7552
7552 is a even composite number that follows 7551 and precedes 7553. It is composed of 16 distinct factors: 1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 472, 944, 1888, 3776, 7552. Its prime factorization can be written as 2^7 × 59. 7552 is classified as a abundant number based on the sum of its proper divisors. In computer science, 7552 is represented as 1110110000000 in binary and 1D80 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^7 × 59) reveals 8 prime building blocks.
Divisible by 2
7552 ends in 2, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 52 form a multiple of 4.
Divisible by 5
7552 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 19 is not a multiple of 9.
Divisible by 10
7552 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 7552 within several notable number theory sequences:
Timeline
Deep dive
How 7552 breaks down
7552 carries 16 distinct factors and a digit signature of 19 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 7748, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110110000000 supports bitwise reasoning, hexadecimal 1D80 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7552 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7552 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7547–7557) to tune search ranges, and educators feature 7552 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 7552 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 7552
Is 7552 a prime number?
7552 is composite with 16 total factors and the prime factorization 2^7 × 59.
What is the prime factorization of 7552?
It breaks down as 2^7 × 59, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 2 × 59.
How is 7552 represented in binary and hexadecimal?
7552 converts to 1110110000000 in binary and 1D80 in hexadecimal, which are helpful for computer science applications.
Is 7552 a perfect square, cube, or triangular number?
7552 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7552?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.