774
774 is a even composite number that follows 773 and precedes 775. It is composed of 12 distinct factors: 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774. Its prime factorization can be written as 2 × 3^2 × 43. 774 is classified as a abundant number based on the sum of its proper divisors. In computer science, 774 is represented as 1100000110 in binary and 306 in hexadecimal. Historically, it is written as DCCLXXIV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 3^2 × 43) reveals 4 prime building blocks.
Divisible by 2
774 ends in 4, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 74 are not divisible by 4.
Divisible by 5
774 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
774 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 774 within several notable number theory sequences:
Timeline
Deep dive
How 774 breaks down
774 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 942, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100000110 supports bitwise reasoning, hexadecimal 306 aligns with computing notation, and the Roman numeral DCCLXXIV keeps the encyclopedic tradition alive. These attributes make 774 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 774 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (769–779) to tune search ranges, and educators feature 774 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, Abundant numbers) help historians, numerologists, and trivia writers tie 774 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 774
Is 774 a prime number?
774 is composite with 12 total factors and the prime factorization 2 × 3^2 × 43.
What is the prime factorization of 774?
It breaks down as 2 × 3^2 × 43, multiplying the primes 2 × 3 × 3 × 43.
How is 774 represented in binary and hexadecimal?
774 converts to 1100000110 in binary and 306 in hexadecimal, which are helpful for computer science applications.
Is 774 a perfect square, cube, or triangular number?
774 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 774?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.