5002
5002 is a even composite number that follows 5001 and precedes 5003. It is composed of 8 distinct factors: 1, 2, 41, 61, 82, 122, 2501, 5002. Its prime factorization can be written as 2 × 41 × 61. 5002 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5002 is represented as 1001110001010 in binary and 138A in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 41 × 61) reveals 3 prime building blocks.
Divisible by 2
5002 ends in 2, so it is even.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 02 are not divisible by 4.
Divisible by 5
5002 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 7 is not a multiple of 9.
Divisible by 10
5002 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 5002 within several notable number theory sequences:
Timeline
Deep dive
How 5002 breaks down
5002 carries 8 distinct factors and a digit signature of 7 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 2810, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001110001010 supports bitwise reasoning, hexadecimal 138A aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5002 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5002 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4997–5007) to tune search ranges, and educators feature 5002 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 5002 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 5002
Is 5002 a prime number?
5002 is composite with 8 total factors and the prime factorization 2 × 41 × 61.
What is the prime factorization of 5002?
It breaks down as 2 × 41 × 61, multiplying the primes 2 × 41 × 61.
How is 5002 represented in binary and hexadecimal?
5002 converts to 1001110001010 in binary and 138A in hexadecimal, which are helpful for computer science applications.
Is 5002 a perfect square, cube, or triangular number?
5002 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5002?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.