5565
5565 is a odd composite number that follows 5564 and precedes 5566. It is composed of 16 distinct factors: 1, 3, 5, 7, 15, 21, 35, 53, 105, 159, 265, 371, 795, 1113, 1855, 5565. Its prime factorization can be written as 3 × 5 × 7 × 53. 5565 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5565 is represented as 1010110111101 in binary and 15BD in hexadecimal. It also belongs to the triangular number sequence.
Factor Analysis
16 FactorsProperties
The prime factorization (3 × 5 × 7 × 53) reveals 4 prime building blocks.
Divisible by 2
5565 ends in 5, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 65 are not divisible by 4.
Divisible by 5
5565 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 21 is not a multiple of 9.
Divisible by 10
5565 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 5565 within several notable number theory sequences:
Timeline
Deep dive
How 5565 breaks down
5565 carries 16 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 4803, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010110111101 supports bitwise reasoning, hexadecimal 15BD aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5565 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5565 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5560–5570) to tune search ranges, and educators feature 5565 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, Triangular numbers) help historians, numerologists, and trivia writers tie 5565 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 5565
Is 5565 a prime number?
5565 is composite with 16 total factors and the prime factorization 3 × 5 × 7 × 53.
What is the prime factorization of 5565?
It breaks down as 3 × 5 × 7 × 53, multiplying the primes 3 × 5 × 7 × 53.
How is 5565 represented in binary and hexadecimal?
5565 converts to 1010110111101 in binary and 15BD in hexadecimal, which are helpful for computer science applications.
Is 5565 a perfect square, cube, or triangular number?
5565 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 5565?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.