2763
2763 is a odd composite number that follows 2762 and precedes 2764. It is composed of 6 distinct factors: 1, 3, 9, 307, 921, 2763. Its prime factorization can be written as 3^2 × 307. 2763 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2763 is represented as 101011001011 in binary and ACB in hexadecimal. Historically, it is written as MMDCCLXIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 307) reveals 3 prime building blocks.
Divisible by 2
2763 ends in 3, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 63 are not divisible by 4.
Divisible by 5
2763 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 18 is a multiple of 9.
Divisible by 10
2763 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 2763 within several notable number theory sequences:
Timeline
Deep dive
How 2763 breaks down
2763 carries 6 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 1241, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101011001011 supports bitwise reasoning, hexadecimal ACB aligns with computing notation, and the Roman numeral MMDCCLXIII keeps the encyclopedic tradition alive. These attributes make 2763 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2763 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2758–2768) to tune search ranges, and educators feature 2763 in worksheets about factor trees. Its binary footprint of length 12 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 2763 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 2763
Is 2763 a prime number?
2763 is composite with 6 total factors and the prime factorization 3^2 × 307.
What is the prime factorization of 2763?
It breaks down as 3^2 × 307, multiplying the primes 3 × 3 × 307.
How is 2763 represented in binary and hexadecimal?
2763 converts to 101011001011 in binary and ACB in hexadecimal, which are helpful for computer science applications.
Is 2763 a perfect square, cube, or triangular number?
2763 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2763?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.