2840
2840 is a even composite number that follows 2839 and precedes 2841. It is composed of 16 distinct factors: 1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420, 2840. Its prime factorization can be written as 2^3 × 5 × 71. 2840 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2840 is represented as 101100011000 in binary and B18 in hexadecimal. Historically, it is written as MMDCCCXL in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 5 × 71) reveals 5 prime building blocks.
Divisible by 2
2840 ends in 0, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
2840 ends in 0, 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 14 is not a multiple of 9.
Divisible by 10
2840 ends in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Abundant classification and digit analytics place 2840 within several notable number theory sequences:
Timeline
Deep dive
How 2840 breaks down
2840 carries 16 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 3640, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101100011000 supports bitwise reasoning, hexadecimal B18 aligns with computing notation, and the Roman numeral MMDCCCXL keeps the encyclopedic tradition alive. These attributes make 2840 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2840 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2835–2845) to tune search ranges, and educators feature 2840 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, Abundant numbers) help historians, numerologists, and trivia writers tie 2840 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 2840
Is 2840 a prime number?
2840 is composite with 16 total factors and the prime factorization 2^3 × 5 × 71.
What is the prime factorization of 2840?
It breaks down as 2^3 × 5 × 71, multiplying the primes 2 × 2 × 2 × 5 × 71.
How is 2840 represented in binary and hexadecimal?
2840 converts to 101100011000 in binary and B18 in hexadecimal, which are helpful for computer science applications.
Is 2840 a perfect square, cube, or triangular number?
2840 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2840?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.