3055
3055 is a odd composite number that follows 3054 and precedes 3056. It is composed of 8 distinct factors: 1, 5, 13, 47, 65, 235, 611, 3055. Its prime factorization can be written as 5 × 13 × 47. 3055 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3055 is represented as 101111101111 in binary and BEF in hexadecimal. Historically, it is written as MMMLV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (5 × 13 × 47) reveals 3 prime building blocks.
Divisible by 2
3055 ends in 5, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 55 are not divisible by 4.
Divisible by 5
3055 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 13 is not a multiple of 9.
Divisible by 10
3055 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 3055 within several notable number theory sequences:
Timeline
Deep dive
How 3055 breaks down
3055 carries 8 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 977, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101111101111 supports bitwise reasoning, hexadecimal BEF aligns with computing notation, and the Roman numeral MMMLV keeps the encyclopedic tradition alive. These attributes make 3055 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3055 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3050–3060) to tune search ranges, and educators feature 3055 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 3055 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 3055
Is 3055 a prime number?
3055 is composite with 8 total factors and the prime factorization 5 × 13 × 47.
What is the prime factorization of 3055?
It breaks down as 5 × 13 × 47, multiplying the primes 5 × 13 × 47.
How is 3055 represented in binary and hexadecimal?
3055 converts to 101111101111 in binary and BEF in hexadecimal, which are helpful for computer science applications.
Is 3055 a perfect square, cube, or triangular number?
3055 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3055?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.