3367
3367 is a odd composite number that follows 3366 and precedes 3368. It is composed of 8 distinct factors: 1, 7, 13, 37, 91, 259, 481, 3367. Its prime factorization can be written as 7 × 13 × 37. 3367 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3367 is represented as 110100100111 in binary and D27 in hexadecimal. Historically, it is written as MMMCCCLXVII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (7 × 13 × 37) reveals 3 prime building blocks.
Divisible by 2
3367 ends in 7, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
3367 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
3367 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 3367 within several notable number theory sequences:
Timeline
Deep dive
How 3367 breaks down
3367 carries 8 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 889, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100100111 supports bitwise reasoning, hexadecimal D27 aligns with computing notation, and the Roman numeral MMMCCCLXVII keeps the encyclopedic tradition alive. These attributes make 3367 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3367 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3362–3372) to tune search ranges, and educators feature 3367 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, Deficient numbers) help historians, numerologists, and trivia writers tie 3367 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 3367
Is 3367 a prime number?
3367 is composite with 8 total factors and the prime factorization 7 × 13 × 37.
What is the prime factorization of 3367?
It breaks down as 7 × 13 × 37, multiplying the primes 7 × 13 × 37.
How is 3367 represented in binary and hexadecimal?
3367 converts to 110100100111 in binary and D27 in hexadecimal, which are helpful for computer science applications.
Is 3367 a perfect square, cube, or triangular number?
3367 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3367?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.