2731
2731 is a odd prime number that follows 2730 and precedes 2732. As a prime number, 2731 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2731. 2731 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2731 is represented as 101010101011 in binary and AAB in hexadecimal. Historically, it is written as MMDCCXXXI in Roman numerals.
Factor Analysis
2 FactorsProperties
2731 is prime, so its only factors are 1 and 2731.
Divisible by 2
2731 ends in 1, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 31 are not divisible by 4.
Divisible by 5
2731 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 13 is not a multiple of 9.
Divisible by 10
2731 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 2731 within several notable number theory sequences:
Timeline
Deep dive
How 2731 breaks down
2731 carries 2 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010101011 supports bitwise reasoning, hexadecimal AAB aligns with computing notation, and the Roman numeral MMDCCXXXI keeps the encyclopedic tradition alive. These attributes make 2731 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2731 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2726–2736) to tune search ranges, and educators feature 2731 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 2731 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 2731
Is 2731 a prime number?
2731 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2731?
2731 is already prime, so the factorization is simply 2731.
How is 2731 represented in binary and hexadecimal?
2731 converts to 101010101011 in binary and AAB in hexadecimal, which are helpful for computer science applications.
Is 2731 a perfect square, cube, or triangular number?
2731 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2731?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.