3336
3336 is a even composite number that follows 3335 and precedes 3337. It is composed of 16 distinct factors: 1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336. Its prime factorization can be written as 2^3 × 3 × 139. 3336 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3336 is represented as 110100001000 in binary and D08 in hexadecimal. Historically, it is written as MMMCCCXXXVI in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 3 × 139) reveals 5 prime building blocks.
Divisible by 2
3336 ends in 6, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 36 form a multiple of 4.
Divisible by 5
3336 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
3336 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 3336 within several notable number theory sequences:
Timeline
Deep dive
How 3336 breaks down
3336 carries 16 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 5064, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100001000 supports bitwise reasoning, hexadecimal D08 aligns with computing notation, and the Roman numeral MMMCCCXXXVI keeps the encyclopedic tradition alive. These attributes make 3336 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3336 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3331–3341) to tune search ranges, and educators feature 3336 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 3336 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 3336
Is 3336 a prime number?
3336 is composite with 16 total factors and the prime factorization 2^3 × 3 × 139.
What is the prime factorization of 3336?
It breaks down as 2^3 × 3 × 139, multiplying the primes 2 × 2 × 2 × 3 × 139.
How is 3336 represented in binary and hexadecimal?
3336 converts to 110100001000 in binary and D08 in hexadecimal, which are helpful for computer science applications.
Is 3336 a perfect square, cube, or triangular number?
3336 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3336?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.