369
369 is a odd composite number that follows 368 and precedes 370. It is composed of 6 distinct factors: 1, 3, 9, 41, 123, 369. Its prime factorization can be written as 3^2 × 41. 369 is classified as a deficient number based on the sum of its proper divisors. In computer science, 369 is represented as 101110001 in binary and 171 in hexadecimal. Historically, it is written as CCCLXIX in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 41) reveals 3 prime building blocks.
Divisible by 2
369 ends in 9, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 69 are not divisible by 4.
Divisible by 5
369 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 18 is a multiple of 9.
Divisible by 10
369 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 369 within several notable number theory sequences:
Timeline
Deep dive
How 369 breaks down
369 carries 6 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 177, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101110001 supports bitwise reasoning, hexadecimal 171 aligns with computing notation, and the Roman numeral CCCLXIX keeps the encyclopedic tradition alive. These attributes make 369 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 369 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (364–374) to tune search ranges, and educators feature 369 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, Deficient numbers) help historians, numerologists, and trivia writers tie 369 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 369
Is 369 a prime number?
369 is composite with 6 total factors and the prime factorization 3^2 × 41.
What is the prime factorization of 369?
It breaks down as 3^2 × 41, multiplying the primes 3 × 3 × 41.
How is 369 represented in binary and hexadecimal?
369 converts to 101110001 in binary and 171 in hexadecimal, which are helpful for computer science applications.
Is 369 a perfect square, cube, or triangular number?
369 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 369?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.