5790
5790 is a even composite number that follows 5789 and precedes 5791. It is composed of 16 distinct factors: 1, 2, 3, 5, 6, 10, 15, 30, 193, 386, 579, 965, 1158, 1930, 2895, 5790. Its prime factorization can be written as 2 × 3 × 5 × 193. 5790 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5790 is represented as 1011010011110 in binary and 169E in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 5 × 193) reveals 4 prime building blocks.
Divisible by 2
5790 ends in 0, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
5790 ends in 0, so it is divisible by 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 21 is not a multiple of 9.
Divisible by 10
5790 ends in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Abundant classification and digit analytics place 5790 within several notable number theory sequences:
Timeline
Deep dive
How 5790 breaks down
5790 carries 16 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 8178, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011010011110 supports bitwise reasoning, hexadecimal 169E aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5790 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5790 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5785–5795) to tune search ranges, and educators feature 5790 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, Abundant numbers) help historians, numerologists, and trivia writers tie 5790 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 5790
Is 5790 a prime number?
5790 is composite with 16 total factors and the prime factorization 2 × 3 × 5 × 193.
What is the prime factorization of 5790?
It breaks down as 2 × 3 × 5 × 193, multiplying the primes 2 × 3 × 5 × 193.
How is 5790 represented in binary and hexadecimal?
5790 converts to 1011010011110 in binary and 169E in hexadecimal, which are helpful for computer science applications.
Is 5790 a perfect square, cube, or triangular number?
5790 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5790?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.