8073
8073 is a odd composite number that follows 8072 and precedes 8074. It is composed of 16 distinct factors: 1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073. Its prime factorization can be written as 3^3 × 13 × 23. 8073 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8073 is represented as 1111110001001 in binary and 1F89 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (3^3 × 13 × 23) reveals 5 prime building blocks.
Divisible by 2
8073 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 73 are not divisible by 4.
Divisible by 5
8073 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
8073 does not end in 0.
Divisible by 11
The alternating digit sum 12 is not a multiple of 11.
Deficient classification and digit analytics place 8073 within several notable number theory sequences:
Timeline
Deep dive
How 8073 breaks down
8073 carries 16 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 5367, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111110001001 supports bitwise reasoning, hexadecimal 1F89 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8073 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8073 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8068–8078) to tune search ranges, and educators feature 8073 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, Deficient numbers) help historians, numerologists, and trivia writers tie 8073 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 8073
Is 8073 a prime number?
8073 is composite with 16 total factors and the prime factorization 3^3 × 13 × 23.
What is the prime factorization of 8073?
It breaks down as 3^3 × 13 × 23, multiplying the primes 3 × 3 × 3 × 13 × 23.
How is 8073 represented in binary and hexadecimal?
8073 converts to 1111110001001 in binary and 1F89 in hexadecimal, which are helpful for computer science applications.
Is 8073 a perfect square, cube, or triangular number?
8073 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8073?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.