9472
9472 is a even composite number that follows 9471 and precedes 9473. It is composed of 18 distinct factors: 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 592, 1184, 2368, 4736, 9472. Its prime factorization can be written as 2^8 × 37. 9472 is classified as a abundant number based on the sum of its proper divisors. In computer science, 9472 is represented as 10010100000000 in binary and 2500 in hexadecimal.
Factor Analysis
18 FactorsProperties
The prime factorization (2^8 × 37) reveals 9 prime building blocks.
Divisible by 2
9472 ends in 2, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 72 form a multiple of 4.
Divisible by 5
9472 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 22 is not a multiple of 9.
Divisible by 10
9472 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Abundant classification and digit analytics place 9472 within several notable number theory sequences:
Timeline
Deep dive
How 9472 breaks down
9472 carries 18 distinct factors and a digit signature of 22 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 9946, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010100000000 supports bitwise reasoning, hexadecimal 2500 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9472 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9472 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9467–9477) to tune search ranges, and educators feature 9472 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 9472 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 9472
Is 9472 a prime number?
9472 is composite with 18 total factors and the prime factorization 2^8 × 37.
What is the prime factorization of 9472?
It breaks down as 2^8 × 37, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 37.
How is 9472 represented in binary and hexadecimal?
9472 converts to 10010100000000 in binary and 2500 in hexadecimal, which are helpful for computer science applications.
Is 9472 a perfect square, cube, or triangular number?
9472 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9472?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.