1587
1587 is a odd composite number that follows 1586 and precedes 1588. It is composed of 6 distinct factors: 1, 3, 23, 69, 529, 1587. Its prime factorization can be written as 3 × 23^2. 1587 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1587 is represented as 11000110011 in binary and 633 in hexadecimal. Historically, it is written as MDLXXXVII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3 × 23^2) reveals 3 prime building blocks.
Divisible by 2
1587 ends in 7, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
1587 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 21 is not a multiple of 9.
Divisible by 10
1587 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 1587 within several notable number theory sequences:
Timeline
Deep dive
How 1587 breaks down
1587 carries 6 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 625, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11000110011 supports bitwise reasoning, hexadecimal 633 aligns with computing notation, and the Roman numeral MDLXXXVII keeps the encyclopedic tradition alive. These attributes make 1587 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1587 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1582–1592) to tune search ranges, and educators feature 1587 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 1587 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 1587
Is 1587 a prime number?
1587 is composite with 6 total factors and the prime factorization 3 × 23^2.
What is the prime factorization of 1587?
It breaks down as 3 × 23^2, multiplying the primes 3 × 23 × 23.
How is 1587 represented in binary and hexadecimal?
1587 converts to 11000110011 in binary and 633 in hexadecimal, which are helpful for computer science applications.
Is 1587 a perfect square, cube, or triangular number?
1587 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1587?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.