336
336 is a even composite number that follows 335 and precedes 337. It is composed of 20 distinct factors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. Its prime factorization can be written as 2^4 × 3 × 7. 336 is classified as a abundant number based on the sum of its proper divisors. In computer science, 336 is represented as 101010000 in binary and 150 in hexadecimal. Historically, it is written as CCCXXXVI in Roman numerals.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 3 × 7) reveals 6 prime building blocks.
Divisible by 2
336 ends in 6, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 36 form a multiple of 4.
Divisible by 5
336 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 12 is not a multiple of 9.
Divisible by 10
336 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 336 within several notable number theory sequences:
Timeline
Deep dive
How 336 breaks down
336 carries 20 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 656, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010000 supports bitwise reasoning, hexadecimal 150 aligns with computing notation, and the Roman numeral CCCXXXVI keeps the encyclopedic tradition alive. These attributes make 336 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 336 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (331–341) to tune search ranges, and educators feature 336 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 336 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 336
Is 336 a prime number?
336 is composite with 20 total factors and the prime factorization 2^4 × 3 × 7.
What is the prime factorization of 336?
It breaks down as 2^4 × 3 × 7, multiplying the primes 2 × 2 × 2 × 2 × 3 × 7.
How is 336 represented in binary and hexadecimal?
336 converts to 101010000 in binary and 150 in hexadecimal, which are helpful for computer science applications.
Is 336 a perfect square, cube, or triangular number?
336 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 336?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.