893
893 is a odd composite number that follows 892 and precedes 894. It is composed of 4 distinct factors: 1, 19, 47, 893. Its prime factorization can be written as 19 × 47. 893 is classified as a deficient number based on the sum of its proper divisors. In computer science, 893 is represented as 1101111101 in binary and 37D in hexadecimal. Historically, it is written as DCCCXCIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (19 × 47) reveals 2 prime building blocks.
Divisible by 2
893 ends in 3, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 93 are not divisible by 4.
Divisible by 5
893 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 20 is not a multiple of 9.
Divisible by 10
893 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 893 within several notable number theory sequences:
Timeline
Deep dive
How 893 breaks down
893 carries 4 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 67, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101111101 supports bitwise reasoning, hexadecimal 37D aligns with computing notation, and the Roman numeral DCCCXCIII keeps the encyclopedic tradition alive. These attributes make 893 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 893 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (888–898) to tune search ranges, and educators feature 893 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 893 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 893
Is 893 a prime number?
893 is composite with 4 total factors and the prime factorization 19 × 47.
What is the prime factorization of 893?
It breaks down as 19 × 47, multiplying the primes 19 × 47.
How is 893 represented in binary and hexadecimal?
893 converts to 1101111101 in binary and 37D in hexadecimal, which are helpful for computer science applications.
Is 893 a perfect square, cube, or triangular number?
893 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 893?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.