3438
3438 is a even composite number that follows 3437 and precedes 3439. It is composed of 12 distinct factors: 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438. Its prime factorization can be written as 2 × 3^2 × 191. 3438 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3438 is represented as 110101101110 in binary and D6E in hexadecimal. Historically, it is written as MMMCDXXXVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 3^2 × 191) reveals 4 prime building blocks.
Divisible by 2
3438 ends in 8, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 38 are not divisible by 4.
Divisible by 5
3438 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 18 is a multiple of 9.
Divisible by 10
3438 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Abundant classification and digit analytics place 3438 within several notable number theory sequences:
Timeline
Deep dive
How 3438 breaks down
3438 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 4050, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101101110 supports bitwise reasoning, hexadecimal D6E aligns with computing notation, and the Roman numeral MMMCDXXXVIII keeps the encyclopedic tradition alive. These attributes make 3438 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3438 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3433–3443) to tune search ranges, and educators feature 3438 in worksheets about factor trees. Its binary footprint of length 12 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 3438 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 3438
Is 3438 a prime number?
3438 is composite with 12 total factors and the prime factorization 2 × 3^2 × 191.
What is the prime factorization of 3438?
It breaks down as 2 × 3^2 × 191, multiplying the primes 2 × 3 × 3 × 191.
How is 3438 represented in binary and hexadecimal?
3438 converts to 110101101110 in binary and D6E in hexadecimal, which are helpful for computer science applications.
Is 3438 a perfect square, cube, or triangular number?
3438 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3438?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.