591
591 is a odd composite number that follows 590 and precedes 592. It is composed of 4 distinct factors: 1, 3, 197, 591. Its prime factorization can be written as 3 × 197. 591 is classified as a deficient number based on the sum of its proper divisors. In computer science, 591 is represented as 1001001111 in binary and 24F in hexadecimal. Historically, it is written as DXCI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 197) reveals 2 prime building blocks.
Divisible by 2
591 ends in 1, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 91 are not divisible by 4.
Divisible by 5
591 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 15 is not a multiple of 9.
Divisible by 10
591 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 591 within several notable number theory sequences:
Timeline
Deep dive
How 591 breaks down
591 carries 4 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 201, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001001111 supports bitwise reasoning, hexadecimal 24F aligns with computing notation, and the Roman numeral DXCI keeps the encyclopedic tradition alive. These attributes make 591 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 591 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (586–596) to tune search ranges, and educators feature 591 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 591 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 591
Is 591 a prime number?
591 is composite with 4 total factors and the prime factorization 3 × 197.
What is the prime factorization of 591?
It breaks down as 3 × 197, multiplying the primes 3 × 197.
How is 591 represented in binary and hexadecimal?
591 converts to 1001001111 in binary and 24F in hexadecimal, which are helpful for computer science applications.
Is 591 a perfect square, cube, or triangular number?
591 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 591?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.