475
475 is a odd composite number that follows 474 and precedes 476. It is composed of 6 distinct factors: 1, 5, 19, 25, 95, 475. Its prime factorization can be written as 5^2 × 19. 475 is classified as a deficient number based on the sum of its proper divisors. In computer science, 475 is represented as 111011011 in binary and 1DB in hexadecimal. Historically, it is written as CDLXXV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (5^2 × 19) reveals 3 prime building blocks.
Divisible by 2
475 ends in 5, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 75 are not divisible by 4.
Divisible by 5
475 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 16 is not a multiple of 9.
Divisible by 10
475 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 475 within several notable number theory sequences:
Timeline
Deep dive
How 475 breaks down
475 carries 6 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 145, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111011011 supports bitwise reasoning, hexadecimal 1DB aligns with computing notation, and the Roman numeral CDLXXV keeps the encyclopedic tradition alive. These attributes make 475 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 475 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (470–480) to tune search ranges, and educators feature 475 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 475 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 475
Is 475 a prime number?
475 is composite with 6 total factors and the prime factorization 5^2 × 19.
What is the prime factorization of 475?
It breaks down as 5^2 × 19, multiplying the primes 5 × 5 × 19.
How is 475 represented in binary and hexadecimal?
475 converts to 111011011 in binary and 1DB in hexadecimal, which are helpful for computer science applications.
Is 475 a perfect square, cube, or triangular number?
475 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 475?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.