3775
3775 is a odd composite number that follows 3774 and precedes 3776. It is composed of 6 distinct factors: 1, 5, 25, 151, 755, 3775. Its prime factorization can be written as 5^2 × 151. 3775 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3775 is represented as 111010111111 in binary and EBF in hexadecimal. Historically, it is written as MMMDCCLXXV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (5^2 × 151) reveals 3 prime building blocks.
Divisible by 2
3775 ends in 5, so it is odd.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 75 are not divisible by 4.
Divisible by 5
3775 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 22 is not a multiple of 9.
Divisible by 10
3775 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 3775 within several notable number theory sequences:
Timeline
Deep dive
How 3775 breaks down
3775 carries 6 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 937, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010111111 supports bitwise reasoning, hexadecimal EBF aligns with computing notation, and the Roman numeral MMMDCCLXXV keeps the encyclopedic tradition alive. These attributes make 3775 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3775 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3770–3780) to tune search ranges, and educators feature 3775 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 3775 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 3775
Is 3775 a prime number?
3775 is composite with 6 total factors and the prime factorization 5^2 × 151.
What is the prime factorization of 3775?
It breaks down as 5^2 × 151, multiplying the primes 5 × 5 × 151.
How is 3775 represented in binary and hexadecimal?
3775 converts to 111010111111 in binary and EBF in hexadecimal, which are helpful for computer science applications.
Is 3775 a perfect square, cube, or triangular number?
3775 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3775?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.