7755
7755 is a odd composite number that follows 7754 and precedes 7756. It is composed of 16 distinct factors: 1, 3, 5, 11, 15, 33, 47, 55, 141, 165, 235, 517, 705, 1551, 2585, 7755. Its prime factorization can be written as 3 × 5 × 11 × 47. 7755 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7755 is represented as 1111001001011 in binary and 1E4B in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (3 × 5 × 11 × 47) reveals 4 prime building blocks.
Divisible by 2
7755 ends in 5, so it is odd.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 55 are not divisible by 4.
Divisible by 5
7755 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 24 is not a multiple of 9.
Divisible by 10
7755 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 7755 within several notable number theory sequences:
Timeline
Deep dive
How 7755 breaks down
7755 carries 16 distinct factors and a digit signature of 24 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 6069, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111001001011 supports bitwise reasoning, hexadecimal 1E4B aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7755 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7755 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7750–7760) to tune search ranges, and educators feature 7755 in worksheets about factor trees. Its binary footprint of length 13 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 7755 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 7755
Is 7755 a prime number?
7755 is composite with 16 total factors and the prime factorization 3 × 5 × 11 × 47.
What is the prime factorization of 7755?
It breaks down as 3 × 5 × 11 × 47, multiplying the primes 3 × 5 × 11 × 47.
How is 7755 represented in binary and hexadecimal?
7755 converts to 1111001001011 in binary and 1E4B in hexadecimal, which are helpful for computer science applications.
Is 7755 a perfect square, cube, or triangular number?
7755 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7755?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.