binary and 36E in hexadecimal. Historically, it is written as DCCCLXXVIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 439) reveals 2 prime building blocks.
Divisible by 2
878 ends in 8, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 78 are not divisible by 4.
Divisible by 5
878 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 23 is not a multiple of 9.
Divisible by 10
878 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 878 within several notable number theory sequences:
Timeline
Deep dive
How 878 breaks down
878 carries 4 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 442, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101101110 supports bitwise reasoning, hexadecimal 36E aligns with computing notation, and the Roman numeral DCCCLXXVIII keeps the encyclopedic tradition alive. These attributes make 878 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 878 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (873–883) to tune search ranges, and educators feature 878 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 878 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 878
Is 878 a prime number?
878 is composite with 4 total factors and the prime factorization 2 × 439.
What is the prime factorization of 878?
It breaks down as 2 × 439, multiplying the primes 2 × 439.
How is 878 represented in binary and hexadecimal?
878 converts to 1101101110 in binary and 36E in hexadecimal, which are helpful for computer science applications.
Is 878 a perfect square, cube, or triangular number?
878 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 878?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.