4165
4165 is a odd composite number that follows 4164 and precedes 4166. It is composed of 12 distinct factors: 1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165. Its prime factorization can be written as 5 × 7^2 × 17. 4165 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4165 is represented as 1000001000101 in binary and 1045 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (5 × 7^2 × 17) reveals 4 prime building blocks.
Divisible by 2
4165 ends in 5, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 65 are not divisible by 4.
Divisible by 5
4165 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 16 is not a multiple of 9.
Divisible by 10
4165 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 4165 within several notable number theory sequences:
Timeline
Deep dive
How 4165 breaks down
4165 carries 12 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1991, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000001000101 supports bitwise reasoning, hexadecimal 1045 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4165 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4165 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4160–4170) to tune search ranges, and educators feature 4165 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 4165 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 4165
Is 4165 a prime number?
4165 is composite with 12 total factors and the prime factorization 5 × 7^2 × 17.
What is the prime factorization of 4165?
It breaks down as 5 × 7^2 × 17, multiplying the primes 5 × 7 × 7 × 17.
How is 4165 represented in binary and hexadecimal?
4165 converts to 1000001000101 in binary and 1045 in hexadecimal, which are helpful for computer science applications.
Is 4165 a perfect square, cube, or triangular number?
4165 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4165?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.