5321
5321 is a odd composite number that follows 5320 and precedes 5322. It is composed of 4 distinct factors: 1, 17, 313, 5321. Its prime factorization can be written as 17 × 313. 5321 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5321 is represented as 1010011001001 in binary and 14C9 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (17 × 313) reveals 2 prime building blocks.
Divisible by 2
5321 ends in 1, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 21 are not divisible by 4.
Divisible by 5
5321 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 11 is not a multiple of 9.
Divisible by 10
5321 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 5321 within several notable number theory sequences:
Timeline
Deep dive
How 5321 breaks down
5321 carries 4 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 331, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010011001001 supports bitwise reasoning, hexadecimal 14C9 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5321 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5321 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5316–5326) to tune search ranges, and educators feature 5321 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 5321 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 5321
Is 5321 a prime number?
5321 is composite with 4 total factors and the prime factorization 17 × 313.
What is the prime factorization of 5321?
It breaks down as 17 × 313, multiplying the primes 17 × 313.
How is 5321 represented in binary and hexadecimal?
5321 converts to 1010011001001 in binary and 14C9 in hexadecimal, which are helpful for computer science applications.
Is 5321 a perfect square, cube, or triangular number?
5321 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5321?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.