67473
67473 is a odd composite number that follows 67472 and precedes 67474. It is composed of 30 distinct factors: 1, 3, 7, 9, 17, 21, 27, 49, 51, 63, 81, 119, 147, 153, 189, 357, 441, 459, 567, 833, 1071, 1323, 1377, 2499, 3213, 3969, 7497, 9639, 22491, 67473. Its prime factorization can be written as 3^4 × 7^2 × 17. 67473 is classified as a deficient number based on the sum of its proper divisors. In computer science, 67473 is represented as 10000011110010001 in binary and 10791 in hexadecimal.
Factor Analysis
30 FactorsProperties
The prime factorization (3^4 × 7^2 × 17) reveals 7 prime building blocks.
Divisible by 2
67473 ends in 3, so it is odd.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
67473 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 27 is a multiple of 9.
Divisible by 10
67473 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 67473 within several notable number theory sequences:
Timeline
Deep dive
How 67473 breaks down
67473 carries 30 distinct factors and a digit signature of 27 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 56673, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000011110010001 supports bitwise reasoning, hexadecimal 10791 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 67473 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 67473 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (67468–67478) to tune search ranges, and educators feature 67473 in worksheets about factor trees. Its binary footprint of length 17 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 67473 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 67473
Is 67473 a prime number?
67473 is composite with 30 total factors and the prime factorization 3^4 × 7^2 × 17.
What is the prime factorization of 67473?
It breaks down as 3^4 × 7^2 × 17, multiplying the primes 3 × 3 × 3 × 3 × 7 × 7 × 17.
How is 67473 represented in binary and hexadecimal?
67473 converts to 10000011110010001 in binary and 10791 in hexadecimal, which are helpful for computer science applications.
Is 67473 a perfect square, cube, or triangular number?
67473 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 67473?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.