447
447 is a odd composite number that follows 446 and precedes 448. It is composed of 4 distinct factors: 1, 3, 149, 447. Its prime factorization can be written as 3 × 149. 447 is classified as a deficient number based on the sum of its proper divisors. In computer science, 447 is represented as 110111111 in binary and 1BF in hexadecimal. Historically, it is written as CDXLVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 149) reveals 2 prime building blocks.
Divisible by 2
447 ends in 7, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 47 are not divisible by 4.
Divisible by 5
447 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 15 is not a multiple of 9.
Divisible by 10
447 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 447 within several notable number theory sequences:
Timeline
Deep dive
How 447 breaks down
447 carries 4 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 153, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110111111 supports bitwise reasoning, hexadecimal 1BF aligns with computing notation, and the Roman numeral CDXLVII keeps the encyclopedic tradition alive. These attributes make 447 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 447 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (442–452) to tune search ranges, and educators feature 447 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 447 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 447
Is 447 a prime number?
447 is composite with 4 total factors and the prime factorization 3 × 149.
What is the prime factorization of 447?
It breaks down as 3 × 149, multiplying the primes 3 × 149.
How is 447 represented in binary and hexadecimal?
447 converts to 110111111 in binary and 1BF in hexadecimal, which are helpful for computer science applications.
Is 447 a perfect square, cube, or triangular number?
447 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 447?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.