529
529 is a odd composite number that follows 528 and precedes 530. It is composed of 3 distinct factors: 1, 23, 529. Its prime factorization can be written as 23^2. 529 is classified as a deficient number based on the sum of its proper divisors. In computer science, 529 is represented as 1000010001 in binary and 211 in hexadecimal. Historically, it is written as DXXIX in Roman numerals. It also belongs to the perfect square sequence.
Factor Analysis
3 FactorsProperties
The prime factorization (23^2) reveals 2 prime building blocks.
Divisible by 2
529 ends in 9, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 29 are not divisible by 4.
Divisible by 5
529 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 16 is not a multiple of 9.
Divisible by 10
529 does not end in 0.
Divisible by 11
The alternating digit sum 12 is not a multiple of 11.
Deficient classification and digit analytics place 529 within several notable number theory sequences:
Timeline
Deep dive
How 529 breaks down
529 carries 3 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 24, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000010001 supports bitwise reasoning, hexadecimal 211 aligns with computing notation, and the Roman numeral DXXIX keeps the encyclopedic tradition alive. These attributes make 529 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 529 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (524–534) to tune search ranges, and educators feature 529 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, Perfect squares) help historians, numerologists, and trivia writers tie 529 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 529
Is 529 a prime number?
529 is composite with 3 total factors and the prime factorization 23^2.
What is the prime factorization of 529?
It breaks down as 23^2, multiplying the primes 23 × 23.
How is 529 represented in binary and hexadecimal?
529 converts to 1000010001 in binary and 211 in hexadecimal, which are helpful for computer science applications.
Is 529 a perfect square, cube, or triangular number?
529 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 529?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.