3487
3487 is a odd composite number that follows 3486 and precedes 3488. It is composed of 4 distinct factors: 1, 11, 317, 3487. Its prime factorization can be written as 11 × 317. 3487 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3487 is represented as 110110011111 in binary and D9F in hexadecimal. Historically, it is written as MMMCDLXXXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 317) reveals 2 prime building blocks.
Divisible by 2
3487 ends in 7, so it is odd.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
3487 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 22 is not a multiple of 9.
Divisible by 10
3487 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 3487 within several notable number theory sequences:
Timeline
Deep dive
How 3487 breaks down
3487 carries 4 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 329, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110011111 supports bitwise reasoning, hexadecimal D9F aligns with computing notation, and the Roman numeral MMMCDLXXXVII keeps the encyclopedic tradition alive. These attributes make 3487 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3487 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3482–3492) to tune search ranges, and educators feature 3487 in worksheets about factor trees. Its binary footprint of length 12 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 3487 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 3487
Is 3487 a prime number?
3487 is composite with 4 total factors and the prime factorization 11 × 317.
What is the prime factorization of 3487?
It breaks down as 11 × 317, multiplying the primes 11 × 317.
How is 3487 represented in binary and hexadecimal?
3487 converts to 110110011111 in binary and D9F in hexadecimal, which are helpful for computer science applications.
Is 3487 a perfect square, cube, or triangular number?
3487 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3487?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.