5490
5490 is a even composite number that follows 5489 and precedes 5491. It is composed of 24 distinct factors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745, 5490. Its prime factorization can be written as 2 × 3^2 × 5 × 61. 5490 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5490 is represented as 1010101110010 in binary and 1572 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2 × 3^2 × 5 × 61) reveals 5 prime building blocks.
Divisible by 2
5490 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
5490 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
5490 ends in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Abundant classification and digit analytics place 5490 within several notable number theory sequences:
Timeline
Deep dive
How 5490 breaks down
5490 carries 24 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 9018, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010101110010 supports bitwise reasoning, hexadecimal 1572 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5490 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5490 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5485–5495) to tune search ranges, and educators feature 5490 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 5490 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 5490
Is 5490 a prime number?
5490 is composite with 24 total factors and the prime factorization 2 × 3^2 × 5 × 61.
What is the prime factorization of 5490?
It breaks down as 2 × 3^2 × 5 × 61, multiplying the primes 2 × 3 × 3 × 5 × 61.
How is 5490 represented in binary and hexadecimal?
5490 converts to 1010101110010 in binary and 1572 in hexadecimal, which are helpful for computer science applications.
Is 5490 a perfect square, cube, or triangular number?
5490 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5490?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.