5408
5408 is a even composite number that follows 5407 and precedes 5409. It is composed of 18 distinct factors: 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 169, 208, 338, 416, 676, 1352, 2704, 5408. Its prime factorization can be written as 2^5 × 13^2. 5408 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5408 is represented as 1010100100000 in binary and 1520 in hexadecimal.
Factor Analysis
18 FactorsProperties
The prime factorization (2^5 × 13^2) reveals 7 prime building blocks.
Divisible by 2
5408 ends in 8, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
5408 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 17 is not a multiple of 9.
Divisible by 10
5408 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Abundant classification and digit analytics place 5408 within several notable number theory sequences:
Timeline
Deep dive
How 5408 breaks down
5408 carries 18 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 6121, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010100100000 supports bitwise reasoning, hexadecimal 1520 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5408 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5408 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5403–5413) to tune search ranges, and educators feature 5408 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 5408 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 5408
Is 5408 a prime number?
5408 is composite with 18 total factors and the prime factorization 2^5 × 13^2.
What is the prime factorization of 5408?
It breaks down as 2^5 × 13^2, multiplying the primes 2 × 2 × 2 × 2 × 2 × 13 × 13.
How is 5408 represented in binary and hexadecimal?
5408 converts to 1010100100000 in binary and 1520 in hexadecimal, which are helpful for computer science applications.
Is 5408 a perfect square, cube, or triangular number?
5408 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5408?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.