5590
5590 is a even composite number that follows 5589 and precedes 5591. It is composed of 16 distinct factors: 1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 215, 430, 559, 1118, 2795, 5590. Its prime factorization can be written as 2 × 5 × 13 × 43. 5590 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5590 is represented as 1010111010110 in binary and 15D6 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5 × 13 × 43) reveals 4 prime building blocks.
Divisible by 2
5590 ends in 0, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
5590 ends in 0, so it is divisible by 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
5590 ends in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 5590 within several notable number theory sequences:
Timeline
Deep dive
How 5590 breaks down
5590 carries 16 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 5498, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010111010110 supports bitwise reasoning, hexadecimal 15D6 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5590 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5590 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5585–5595) to tune search ranges, and educators feature 5590 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 5590 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 5590
Is 5590 a prime number?
5590 is composite with 16 total factors and the prime factorization 2 × 5 × 13 × 43.
What is the prime factorization of 5590?
It breaks down as 2 × 5 × 13 × 43, multiplying the primes 2 × 5 × 13 × 43.
How is 5590 represented in binary and hexadecimal?
5590 converts to 1010111010110 in binary and 15D6 in hexadecimal, which are helpful for computer science applications.
Is 5590 a perfect square, cube, or triangular number?
5590 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5590?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.