2665
2665 is a odd composite number that follows 2664 and precedes 2666. It is composed of 8 distinct factors: 1, 5, 13, 41, 65, 205, 533, 2665. Its prime factorization can be written as 5 × 13 × 41. 2665 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2665 is represented as 101001101001 in binary and A69 in hexadecimal. Historically, it is written as MMDCLXV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (5 × 13 × 41) reveals 3 prime building blocks.
Divisible by 2
2665 ends in 5, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 65 are not divisible by 4.
Divisible by 5
2665 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 19 is not a multiple of 9.
Divisible by 10
2665 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 2665 within several notable number theory sequences:
Timeline
Deep dive
How 2665 breaks down
2665 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 863, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001101001 supports bitwise reasoning, hexadecimal A69 aligns with computing notation, and the Roman numeral MMDCLXV keeps the encyclopedic tradition alive. These attributes make 2665 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2665 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2660–2670) to tune search ranges, and educators feature 2665 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 2665 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 2665
Is 2665 a prime number?
2665 is composite with 8 total factors and the prime factorization 5 × 13 × 41.
What is the prime factorization of 2665?
It breaks down as 5 × 13 × 41, multiplying the primes 5 × 13 × 41.
How is 2665 represented in binary and hexadecimal?
2665 converts to 101001101001 in binary and A69 in hexadecimal, which are helpful for computer science applications.
Is 2665 a perfect square, cube, or triangular number?
2665 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2665?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.