476
476 is a even composite number that follows 475 and precedes 477. It is composed of 12 distinct factors: 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476. Its prime factorization can be written as 2^2 × 7 × 17. 476 is classified as a abundant number based on the sum of its proper divisors. In computer science, 476 is represented as 111011100 in binary and 1DC in hexadecimal. Historically, it is written as CDLXXVI in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 7 × 17) reveals 4 prime building blocks.
Divisible by 2
476 ends in 6, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 76 form a multiple of 4.
Divisible by 5
476 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 17 is not a multiple of 9.
Divisible by 10
476 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 476 within several notable number theory sequences:
Timeline
Deep dive
How 476 breaks down
476 carries 12 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 532, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111011100 supports bitwise reasoning, hexadecimal 1DC aligns with computing notation, and the Roman numeral CDLXXVI keeps the encyclopedic tradition alive. These attributes make 476 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 476 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (471–481) to tune search ranges, and educators feature 476 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, Abundant numbers) help historians, numerologists, and trivia writers tie 476 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 476
Is 476 a prime number?
476 is composite with 12 total factors and the prime factorization 2^2 × 7 × 17.
What is the prime factorization of 476?
It breaks down as 2^2 × 7 × 17, multiplying the primes 2 × 2 × 7 × 17.
How is 476 represented in binary and hexadecimal?
476 converts to 111011100 in binary and 1DC in hexadecimal, which are helpful for computer science applications.
Is 476 a perfect square, cube, or triangular number?
476 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 476?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.