422
422 is a even composite number that follows 421 and precedes 423. It is composed of 4 distinct factors: 1, 2, 211, 422. Its prime factorization can be written as 2 × 211. 422 is classified as a deficient number based on the sum of its proper divisors. In computer science, 422 is represented as 110100110 in binary and 1A6 in hexadecimal. Historically, it is written as CDXXII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 211) reveals 2 prime building blocks.
Divisible by 2
422 ends in 2, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 22 are not divisible by 4.
Divisible by 5
422 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 8 is not a multiple of 9.
Divisible by 10
422 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 422 within several notable number theory sequences:
Timeline
Deep dive
How 422 breaks down
422 carries 4 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 214, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100110 supports bitwise reasoning, hexadecimal 1A6 aligns with computing notation, and the Roman numeral CDXXII keeps the encyclopedic tradition alive. These attributes make 422 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 422 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (417–427) to tune search ranges, and educators feature 422 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 422 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 422
Is 422 a prime number?
422 is composite with 4 total factors and the prime factorization 2 × 211.
What is the prime factorization of 422?
It breaks down as 2 × 211, multiplying the primes 2 × 211.
How is 422 represented in binary and hexadecimal?
422 converts to 110100110 in binary and 1A6 in hexadecimal, which are helpful for computer science applications.
Is 422 a perfect square, cube, or triangular number?
422 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 422?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.