471
471 is a odd composite number that follows 470 and precedes 472. It is composed of 4 distinct factors: 1, 3, 157, 471. Its prime factorization can be written as 3 × 157. 471 is classified as a deficient number based on the sum of its proper divisors. In computer science, 471 is represented as 111010111 in binary and 1D7 in hexadecimal. Historically, it is written as CDLXXI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 157) reveals 2 prime building blocks.
Divisible by 2
471 ends in 1, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 71 are not divisible by 4.
Divisible by 5
471 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 12 is not a multiple of 9.
Divisible by 10
471 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 471 within several notable number theory sequences:
Timeline
Deep dive
How 471 breaks down
471 carries 4 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 161, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010111 supports bitwise reasoning, hexadecimal 1D7 aligns with computing notation, and the Roman numeral CDLXXI keeps the encyclopedic tradition alive. These attributes make 471 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 471 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (466–476) to tune search ranges, and educators feature 471 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 471 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 471
Is 471 a prime number?
471 is composite with 4 total factors and the prime factorization 3 × 157.
What is the prime factorization of 471?
It breaks down as 3 × 157, multiplying the primes 3 × 157.
How is 471 represented in binary and hexadecimal?
471 converts to 111010111 in binary and 1D7 in hexadecimal, which are helpful for computer science applications.
Is 471 a perfect square, cube, or triangular number?
471 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 471?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.