5005
5005 is a odd composite number that follows 5004 and precedes 5006. It is composed of 16 distinct factors: 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005. Its prime factorization can be written as 5 × 7 × 11 × 13. 5005 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5005 is represented as 1001110001101 in binary and 138D in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (5 × 7 × 11 × 13) reveals 4 prime building blocks.
Divisible by 2
5005 ends in 5, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 05 are not divisible by 4.
Divisible by 5
5005 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 10 is not a multiple of 9.
Divisible by 10
5005 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 5005 within several notable number theory sequences:
Timeline
Deep dive
How 5005 breaks down
5005 carries 16 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 3059, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001110001101 supports bitwise reasoning, hexadecimal 138D aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5005 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5005 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5000–5010) to tune search ranges, and educators feature 5005 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 5005 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 5005
Is 5005 a prime number?
5005 is composite with 16 total factors and the prime factorization 5 × 7 × 11 × 13.
What is the prime factorization of 5005?
It breaks down as 5 × 7 × 11 × 13, multiplying the primes 5 × 7 × 11 × 13.
How is 5005 represented in binary and hexadecimal?
5005 converts to 1001110001101 in binary and 138D in hexadecimal, which are helpful for computer science applications.
Is 5005 a perfect square, cube, or triangular number?
5005 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5005?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.