4009
4009 is a odd composite number that follows 4008 and precedes 4010. It is composed of 4 distinct factors: 1, 19, 211, 4009. Its prime factorization can be written as 19 × 211. 4009 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4009 is represented as 111110101001 in binary and FA9 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (19 × 211) reveals 2 prime building blocks.
Divisible by 2
4009 ends in 9, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 09 are not divisible by 4.
Divisible by 5
4009 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 13 is not a multiple of 9.
Divisible by 10
4009 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 4009 within several notable number theory sequences:
Timeline
Deep dive
How 4009 breaks down
4009 carries 4 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 231, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111110101001 supports bitwise reasoning, hexadecimal FA9 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4009 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4009 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4004–4014) to tune search ranges, and educators feature 4009 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 4009 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 4009
Is 4009 a prime number?
4009 is composite with 4 total factors and the prime factorization 19 × 211.
What is the prime factorization of 4009?
It breaks down as 19 × 211, multiplying the primes 19 × 211.
How is 4009 represented in binary and hexadecimal?
4009 converts to 111110101001 in binary and FA9 in hexadecimal, which are helpful for computer science applications.
Is 4009 a perfect square, cube, or triangular number?
4009 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4009?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.