838
838 is a even composite number that follows 837 and precedes 839. It is composed of 4 distinct factors: 1, 2, 419, 838. Its prime factorization can be written as 2 × 419. 838 is classified as a deficient number based on the sum of its proper divisors. In computer science, 838 is represented as 1101000110 in binary and 346 in hexadecimal. Historically, it is written as DCCCXXXVIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 419) reveals 2 prime building blocks.
Divisible by 2
838 ends in 8, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 38 are not divisible by 4.
Divisible by 5
838 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 19 is not a multiple of 9.
Divisible by 10
838 does not end in 0.
Divisible by 11
The alternating digit sum 13 is not a multiple of 11.
Deficient classification and digit analytics place 838 within several notable number theory sequences:
Timeline
Deep dive
How 838 breaks down
838 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 422, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101000110 supports bitwise reasoning, hexadecimal 346 aligns with computing notation, and the Roman numeral DCCCXXXVIII keeps the encyclopedic tradition alive. These attributes make 838 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 838 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (833–843) to tune search ranges, and educators feature 838 in worksheets about factor trees. Its binary footprint of length 10 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 838 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 838
Is 838 a prime number?
838 is composite with 4 total factors and the prime factorization 2 × 419.
What is the prime factorization of 838?
It breaks down as 2 × 419, multiplying the primes 2 × 419.
How is 838 represented in binary and hexadecimal?
838 converts to 1101000110 in binary and 346 in hexadecimal, which are helpful for computer science applications.
Is 838 a perfect square, cube, or triangular number?
838 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 838?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.