1529
1529 is a odd composite number that follows 1528 and precedes 1530. It is composed of 4 distinct factors: 1, 11, 139, 1529. Its prime factorization can be written as 11 × 139. 1529 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1529 is represented as 10111111001 in binary and 5F9 in hexadecimal. Historically, it is written as MDXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 139) reveals 2 prime building blocks.
Divisible by 2
1529 ends in 9, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 29 are not divisible by 4.
Divisible by 5
1529 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 17 is not a multiple of 9.
Divisible by 10
1529 does not end in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Deficient classification and digit analytics place 1529 within several notable number theory sequences:
Timeline
Deep dive
How 1529 breaks down
1529 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 151, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10111111001 supports bitwise reasoning, hexadecimal 5F9 aligns with computing notation, and the Roman numeral MDXXIX keeps the encyclopedic tradition alive. These attributes make 1529 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1529 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1524–1534) to tune search ranges, and educators feature 1529 in worksheets about factor trees. Its binary footprint of length 11 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 1529 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 1529
Is 1529 a prime number?
1529 is composite with 4 total factors and the prime factorization 11 × 139.
What is the prime factorization of 1529?
It breaks down as 11 × 139, multiplying the primes 11 × 139.
How is 1529 represented in binary and hexadecimal?
1529 converts to 10111111001 in binary and 5F9 in hexadecimal, which are helpful for computer science applications.
Is 1529 a perfect square, cube, or triangular number?
1529 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1529?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.