3755
3755 is a odd composite number that follows 3754 and precedes 3756. It is composed of 4 distinct factors: 1, 5, 751, 3755. Its prime factorization can be written as 5 × 751. 3755 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3755 is represented as 111010101011 in binary and EAB in hexadecimal. Historically, it is written as MMMDCCLV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (5 × 751) reveals 2 prime building blocks.
Divisible by 2
3755 ends in 5, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 55 are not divisible by 4.
Divisible by 5
3755 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 20 is not a multiple of 9.
Divisible by 10
3755 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 3755 within several notable number theory sequences:
Timeline
Deep dive
How 3755 breaks down
3755 carries 4 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 757, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010101011 supports bitwise reasoning, hexadecimal EAB aligns with computing notation, and the Roman numeral MMMDCCLV keeps the encyclopedic tradition alive. These attributes make 3755 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3755 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3750–3760) to tune search ranges, and educators feature 3755 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 3755 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 3755
Is 3755 a prime number?
3755 is composite with 4 total factors and the prime factorization 5 × 751.
What is the prime factorization of 3755?
It breaks down as 5 × 751, multiplying the primes 5 × 751.
How is 3755 represented in binary and hexadecimal?
3755 converts to 111010101011 in binary and EAB in hexadecimal, which are helpful for computer science applications.
Is 3755 a perfect square, cube, or triangular number?
3755 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3755?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.