7164
7164 is a even composite number that follows 7163 and precedes 7165. It is composed of 18 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 199, 398, 597, 796, 1194, 1791, 2388, 3582, 7164. Its prime factorization can be written as 2^2 × 3^2 × 199. 7164 is classified as a abundant number based on the sum of its proper divisors. In computer science, 7164 is represented as 1101111111100 in binary and 1BFC in hexadecimal.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 3^2 × 199) reveals 5 prime building blocks.
Divisible by 2
7164 ends in 4, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
7164 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
7164 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Abundant classification and digit analytics place 7164 within several notable number theory sequences:
Timeline
Deep dive
How 7164 breaks down
7164 carries 18 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 11036, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101111111100 supports bitwise reasoning, hexadecimal 1BFC aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7164 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7164 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7159–7169) to tune search ranges, and educators feature 7164 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, Abundant numbers) help historians, numerologists, and trivia writers tie 7164 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 7164
Is 7164 a prime number?
7164 is composite with 18 total factors and the prime factorization 2^2 × 3^2 × 199.
What is the prime factorization of 7164?
It breaks down as 2^2 × 3^2 × 199, multiplying the primes 2 × 2 × 3 × 3 × 199.
How is 7164 represented in binary and hexadecimal?
7164 converts to 1101111111100 in binary and 1BFC in hexadecimal, which are helpful for computer science applications.
Is 7164 a perfect square, cube, or triangular number?
7164 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7164?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.