2643
2643 is a odd composite number that follows 2642 and precedes 2644. It is composed of 4 distinct factors: 1, 3, 881, 2643. Its prime factorization can be written as 3 × 881. 2643 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2643 is represented as 101001010011 in binary and A53 in hexadecimal. Historically, it is written as MMDCXLIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 881) reveals 2 prime building blocks.
Divisible by 2
2643 ends in 3, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 43 are not divisible by 4.
Divisible by 5
2643 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 15 is not a multiple of 9.
Divisible by 10
2643 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 2643 within several notable number theory sequences:
Timeline
Deep dive
How 2643 breaks down
2643 carries 4 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 885, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001010011 supports bitwise reasoning, hexadecimal A53 aligns with computing notation, and the Roman numeral MMDCXLIII keeps the encyclopedic tradition alive. These attributes make 2643 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2643 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2638–2648) to tune search ranges, and educators feature 2643 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 2643 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 2643
Is 2643 a prime number?
2643 is composite with 4 total factors and the prime factorization 3 × 881.
What is the prime factorization of 2643?
It breaks down as 3 × 881, multiplying the primes 3 × 881.
How is 2643 represented in binary and hexadecimal?
2643 converts to 101001010011 in binary and A53 in hexadecimal, which are helpful for computer science applications.
Is 2643 a perfect square, cube, or triangular number?
2643 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2643?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.