2531
2531 is a odd prime number that follows 2530 and precedes 2532. As a prime number, 2531 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2531. 2531 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2531 is represented as 100111100011 in binary and 9E3 in hexadecimal. Historically, it is written as MMDXXXI in Roman numerals.
Factor Analysis
2 FactorsProperties
2531 is prime, so its only factors are 1 and 2531.
Divisible by 2
2531 ends in 1, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 31 are not divisible by 4.
Divisible by 5
2531 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 11 is not a multiple of 9.
Divisible by 10
2531 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 2531 within several notable number theory sequences:
Timeline
Deep dive
How 2531 breaks down
2531 carries 2 distinct factors and a digit signature of 11 (2 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 100111100011 supports bitwise reasoning, hexadecimal 9E3 aligns with computing notation, and the Roman numeral MMDXXXI keeps the encyclopedic tradition alive. These attributes make 2531 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2531 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2526–2536) to tune search ranges, and educators feature 2531 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 2531 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 2531
Is 2531 a prime number?
2531 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2531?
2531 is already prime, so the factorization is simply 2531.
How is 2531 represented in binary and hexadecimal?
2531 converts to 100111100011 in binary and 9E3 in hexadecimal, which are helpful for computer science applications.
Is 2531 a perfect square, cube, or triangular number?
2531 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2531?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.