7152
7152 is a even composite number that follows 7151 and precedes 7153. It is composed of 20 distinct factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 149, 298, 447, 596, 894, 1192, 1788, 2384, 3576, 7152. Its prime factorization can be written as 2^4 × 3 × 149. 7152 is classified as a abundant number based on the sum of its proper divisors. In computer science, 7152 is represented as 1101111110000 in binary and 1BF0 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 3 × 149) reveals 6 prime building blocks.
Divisible by 2
7152 ends in 2, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 52 form a multiple of 4.
Divisible by 5
7152 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
7152 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Abundant classification and digit analytics place 7152 within several notable number theory sequences:
Timeline
Deep dive
How 7152 breaks down
7152 carries 20 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 11448, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101111110000 supports bitwise reasoning, hexadecimal 1BF0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7152 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7152 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7147–7157) to tune search ranges, and educators feature 7152 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 7152 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 7152
Is 7152 a prime number?
7152 is composite with 20 total factors and the prime factorization 2^4 × 3 × 149.
What is the prime factorization of 7152?
It breaks down as 2^4 × 3 × 149, multiplying the primes 2 × 2 × 2 × 2 × 3 × 149.
How is 7152 represented in binary and hexadecimal?
7152 converts to 1101111110000 in binary and 1BF0 in hexadecimal, which are helpful for computer science applications.
Is 7152 a perfect square, cube, or triangular number?
7152 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7152?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.