5009
5009 is a odd prime number that follows 5008 and precedes 5010. As a prime number, 5009 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 5009. 5009 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5009 is represented as 1001110010001 in binary and 1391 in hexadecimal.
Factor Analysis
2 FactorsProperties
5009 is prime, so its only factors are 1 and 5009.
Divisible by 2
5009 ends in 9, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 09 are not divisible by 4.
Divisible by 5
5009 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 14 is not a multiple of 9.
Divisible by 10
5009 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 5009 within several notable number theory sequences:
Timeline
Deep dive
How 5009 breaks down
5009 carries 2 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001110010001 supports bitwise reasoning, hexadecimal 1391 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5009 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5009 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5004–5014) to tune search ranges, and educators feature 5009 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 5009 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 5009
Is 5009 a prime number?
5009 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 5009?
5009 is already prime, so the factorization is simply 5009.
How is 5009 represented in binary and hexadecimal?
5009 converts to 1001110010001 in binary and 1391 in hexadecimal, which are helpful for computer science applications.
Is 5009 a perfect square, cube, or triangular number?
5009 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5009?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.