5521
5521 is a odd prime number that follows 5520 and precedes 5522. As a prime number, 5521 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 5521. 5521 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5521 is represented as 1010110010001 in binary and 1591 in hexadecimal.
Factor Analysis
2 FactorsProperties
5521 is prime, so its only factors are 1 and 5521.
Divisible by 2
5521 ends in 1, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 21 are not divisible by 4.
Divisible by 5
5521 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
5521 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 5521 within several notable number theory sequences:
Timeline
Deep dive
How 5521 breaks down
5521 carries 2 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010110010001 supports bitwise reasoning, hexadecimal 1591 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5521 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5521 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5516–5526) to tune search ranges, and educators feature 5521 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 5521 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 5521
Is 5521 a prime number?
5521 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 5521?
5521 is already prime, so the factorization is simply 5521.
How is 5521 represented in binary and hexadecimal?
5521 converts to 1010110010001 in binary and 1591 in hexadecimal, which are helpful for computer science applications.
Is 5521 a perfect square, cube, or triangular number?
5521 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5521?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.