1487
1487 is a odd prime number that follows 1486 and precedes 1488. As a prime number, 1487 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1487. 1487 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1487 is represented as 10111001111 in binary and 5CF in hexadecimal. Historically, it is written as MCDLXXXVII in Roman numerals.
Factor Analysis
2 FactorsProperties
1487 is prime, so its only factors are 1 and 1487.
Divisible by 2
1487 ends in 7, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
1487 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 20 is not a multiple of 9.
Divisible by 10
1487 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 1487 within several notable number theory sequences:
Timeline
Deep dive
How 1487 breaks down
1487 carries 2 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10111001111 supports bitwise reasoning, hexadecimal 5CF aligns with computing notation, and the Roman numeral MCDLXXXVII keeps the encyclopedic tradition alive. These attributes make 1487 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1487 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1482–1492) to tune search ranges, and educators feature 1487 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 1487 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 1487
Is 1487 a prime number?
1487 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1487?
1487 is already prime, so the factorization is simply 1487.
How is 1487 represented in binary and hexadecimal?
1487 converts to 10111001111 in binary and 5CF in hexadecimal, which are helpful for computer science applications.
Is 1487 a perfect square, cube, or triangular number?
1487 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1487?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.