5440
5440 is a even composite number that follows 5439 and precedes 5441. It is composed of 28 distinct factors: 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 320, 340, 544, 680, 1088, 1360, 2720, 5440. Its prime factorization can be written as 2^6 × 5 × 17. 5440 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5440 is represented as 1010101000000 in binary and 1540 in hexadecimal.
Factor Analysis
28 FactorsProperties
The prime factorization (2^6 × 5 × 17) reveals 8 prime building blocks.
Divisible by 2
5440 ends in 0, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
5440 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 13 is not a multiple of 9.
Divisible by 10
5440 ends in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 5440 within several notable number theory sequences:
Timeline
Deep dive
How 5440 breaks down
5440 carries 28 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 8276, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010101000000 supports bitwise reasoning, hexadecimal 1540 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5440 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5440 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5435–5445) to tune search ranges, and educators feature 5440 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 5440 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 5440
Is 5440 a prime number?
5440 is composite with 28 total factors and the prime factorization 2^6 × 5 × 17.
What is the prime factorization of 5440?
It breaks down as 2^6 × 5 × 17, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 5 × 17.
How is 5440 represented in binary and hexadecimal?
5440 converts to 1010101000000 in binary and 1540 in hexadecimal, which are helpful for computer science applications.
Is 5440 a perfect square, cube, or triangular number?
5440 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5440?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.