4763
4763 is a odd composite number that follows 4762 and precedes 4764. It is composed of 4 distinct factors: 1, 11, 433, 4763. Its prime factorization can be written as 11 × 433. 4763 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4763 is represented as 1001010011011 in binary and 129B in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 433) reveals 2 prime building blocks.
Divisible by 2
4763 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 63 are not divisible by 4.
Divisible by 5
4763 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
4763 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 4763 within several notable number theory sequences:
Timeline
Deep dive
How 4763 breaks down
4763 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 445, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001010011011 supports bitwise reasoning, hexadecimal 129B aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4763 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4763 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4758–4768) to tune search ranges, and educators feature 4763 in worksheets about factor trees. Its binary footprint of length 13 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 4763 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 4763
Is 4763 a prime number?
4763 is composite with 4 total factors and the prime factorization 11 × 433.
What is the prime factorization of 4763?
It breaks down as 11 × 433, multiplying the primes 11 × 433.
How is 4763 represented in binary and hexadecimal?
4763 converts to 1001010011011 in binary and 129B in hexadecimal, which are helpful for computer science applications.
Is 4763 a perfect square, cube, or triangular number?
4763 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4763?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.