438
438 is a even composite number that follows 437 and precedes 439. It is composed of 8 distinct factors: 1, 2, 3, 6, 73, 146, 219, 438. Its prime factorization can be written as 2 × 3 × 73. 438 is classified as a abundant number based on the sum of its proper divisors. In computer science, 438 is represented as 110110110 in binary and 1B6 in hexadecimal. Historically, it is written as CDXXXVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 73) reveals 3 prime building blocks.
Divisible by 2
438 ends in 8, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 38 are not divisible by 4.
Divisible by 5
438 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
438 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Abundant classification and digit analytics place 438 within several notable number theory sequences:
Timeline
Deep dive
How 438 breaks down
438 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 450, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110110 supports bitwise reasoning, hexadecimal 1B6 aligns with computing notation, and the Roman numeral CDXXXVIII keeps the encyclopedic tradition alive. These attributes make 438 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 438 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (433–443) to tune search ranges, and educators feature 438 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, Abundant numbers) help historians, numerologists, and trivia writers tie 438 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 438
Is 438 a prime number?
438 is composite with 8 total factors and the prime factorization 2 × 3 × 73.
What is the prime factorization of 438?
It breaks down as 2 × 3 × 73, multiplying the primes 2 × 3 × 73.
How is 438 represented in binary and hexadecimal?
438 converts to 110110110 in binary and 1B6 in hexadecimal, which are helpful for computer science applications.
Is 438 a perfect square, cube, or triangular number?
438 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 438?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.