3471
3471 is a odd composite number that follows 3470 and precedes 3472. It is composed of 8 distinct factors: 1, 3, 13, 39, 89, 267, 1157, 3471. Its prime factorization can be written as 3 × 13 × 89. 3471 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3471 is represented as 110110001111 in binary and D8F in hexadecimal. Historically, it is written as MMMCDLXXI in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 13 × 89) reveals 3 prime building blocks.
Divisible by 2
3471 ends in 1, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 71 are not divisible by 4.
Divisible by 5
3471 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 15 is not a multiple of 9.
Divisible by 10
3471 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 3471 within several notable number theory sequences:
Timeline
Deep dive
How 3471 breaks down
3471 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 1569, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110001111 supports bitwise reasoning, hexadecimal D8F aligns with computing notation, and the Roman numeral MMMCDLXXI keeps the encyclopedic tradition alive. These attributes make 3471 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3471 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3466–3476) to tune search ranges, and educators feature 3471 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 3471 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 3471
Is 3471 a prime number?
3471 is composite with 8 total factors and the prime factorization 3 × 13 × 89.
What is the prime factorization of 3471?
It breaks down as 3 × 13 × 89, multiplying the primes 3 × 13 × 89.
How is 3471 represented in binary and hexadecimal?
3471 converts to 110110001111 in binary and D8F in hexadecimal, which are helpful for computer science applications.
Is 3471 a perfect square, cube, or triangular number?
3471 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3471?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.