1528
1528 is a even composite number that follows 1527 and precedes 1529. It is composed of 8 distinct factors: 1, 2, 4, 8, 191, 382, 764, 1528. Its prime factorization can be written as 2^3 × 191. 1528 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1528 is represented as 10111111000 in binary and 5F8 in hexadecimal. Historically, it is written as MDXXVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 191) reveals 4 prime building blocks.
Divisible by 2
1528 ends in 8, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
1528 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
1528 does not end in 0.
Divisible by 11
The alternating digit sum -10 is not a multiple of 11.
Deficient classification and digit analytics place 1528 within several notable number theory sequences:
Timeline
Deep dive
How 1528 breaks down
1528 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1352, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10111111000 supports bitwise reasoning, hexadecimal 5F8 aligns with computing notation, and the Roman numeral MDXXVIII keeps the encyclopedic tradition alive. These attributes make 1528 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1528 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1523–1533) to tune search ranges, and educators feature 1528 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 1528 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 1528
Is 1528 a prime number?
1528 is composite with 8 total factors and the prime factorization 2^3 × 191.
What is the prime factorization of 1528?
It breaks down as 2^3 × 191, multiplying the primes 2 × 2 × 2 × 191.
How is 1528 represented in binary and hexadecimal?
1528 converts to 10111111000 in binary and 5F8 in hexadecimal, which are helpful for computer science applications.
Is 1528 a perfect square, cube, or triangular number?
1528 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1528?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.