763
763 is a odd composite number that follows 762 and precedes 764. It is composed of 4 distinct factors: 1, 7, 109, 763. Its prime factorization can be written as 7 × 109. 763 is classified as a deficient number based on the sum of its proper divisors. In computer science, 763 is represented as 1011111011 in binary and 2FB in hexadecimal. Historically, it is written as DCCLXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (7 × 109) reveals 2 prime building blocks.
Divisible by 2
763 ends in 3, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 63 are not divisible by 4.
Divisible by 5
763 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 16 is not a multiple of 9.
Divisible by 10
763 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 763 within several notable number theory sequences:
Timeline
Deep dive
How 763 breaks down
763 carries 4 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 117, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011111011 supports bitwise reasoning, hexadecimal 2FB aligns with computing notation, and the Roman numeral DCCLXIII keeps the encyclopedic tradition alive. These attributes make 763 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 763 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (758–768) to tune search ranges, and educators feature 763 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 763 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 763
Is 763 a prime number?
763 is composite with 4 total factors and the prime factorization 7 × 109.
What is the prime factorization of 763?
It breaks down as 7 × 109, multiplying the primes 7 × 109.
How is 763 represented in binary and hexadecimal?
763 converts to 1011111011 in binary and 2FB in hexadecimal, which are helpful for computer science applications.
Is 763 a perfect square, cube, or triangular number?
763 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 763?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.