473
473 is a odd composite number that follows 472 and precedes 474. It is composed of 4 distinct factors: 1, 11, 43, 473. Its prime factorization can be written as 11 × 43. 473 is classified as a deficient number based on the sum of its proper divisors. In computer science, 473 is represented as 111011001 in binary and 1D9 in hexadecimal. Historically, it is written as CDLXXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 43) reveals 2 prime building blocks.
Divisible by 2
473 ends in 3, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
473 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 14 is not a multiple of 9.
Divisible by 10
473 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 473 within several notable number theory sequences:
Timeline
Deep dive
How 473 breaks down
473 carries 4 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 55, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111011001 supports bitwise reasoning, hexadecimal 1D9 aligns with computing notation, and the Roman numeral CDLXXIII keeps the encyclopedic tradition alive. These attributes make 473 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 473 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (468–478) to tune search ranges, and educators feature 473 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 473 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 473
Is 473 a prime number?
473 is composite with 4 total factors and the prime factorization 11 × 43.
What is the prime factorization of 473?
It breaks down as 11 × 43, multiplying the primes 11 × 43.
How is 473 represented in binary and hexadecimal?
473 converts to 111011001 in binary and 1D9 in hexadecimal, which are helpful for computer science applications.
Is 473 a perfect square, cube, or triangular number?
473 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 473?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.