897
897 is a odd composite number that follows 896 and precedes 898. It is composed of 8 distinct factors: 1, 3, 13, 23, 39, 69, 299, 897. Its prime factorization can be written as 3 × 13 × 23. 897 is classified as a deficient number based on the sum of its proper divisors. In computer science, 897 is represented as 1110000001 in binary and 381 in hexadecimal. Historically, it is written as DCCCXCVII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 13 × 23) reveals 3 prime building blocks.
Divisible by 2
897 ends in 7, so it is odd.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 97 are not divisible by 4.
Divisible by 5
897 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
897 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 897 within several notable number theory sequences:
Timeline
Deep dive
How 897 breaks down
897 carries 8 distinct factors and a digit signature of 24 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 447, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110000001 supports bitwise reasoning, hexadecimal 381 aligns with computing notation, and the Roman numeral DCCCXCVII keeps the encyclopedic tradition alive. These attributes make 897 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 897 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (892–902) to tune search ranges, and educators feature 897 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 897 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 897
Is 897 a prime number?
897 is composite with 8 total factors and the prime factorization 3 × 13 × 23.
What is the prime factorization of 897?
It breaks down as 3 × 13 × 23, multiplying the primes 3 × 13 × 23.
How is 897 represented in binary and hexadecimal?
897 converts to 1110000001 in binary and 381 in hexadecimal, which are helpful for computer science applications.
Is 897 a perfect square, cube, or triangular number?
897 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 897?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.