2831
2831 is a odd composite number that follows 2830 and precedes 2832. It is composed of 4 distinct factors: 1, 19, 149, 2831. Its prime factorization can be written as 19 × 149. 2831 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2831 is represented as 101100001111 in binary and B0F in hexadecimal. Historically, it is written as MMDCCCXXXI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (19 × 149) reveals 2 prime building blocks.
Divisible by 2
2831 ends in 1, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 31 are not divisible by 4.
Divisible by 5
2831 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 14 is not a multiple of 9.
Divisible by 10
2831 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 2831 within several notable number theory sequences:
Timeline
Deep dive
How 2831 breaks down
2831 carries 4 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 169, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101100001111 supports bitwise reasoning, hexadecimal B0F aligns with computing notation, and the Roman numeral MMDCCCXXXI keeps the encyclopedic tradition alive. These attributes make 2831 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2831 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2826–2836) to tune search ranges, and educators feature 2831 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 2831 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 2831
Is 2831 a prime number?
2831 is composite with 4 total factors and the prime factorization 19 × 149.
What is the prime factorization of 2831?
It breaks down as 19 × 149, multiplying the primes 19 × 149.
How is 2831 represented in binary and hexadecimal?
2831 converts to 101100001111 in binary and B0F in hexadecimal, which are helpful for computer science applications.
Is 2831 a perfect square, cube, or triangular number?
2831 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2831?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.