477
477 is a odd composite number that follows 476 and precedes 478. It is composed of 6 distinct factors: 1, 3, 9, 53, 159, 477. Its prime factorization can be written as 3^2 × 53. 477 is classified as a deficient number based on the sum of its proper divisors. In computer science, 477 is represented as 111011101 in binary and 1DD in hexadecimal. Historically, it is written as CDLXXVII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 53) reveals 3 prime building blocks.
Divisible by 2
477 ends in 7, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 77 are not divisible by 4.
Divisible by 5
477 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 18 is a multiple of 9.
Divisible by 10
477 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 477 within several notable number theory sequences:
Timeline
Deep dive
How 477 breaks down
477 carries 6 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 225, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111011101 supports bitwise reasoning, hexadecimal 1DD aligns with computing notation, and the Roman numeral CDLXXVII keeps the encyclopedic tradition alive. These attributes make 477 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 477 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (472–482) to tune search ranges, and educators feature 477 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 477 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 477
Is 477 a prime number?
477 is composite with 6 total factors and the prime factorization 3^2 × 53.
What is the prime factorization of 477?
It breaks down as 3^2 × 53, multiplying the primes 3 × 3 × 53.
How is 477 represented in binary and hexadecimal?
477 converts to 111011101 in binary and 1DD in hexadecimal, which are helpful for computer science applications.
Is 477 a perfect square, cube, or triangular number?
477 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 477?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.