5380
5380 is a even composite number that follows 5379 and precedes 5381. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 20, 269, 538, 1076, 1345, 2690, 5380. Its prime factorization can be written as 2^2 × 5 × 269. 5380 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5380 is represented as 1010100000100 in binary and 1504 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 269) reveals 4 prime building blocks.
Divisible by 2
5380 ends in 0, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 80 form a multiple of 4.
Divisible by 5
5380 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 16 is not a multiple of 9.
Divisible by 10
5380 ends in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Abundant classification and digit analytics place 5380 within several notable number theory sequences:
Timeline
Deep dive
How 5380 breaks down
5380 carries 12 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 5960, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010100000100 supports bitwise reasoning, hexadecimal 1504 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5380 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5380 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5375–5385) to tune search ranges, and educators feature 5380 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 5380 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 5380
Is 5380 a prime number?
5380 is composite with 12 total factors and the prime factorization 2^2 × 5 × 269.
What is the prime factorization of 5380?
It breaks down as 2^2 × 5 × 269, multiplying the primes 2 × 2 × 5 × 269.
How is 5380 represented in binary and hexadecimal?
5380 converts to 1010100000100 in binary and 1504 in hexadecimal, which are helpful for computer science applications.
Is 5380 a perfect square, cube, or triangular number?
5380 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5380?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.