2764
2764 is a even composite number that follows 2763 and precedes 2765. It is composed of 6 distinct factors: 1, 2, 4, 691, 1382, 2764. Its prime factorization can be written as 2^2 × 691. 2764 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2764 is represented as 101011001100 in binary and ACC in hexadecimal. Historically, it is written as MMDCCLXIV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 691) reveals 3 prime building blocks.
Divisible by 2
2764 ends in 4, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
2764 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 19 is not a multiple of 9.
Divisible by 10
2764 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 2764 within several notable number theory sequences:
Timeline
Deep dive
How 2764 breaks down
2764 carries 6 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 2080, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101011001100 supports bitwise reasoning, hexadecimal ACC aligns with computing notation, and the Roman numeral MMDCCLXIV keeps the encyclopedic tradition alive. These attributes make 2764 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2764 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2759–2769) to tune search ranges, and educators feature 2764 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 2764 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 2764
Is 2764 a prime number?
2764 is composite with 6 total factors and the prime factorization 2^2 × 691.
What is the prime factorization of 2764?
It breaks down as 2^2 × 691, multiplying the primes 2 × 2 × 691.
How is 2764 represented in binary and hexadecimal?
2764 converts to 101011001100 in binary and ACC in hexadecimal, which are helpful for computer science applications.
Is 2764 a perfect square, cube, or triangular number?
2764 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2764?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.