2775
2775 is a odd composite number that follows 2774 and precedes 2776. It is composed of 12 distinct factors: 1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925, 2775. Its prime factorization can be written as 3 × 5^2 × 37. 2775 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2775 is represented as 101011010111 in binary and AD7 in hexadecimal. Historically, it is written as MMDCCLXXV in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
12 FactorsProperties
The prime factorization (3 × 5^2 × 37) reveals 4 prime building blocks.
Divisible by 2
2775 ends in 5, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 75 are not divisible by 4.
Divisible by 5
2775 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 21 is not a multiple of 9.
Divisible by 10
2775 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 2775 within several notable number theory sequences:
Timeline
Deep dive
How 2775 breaks down
2775 carries 12 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1937, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101011010111 supports bitwise reasoning, hexadecimal AD7 aligns with computing notation, and the Roman numeral MMDCCLXXV keeps the encyclopedic tradition alive. These attributes make 2775 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2775 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2770–2780) to tune search ranges, and educators feature 2775 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, Triangular numbers) help historians, numerologists, and trivia writers tie 2775 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 2775
Is 2775 a prime number?
2775 is composite with 12 total factors and the prime factorization 3 × 5^2 × 37.
What is the prime factorization of 2775?
It breaks down as 3 × 5^2 × 37, multiplying the primes 3 × 5 × 5 × 37.
How is 2775 represented in binary and hexadecimal?
2775 converts to 101011010111 in binary and AD7 in hexadecimal, which are helpful for computer science applications.
Is 2775 a perfect square, cube, or triangular number?
2775 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 2775?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.