41472
41472 is a even composite number that follows 41471 and precedes 41473. It is composed of 50 distinct factors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 128, 144, 162, 192, 216, 256, 288, 324, 384, 432, 512, 576, 648, 768, 864, 1152, 1296, 1536, 1728, 2304, 2592, 3456, 4608, 5184, 6912, 10368, 13824, 20736, 41472. Its prime factorization can be written as 2^9 × 3^4. 41472 is classified as a abundant number based on the sum of its proper divisors. In computer science, 41472 is represented as 1010001000000000 in binary and A200 in hexadecimal.
Factor Analysis
50 FactorsProperties
The prime factorization (2^9 × 3^4) reveals 13 prime building blocks.
Divisible by 2
41472 ends in 2, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 72 form a multiple of 4.
Divisible by 5
41472 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 18 is a multiple of 9.
Divisible by 10
41472 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 41472 within several notable number theory sequences:
Timeline
Deep dive
How 41472 breaks down
41472 carries 50 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 82311, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010001000000000 supports bitwise reasoning, hexadecimal A200 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 41472 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 41472 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (41467–41477) to tune search ranges, and educators feature 41472 in worksheets about factor trees. Its binary footprint of length 16 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 41472 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 41472
Is 41472 a prime number?
41472 is composite with 50 total factors and the prime factorization 2^9 × 3^4.
What is the prime factorization of 41472?
It breaks down as 2^9 × 3^4, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3.
How is 41472 represented in binary and hexadecimal?
41472 converts to 1010001000000000 in binary and A200 in hexadecimal, which are helpful for computer science applications.
Is 41472 a perfect square, cube, or triangular number?
41472 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 41472?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.