531
531 is a odd composite number that follows 530 and precedes 532. It is composed of 6 distinct factors: 1, 3, 9, 59, 177, 531. Its prime factorization can be written as 3^2 × 59. 531 is classified as a deficient number based on the sum of its proper divisors. In computer science, 531 is represented as 1000010011 in binary and 213 in hexadecimal. Historically, it is written as DXXXI in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 59) reveals 3 prime building blocks.
Divisible by 2
531 ends in 1, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 31 are not divisible by 4.
Divisible by 5
531 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 9 is a multiple of 9.
Divisible by 10
531 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 531 within several notable number theory sequences:
Timeline
Deep dive
How 531 breaks down
531 carries 6 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 249, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000010011 supports bitwise reasoning, hexadecimal 213 aligns with computing notation, and the Roman numeral DXXXI keeps the encyclopedic tradition alive. These attributes make 531 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 531 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (526–536) to tune search ranges, and educators feature 531 in worksheets about factor trees. Its binary footprint of length 10 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 531 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 531
Is 531 a prime number?
531 is composite with 6 total factors and the prime factorization 3^2 × 59.
What is the prime factorization of 531?
It breaks down as 3^2 × 59, multiplying the primes 3 × 3 × 59.
How is 531 represented in binary and hexadecimal?
531 converts to 1000010011 in binary and 213 in hexadecimal, which are helpful for computer science applications.
Is 531 a perfect square, cube, or triangular number?
531 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 531?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.