5355
5355 is a odd composite number that follows 5354 and precedes 5356. It is composed of 24 distinct factors: 1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355. Its prime factorization can be written as 3^2 × 5 × 7 × 17. 5355 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5355 is represented as 1010011101011 in binary and 14EB in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (3^2 × 5 × 7 × 17) reveals 5 prime building blocks.
Divisible by 2
5355 ends in 5, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 55 are not divisible by 4.
Divisible by 5
5355 ends in 5, 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 18 is a multiple of 9.
Divisible by 10
5355 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 5355 within several notable number theory sequences:
Timeline
Deep dive
How 5355 breaks down
5355 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 5877, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010011101011 supports bitwise reasoning, hexadecimal 14EB aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5355 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5355 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5350–5360) to tune search ranges, and educators feature 5355 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 5355 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 5355
Is 5355 a prime number?
5355 is composite with 24 total factors and the prime factorization 3^2 × 5 × 7 × 17.
What is the prime factorization of 5355?
It breaks down as 3^2 × 5 × 7 × 17, multiplying the primes 3 × 3 × 5 × 7 × 17.
How is 5355 represented in binary and hexadecimal?
5355 converts to 1010011101011 in binary and 14EB in hexadecimal, which are helpful for computer science applications.
Is 5355 a perfect square, cube, or triangular number?
5355 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5355?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.