8164
8164 is a even composite number that follows 8163 and precedes 8165. It is composed of 12 distinct factors: 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164. Its prime factorization can be written as 2^2 × 13 × 157. 8164 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8164 is represented as 1111111100100 in binary and 1FE4 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 13 × 157) reveals 4 prime building blocks.
Divisible by 2
8164 ends in 4, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
8164 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 19 is not a multiple of 9.
Divisible by 10
8164 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 8164 within several notable number theory sequences:
Timeline
Deep dive
How 8164 breaks down
8164 carries 12 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 7320, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111111100100 supports bitwise reasoning, hexadecimal 1FE4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8164 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8164 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8159–8169) to tune search ranges, and educators feature 8164 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 8164 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 8164
Is 8164 a prime number?
8164 is composite with 12 total factors and the prime factorization 2^2 × 13 × 157.
What is the prime factorization of 8164?
It breaks down as 2^2 × 13 × 157, multiplying the primes 2 × 2 × 13 × 157.
How is 8164 represented in binary and hexadecimal?
8164 converts to 1111111100100 in binary and 1FE4 in hexadecimal, which are helpful for computer science applications.
Is 8164 a perfect square, cube, or triangular number?
8164 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8164?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.