6165
6165 is a odd composite number that follows 6164 and precedes 6166. It is composed of 12 distinct factors: 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165. Its prime factorization can be written as 3^2 × 5 × 137. 6165 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6165 is represented as 1100000010101 in binary and 1815 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (3^2 × 5 × 137) reveals 4 prime building blocks.
Divisible by 2
6165 ends in 5, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 65 are not divisible by 4.
Divisible by 5
6165 ends in 5, so it is divisible by 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
6165 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 6165 within several notable number theory sequences:
Timeline
Deep dive
How 6165 breaks down
6165 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 4599, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100000010101 supports bitwise reasoning, hexadecimal 1815 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6165 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6165 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6160–6170) to tune search ranges, and educators feature 6165 in worksheets about factor trees. Its binary footprint of length 13 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 6165 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 6165
Is 6165 a prime number?
6165 is composite with 12 total factors and the prime factorization 3^2 × 5 × 137.
What is the prime factorization of 6165?
It breaks down as 3^2 × 5 × 137, multiplying the primes 3 × 3 × 5 × 137.
How is 6165 represented in binary and hexadecimal?
6165 converts to 1100000010101 in binary and 1815 in hexadecimal, which are helpful for computer science applications.
Is 6165 a perfect square, cube, or triangular number?
6165 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6165?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.