41463
41463 is a odd composite number that follows 41462 and precedes 41464. It is composed of 12 distinct factors: 1, 3, 9, 17, 51, 153, 271, 813, 2439, 4607, 13821, 41463. Its prime factorization can be written as 3^2 × 17 × 271. 41463 is classified as a deficient number based on the sum of its proper divisors. In computer science, 41463 is represented as 1010000111110111 in binary and A1F7 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (3^2 × 17 × 271) reveals 4 prime building blocks.
Divisible by 2
41463 ends in 3, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 63 are not divisible by 4.
Divisible by 5
41463 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 18 is a multiple of 9.
Divisible by 10
41463 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 41463 within several notable number theory sequences:
Timeline
Deep dive
How 41463 breaks down
41463 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 22185, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010000111110111 supports bitwise reasoning, hexadecimal A1F7 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 41463 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 41463 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (41458–41468) to tune search ranges, and educators feature 41463 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, Deficient numbers) help historians, numerologists, and trivia writers tie 41463 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 41463
Is 41463 a prime number?
41463 is composite with 12 total factors and the prime factorization 3^2 × 17 × 271.
What is the prime factorization of 41463?
It breaks down as 3^2 × 17 × 271, multiplying the primes 3 × 3 × 17 × 271.
How is 41463 represented in binary and hexadecimal?
41463 converts to 1010000111110111 in binary and A1F7 in hexadecimal, which are helpful for computer science applications.
Is 41463 a perfect square, cube, or triangular number?
41463 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 41463?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.