5491
5491 is a odd composite number that follows 5490 and precedes 5492. It is composed of 6 distinct factors: 1, 17, 19, 289, 323, 5491. Its prime factorization can be written as 17^2 × 19. 5491 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5491 is represented as 1010101110011 in binary and 1573 in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (17^2 × 19) reveals 3 prime building blocks.
Divisible by 2
5491 ends in 1, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 91 are not divisible by 4.
Divisible by 5
5491 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 19 is not a multiple of 9.
Divisible by 10
5491 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 5491 within several notable number theory sequences:
Timeline
Deep dive
How 5491 breaks down
5491 carries 6 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 649, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010101110011 supports bitwise reasoning, hexadecimal 1573 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5491 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5491 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5486–5496) to tune search ranges, and educators feature 5491 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 5491 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 5491
Is 5491 a prime number?
5491 is composite with 6 total factors and the prime factorization 17^2 × 19.
What is the prime factorization of 5491?
It breaks down as 17^2 × 19, multiplying the primes 17 × 17 × 19.
How is 5491 represented in binary and hexadecimal?
5491 converts to 1010101110011 in binary and 1573 in hexadecimal, which are helpful for computer science applications.
Is 5491 a perfect square, cube, or triangular number?
5491 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5491?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.