446
446 is a even composite number that follows 445 and precedes 447. It is composed of 4 distinct factors: 1, 2, 223, 446. Its prime factorization can be written as 2 × 223. 446 is classified as a deficient number based on the sum of its proper divisors. In computer science, 446 is represented as 110111110 in binary and 1BE in hexadecimal. Historically, it is written as CDXLVI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 223) reveals 2 prime building blocks.
Divisible by 2
446 ends in 6, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 46 are not divisible by 4.
Divisible by 5
446 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
446 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 446 within several notable number theory sequences:
Timeline
Deep dive
How 446 breaks down
446 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 226, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110111110 supports bitwise reasoning, hexadecimal 1BE aligns with computing notation, and the Roman numeral CDXLVI keeps the encyclopedic tradition alive. These attributes make 446 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 446 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (441–451) to tune search ranges, and educators feature 446 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 446 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 446
Is 446 a prime number?
446 is composite with 4 total factors and the prime factorization 2 × 223.
What is the prime factorization of 446?
It breaks down as 2 × 223, multiplying the primes 2 × 223.
How is 446 represented in binary and hexadecimal?
446 converts to 110111110 in binary and 1BE in hexadecimal, which are helpful for computer science applications.
Is 446 a perfect square, cube, or triangular number?
446 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 446?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.