478
478 is a even composite number that follows 477 and precedes 479. It is composed of 4 distinct factors: 1, 2, 239, 478. Its prime factorization can be written as 2 × 239. 478 is classified as a deficient number based on the sum of its proper divisors. In computer science, 478 is represented as 111011110 in binary and 1DE in hexadecimal. Historically, it is written as CDLXXVIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 239) reveals 2 prime building blocks.
Divisible by 2
478 ends in 8, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 78 are not divisible by 4.
Divisible by 5
478 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 19 is not a multiple of 9.
Divisible by 10
478 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 478 within several notable number theory sequences:
Timeline
Deep dive
How 478 breaks down
478 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 242, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111011110 supports bitwise reasoning, hexadecimal 1DE aligns with computing notation, and the Roman numeral CDLXXVIII keeps the encyclopedic tradition alive. These attributes make 478 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 478 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (473–483) to tune search ranges, and educators feature 478 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 478 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 478
Is 478 a prime number?
478 is composite with 4 total factors and the prime factorization 2 × 239.
What is the prime factorization of 478?
It breaks down as 2 × 239, multiplying the primes 2 × 239.
How is 478 represented in binary and hexadecimal?
478 converts to 111011110 in binary and 1DE in hexadecimal, which are helpful for computer science applications.
Is 478 a perfect square, cube, or triangular number?
478 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 478?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.