487
487 is a odd prime number that follows 486 and precedes 488. As a prime number, 487 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 487. 487 is classified as a deficient number based on the sum of its proper divisors. In computer science, 487 is represented as 111100111 in binary and 1E7 in hexadecimal. Historically, it is written as CDLXXXVII in Roman numerals.
Factor Analysis
2 FactorsProperties
487 is prime, so its only factors are 1 and 487.
Divisible by 2
487 ends in 7, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
487 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 19 is not a multiple of 9.
Divisible by 10
487 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 487 within several notable number theory sequences:
Timeline
Deep dive
How 487 breaks down
487 carries 2 distinct factors and a digit signature of 19 (1 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 111100111 supports bitwise reasoning, hexadecimal 1E7 aligns with computing notation, and the Roman numeral CDLXXXVII keeps the encyclopedic tradition alive. These attributes make 487 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 487 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (482–492) to tune search ranges, and educators feature 487 in worksheets about prime identification. Its binary footprint of length 9 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 487 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 487
Is 487 a prime number?
487 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 487?
487 is already prime, so the factorization is simply 487.
How is 487 represented in binary and hexadecimal?
487 converts to 111100111 in binary and 1E7 in hexadecimal, which are helpful for computer science applications.
Is 487 a perfect square, cube, or triangular number?
487 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 487?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.