896
896 is a even composite number that follows 895 and precedes 897. It is composed of 16 distinct factors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896. Its prime factorization can be written as 2^7 × 7. 896 is classified as a abundant number based on the sum of its proper divisors. In computer science, 896 is represented as 1110000000 in binary and 380 in hexadecimal. Historically, it is written as DCCCXCVI in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^7 × 7) reveals 8 prime building blocks.
Divisible by 2
896 ends in 6, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
896 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
896 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 896 within several notable number theory sequences:
Timeline
Deep dive
How 896 breaks down
896 carries 16 distinct factors and a digit signature of 23 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 1144, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110000000 supports bitwise reasoning, hexadecimal 380 aligns with computing notation, and the Roman numeral DCCCXCVI keeps the encyclopedic tradition alive. These attributes make 896 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 896 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (891–901) to tune search ranges, and educators feature 896 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 896 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 896
Is 896 a prime number?
896 is composite with 16 total factors and the prime factorization 2^7 × 7.
What is the prime factorization of 896?
It breaks down as 2^7 × 7, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7.
How is 896 represented in binary and hexadecimal?
896 converts to 1110000000 in binary and 380 in hexadecimal, which are helpful for computer science applications.
Is 896 a perfect square, cube, or triangular number?
896 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 896?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.