2649
2649 is a odd composite number that follows 2648 and precedes 2650. It is composed of 4 distinct factors: 1, 3, 883, 2649. Its prime factorization can be written as 3 × 883. 2649 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2649 is represented as 101001011001 in binary and A59 in hexadecimal. Historically, it is written as MMDCXLIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 883) reveals 2 prime building blocks.
Divisible by 2
2649 ends in 9, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
2649 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 21 is not a multiple of 9.
Divisible by 10
2649 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Deficient classification and digit analytics place 2649 within several notable number theory sequences:
Timeline
Deep dive
How 2649 breaks down
2649 carries 4 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 887, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001011001 supports bitwise reasoning, hexadecimal A59 aligns with computing notation, and the Roman numeral MMDCXLIX keeps the encyclopedic tradition alive. These attributes make 2649 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2649 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2644–2654) to tune search ranges, and educators feature 2649 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 2649 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 2649
Is 2649 a prime number?
2649 is composite with 4 total factors and the prime factorization 3 × 883.
What is the prime factorization of 2649?
It breaks down as 3 × 883, multiplying the primes 3 × 883.
How is 2649 represented in binary and hexadecimal?
2649 converts to 101001011001 in binary and A59 in hexadecimal, which are helpful for computer science applications.
Is 2649 a perfect square, cube, or triangular number?
2649 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2649?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.