868
868 is a even composite number that follows 867 and precedes 869. It is composed of 12 distinct factors: 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868. Its prime factorization can be written as 2^2 × 7 × 31. 868 is classified as a abundant number based on the sum of its proper divisors. In computer science, 868 is represented as 1101100100 in binary and 364 in hexadecimal. Historically, it is written as DCCCLXVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 7 × 31) reveals 4 prime building blocks.
Divisible by 2
868 ends in 8, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 68 form a multiple of 4.
Divisible by 5
868 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 22 is not a multiple of 9.
Divisible by 10
868 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Abundant classification and digit analytics place 868 within several notable number theory sequences:
Timeline
Deep dive
How 868 breaks down
868 carries 12 distinct factors and a digit signature of 22 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 924, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101100100 supports bitwise reasoning, hexadecimal 364 aligns with computing notation, and the Roman numeral DCCCLXVIII keeps the encyclopedic tradition alive. These attributes make 868 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 868 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (863–873) to tune search ranges, and educators feature 868 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 868 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 868
Is 868 a prime number?
868 is composite with 12 total factors and the prime factorization 2^2 × 7 × 31.
What is the prime factorization of 868?
It breaks down as 2^2 × 7 × 31, multiplying the primes 2 × 2 × 7 × 31.
How is 868 represented in binary and hexadecimal?
868 converts to 1101100100 in binary and 364 in hexadecimal, which are helpful for computer science applications.
Is 868 a perfect square, cube, or triangular number?
868 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 868?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.