5008
5008 is a even composite number that follows 5007 and precedes 5009. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 313, 626, 1252, 2504, 5008. Its prime factorization can be written as 2^4 × 313. 5008 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5008 is represented as 1001110010000 in binary and 1390 in hexadecimal.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 313) reveals 5 prime building blocks.
Divisible by 2
5008 ends in 8, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
5008 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
5008 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 5008 within several notable number theory sequences:
Timeline
Deep dive
How 5008 breaks down
5008 carries 10 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 4726, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001110010000 supports bitwise reasoning, hexadecimal 1390 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5008 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5008 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5003–5013) to tune search ranges, and educators feature 5008 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 5008 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 5008
Is 5008 a prime number?
5008 is composite with 10 total factors and the prime factorization 2^4 × 313.
What is the prime factorization of 5008?
It breaks down as 2^4 × 313, multiplying the primes 2 × 2 × 2 × 2 × 313.
How is 5008 represented in binary and hexadecimal?
5008 converts to 1001110010000 in binary and 1390 in hexadecimal, which are helpful for computer science applications.
Is 5008 a perfect square, cube, or triangular number?
5008 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5008?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.