2943
2943 is a odd composite number that follows 2942 and precedes 2944. It is composed of 8 distinct factors: 1, 3, 9, 27, 109, 327, 981, 2943. Its prime factorization can be written as 3^3 × 109. 2943 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2943 is represented as 101101111111 in binary and B7F in hexadecimal. Historically, it is written as MMCMXLIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3^3 × 109) reveals 4 prime building blocks.
Divisible by 2
2943 ends in 3, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 43 are not divisible by 4.
Divisible by 5
2943 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 18 is a multiple of 9.
Divisible by 10
2943 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 2943 within several notable number theory sequences:
Timeline
Deep dive
How 2943 breaks down
2943 carries 8 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 1457, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101101111111 supports bitwise reasoning, hexadecimal B7F aligns with computing notation, and the Roman numeral MMCMXLIII keeps the encyclopedic tradition alive. These attributes make 2943 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2943 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2938–2948) to tune search ranges, and educators feature 2943 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 2943 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 2943
Is 2943 a prime number?
2943 is composite with 8 total factors and the prime factorization 3^3 × 109.
What is the prime factorization of 2943?
It breaks down as 3^3 × 109, multiplying the primes 3 × 3 × 3 × 109.
How is 2943 represented in binary and hexadecimal?
2943 converts to 101101111111 in binary and B7F in hexadecimal, which are helpful for computer science applications.
Is 2943 a perfect square, cube, or triangular number?
2943 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2943?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.