13552
13552 is a even composite number that follows 13551 and precedes 13553. It is composed of 30 distinct factors: 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 121, 154, 176, 242, 308, 484, 616, 847, 968, 1232, 1694, 1936, 3388, 6776, 13552. Its prime factorization can be written as 2^4 × 7 × 11^2. 13552 is classified as a abundant number based on the sum of its proper divisors. In computer science, 13552 is represented as 11010011110000 in binary and 34F0 in hexadecimal.
Factor Analysis
30 FactorsProperties
The prime factorization (2^4 × 7 × 11^2) reveals 7 prime building blocks.
Divisible by 2
13552 ends in 2, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 52 form a multiple of 4.
Divisible by 5
13552 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 16 is not a multiple of 9.
Divisible by 10
13552 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 13552 within several notable number theory sequences:
Timeline
Deep dive
How 13552 breaks down
13552 carries 30 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 19432, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11010011110000 supports bitwise reasoning, hexadecimal 34F0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 13552 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 13552 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (13547–13557) to tune search ranges, and educators feature 13552 in worksheets about factor trees. Its binary footprint of length 14 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 13552 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 13552
Is 13552 a prime number?
13552 is composite with 30 total factors and the prime factorization 2^4 × 7 × 11^2.
What is the prime factorization of 13552?
It breaks down as 2^4 × 7 × 11^2, multiplying the primes 2 × 2 × 2 × 2 × 7 × 11 × 11.
How is 13552 represented in binary and hexadecimal?
13552 converts to 11010011110000 in binary and 34F0 in hexadecimal, which are helpful for computer science applications.
Is 13552 a perfect square, cube, or triangular number?
13552 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 13552?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.