7290
7290 is a even composite number that follows 7289 and precedes 7291. It is composed of 28 distinct factors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 729, 810, 1215, 1458, 2430, 3645, 7290. Its prime factorization can be written as 2 × 3^6 × 5. 7290 is classified as a abundant number based on the sum of its proper divisors. In computer science, 7290 is represented as 1110001111010 in binary and 1C7A in hexadecimal.
Factor Analysis
28 FactorsProperties
The prime factorization (2 × 3^6 × 5) reveals 8 prime building blocks.
Divisible by 2
7290 ends in 0, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
7290 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 18 is a multiple of 9.
Divisible by 10
7290 ends in 0.
Divisible by 11
The alternating digit sum 14 is not a multiple of 11.
Abundant classification and digit analytics place 7290 within several notable number theory sequences:
Timeline
Deep dive
How 7290 breaks down
7290 carries 28 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 12384, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110001111010 supports bitwise reasoning, hexadecimal 1C7A aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7290 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7290 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7285–7295) to tune search ranges, and educators feature 7290 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 7290 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 7290
Is 7290 a prime number?
7290 is composite with 28 total factors and the prime factorization 2 × 3^6 × 5.
What is the prime factorization of 7290?
It breaks down as 2 × 3^6 × 5, multiplying the primes 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5.
How is 7290 represented in binary and hexadecimal?
7290 converts to 1110001111010 in binary and 1C7A in hexadecimal, which are helpful for computer science applications.
Is 7290 a perfect square, cube, or triangular number?
7290 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7290?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.