776
776 is a even composite number that follows 775 and precedes 777. It is composed of 8 distinct factors: 1, 2, 4, 8, 97, 194, 388, 776. Its prime factorization can be written as 2^3 × 97. 776 is classified as a deficient number based on the sum of its proper divisors. In computer science, 776 is represented as 1100001000 in binary and 308 in hexadecimal. Historically, it is written as DCCLXXVI in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 97) reveals 4 prime building blocks.
Divisible by 2
776 ends in 6, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 76 form a multiple of 4.
Divisible by 5
776 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
776 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 776 within several notable number theory sequences:
Timeline
Deep dive
How 776 breaks down
776 carries 8 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 694, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100001000 supports bitwise reasoning, hexadecimal 308 aligns with computing notation, and the Roman numeral DCCLXXVI keeps the encyclopedic tradition alive. These attributes make 776 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 776 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (771–781) to tune search ranges, and educators feature 776 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 776 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 776
Is 776 a prime number?
776 is composite with 8 total factors and the prime factorization 2^3 × 97.
What is the prime factorization of 776?
It breaks down as 2^3 × 97, multiplying the primes 2 × 2 × 2 × 97.
How is 776 represented in binary and hexadecimal?
776 converts to 1100001000 in binary and 308 in hexadecimal, which are helpful for computer science applications.
Is 776 a perfect square, cube, or triangular number?
776 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 776?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.