443
443 is a odd prime number that follows 442 and precedes 444. As a prime number, 443 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 443. 443 is classified as a deficient number based on the sum of its proper divisors. In computer science, 443 is represented as 110111011 in binary and 1BB in hexadecimal. Historically, it is written as CDXLIII in Roman numerals.
Factor Analysis
2 FactorsProperties
443 is prime, so its only factors are 1 and 443.
Divisible by 2
443 ends in 3, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 43 are not divisible by 4.
Divisible by 5
443 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 11 is not a multiple of 9.
Divisible by 10
443 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 443 within several notable number theory sequences:
Timeline
Deep dive
How 443 breaks down
443 carries 2 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110111011 supports bitwise reasoning, hexadecimal 1BB aligns with computing notation, and the Roman numeral CDXLIII keeps the encyclopedic tradition alive. These attributes make 443 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 443 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (438–448) to tune search ranges, and educators feature 443 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 443 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 443
Is 443 a prime number?
443 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 443?
443 is already prime, so the factorization is simply 443.
How is 443 represented in binary and hexadecimal?
443 converts to 110111011 in binary and 1BB in hexadecimal, which are helpful for computer science applications.
Is 443 a perfect square, cube, or triangular number?
443 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 443?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.