2655
2655 is a odd composite number that follows 2654 and precedes 2656. It is composed of 12 distinct factors: 1, 3, 5, 9, 15, 45, 59, 177, 295, 531, 885, 2655. Its prime factorization can be written as 3^2 × 5 × 59. 2655 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2655 is represented as 101001011111 in binary and A5F in hexadecimal. Historically, it is written as MMDCLV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (3^2 × 5 × 59) reveals 4 prime building blocks.
Divisible by 2
2655 ends in 5, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 55 are not divisible by 4.
Divisible by 5
2655 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 18 is a multiple of 9.
Divisible by 10
2655 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 2655 within several notable number theory sequences:
Timeline
Deep dive
How 2655 breaks down
2655 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 2025, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001011111 supports bitwise reasoning, hexadecimal A5F aligns with computing notation, and the Roman numeral MMDCLV keeps the encyclopedic tradition alive. These attributes make 2655 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2655 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2650–2660) to tune search ranges, and educators feature 2655 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 2655 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 2655
Is 2655 a prime number?
2655 is composite with 12 total factors and the prime factorization 3^2 × 5 × 59.
What is the prime factorization of 2655?
It breaks down as 3^2 × 5 × 59, multiplying the primes 3 × 3 × 5 × 59.
How is 2655 represented in binary and hexadecimal?
2655 converts to 101001011111 in binary and A5F in hexadecimal, which are helpful for computer science applications.
Is 2655 a perfect square, cube, or triangular number?
2655 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2655?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.