3164
3164 is a even composite number that follows 3163 and precedes 3165. It is composed of 12 distinct factors: 1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164. Its prime factorization can be written as 2^2 × 7 × 113. 3164 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3164 is represented as 110001011100 in binary and C5C in hexadecimal. Historically, it is written as MMMCLXIV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 7 × 113) reveals 4 prime building blocks.
Divisible by 2
3164 ends in 4, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
3164 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 14 is not a multiple of 9.
Divisible by 10
3164 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 3164 within several notable number theory sequences:
Timeline
Deep dive
How 3164 breaks down
3164 carries 12 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 3220, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110001011100 supports bitwise reasoning, hexadecimal C5C aligns with computing notation, and the Roman numeral MMMCLXIV keeps the encyclopedic tradition alive. These attributes make 3164 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3164 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3159–3169) to tune search ranges, and educators feature 3164 in worksheets about factor trees. Its binary footprint of length 12 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 3164 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 3164
Is 3164 a prime number?
3164 is composite with 12 total factors and the prime factorization 2^2 × 7 × 113.
What is the prime factorization of 3164?
It breaks down as 2^2 × 7 × 113, multiplying the primes 2 × 2 × 7 × 113.
How is 3164 represented in binary and hexadecimal?
3164 converts to 110001011100 in binary and C5C in hexadecimal, which are helpful for computer science applications.
Is 3164 a perfect square, cube, or triangular number?
3164 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3164?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.