21004
21004 is a even composite number that follows 21003 and precedes 21005. It is composed of 12 distinct factors: 1, 2, 4, 59, 89, 118, 178, 236, 356, 5251, 10502, 21004. Its prime factorization can be written as 2^2 × 59 × 89. 21004 is classified as a deficient number based on the sum of its proper divisors. In computer science, 21004 is represented as 101001000001100 in binary and 520C in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 59 × 89) reveals 4 prime building blocks.
Divisible by 2
21004 ends in 4, so it is even.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
21004 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
21004 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 21004 within several notable number theory sequences:
Timeline
Deep dive
How 21004 breaks down
21004 carries 12 distinct factors and a digit signature of 7 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 16796, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001000001100 supports bitwise reasoning, hexadecimal 520C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 21004 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 21004 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (20999–21009) to tune search ranges, and educators feature 21004 in worksheets about factor trees. Its binary footprint of length 15 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 21004 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 21004
Is 21004 a prime number?
21004 is composite with 12 total factors and the prime factorization 2^2 × 59 × 89.
What is the prime factorization of 21004?
It breaks down as 2^2 × 59 × 89, multiplying the primes 2 × 2 × 59 × 89.
How is 21004 represented in binary and hexadecimal?
21004 converts to 101001000001100 in binary and 520C in hexadecimal, which are helpful for computer science applications.
Is 21004 a perfect square, cube, or triangular number?
21004 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 21004?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.