2648
2648 is a even composite number that follows 2647 and precedes 2649. It is composed of 8 distinct factors: 1, 2, 4, 8, 331, 662, 1324, 2648. Its prime factorization can be written as 2^3 × 331. 2648 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2648 is represented as 101001011000 in binary and A58 in hexadecimal. Historically, it is written as MMDCXLVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 331) reveals 4 prime building blocks.
Divisible by 2
2648 ends in 8, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
2648 does not end in 0 or 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
2648 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Deficient classification and digit analytics place 2648 within several notable number theory sequences:
Timeline
Deep dive
How 2648 breaks down
2648 carries 8 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 2332, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001011000 supports bitwise reasoning, hexadecimal A58 aligns with computing notation, and the Roman numeral MMDCXLVIII keeps the encyclopedic tradition alive. These attributes make 2648 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2648 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2643–2653) to tune search ranges, and educators feature 2648 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 2648 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 2648
Is 2648 a prime number?
2648 is composite with 8 total factors and the prime factorization 2^3 × 331.
What is the prime factorization of 2648?
It breaks down as 2^3 × 331, multiplying the primes 2 × 2 × 2 × 331.
How is 2648 represented in binary and hexadecimal?
2648 converts to 101001011000 in binary and A58 in hexadecimal, which are helpful for computer science applications.
Is 2648 a perfect square, cube, or triangular number?
2648 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2648?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.