8763
8763 is a odd composite number that follows 8762 and precedes 8764. It is composed of 8 distinct factors: 1, 3, 23, 69, 127, 381, 2921, 8763. Its prime factorization can be written as 3 × 23 × 127. 8763 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8763 is represented as 10001000111011 in binary and 223B in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 23 × 127) reveals 3 prime building blocks.
Divisible by 2
8763 ends in 3, so it is odd.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 63 are not divisible by 4.
Divisible by 5
8763 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
8763 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 8763 within several notable number theory sequences:
Timeline
Deep dive
How 8763 breaks down
8763 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 3525, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001000111011 supports bitwise reasoning, hexadecimal 223B aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8763 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8763 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8758–8768) to tune search ranges, and educators feature 8763 in worksheets about factor trees. Its binary footprint of length 14 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 8763 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 8763
Is 8763 a prime number?
8763 is composite with 8 total factors and the prime factorization 3 × 23 × 127.
What is the prime factorization of 8763?
It breaks down as 3 × 23 × 127, multiplying the primes 3 × 23 × 127.
How is 8763 represented in binary and hexadecimal?
8763 converts to 10001000111011 in binary and 223B in hexadecimal, which are helpful for computer science applications.
Is 8763 a perfect square, cube, or triangular number?
8763 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8763?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.