31684
31684 is a even composite number that follows 31683 and precedes 31685. It is composed of 9 distinct factors: 1, 2, 4, 89, 178, 356, 7921, 15842, 31684. Its prime factorization can be written as 2^2 × 89^2. 31684 is classified as a deficient number based on the sum of its proper divisors. In computer science, 31684 is represented as 111101111000100 in binary and 7BC4 in hexadecimal. It also belongs to the perfect square sequence.
Factor Analysis
9 FactorsProperties
The prime factorization (2^2 × 89^2) reveals 4 prime building blocks.
Divisible by 2
31684 ends in 4, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
31684 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 22 is not a multiple of 9.
Divisible by 10
31684 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 31684 within several notable number theory sequences:
Timeline
Deep dive
How 31684 breaks down
31684 carries 9 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 24393, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111101111000100 supports bitwise reasoning, hexadecimal 7BC4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 31684 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 31684 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (31679–31689) to tune search ranges, and educators feature 31684 in worksheets about factor trees. Its binary footprint of length 15 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Perfect squares) help historians, numerologists, and trivia writers tie 31684 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 31684
Is 31684 a prime number?
31684 is composite with 9 total factors and the prime factorization 2^2 × 89^2.
What is the prime factorization of 31684?
It breaks down as 2^2 × 89^2, multiplying the primes 2 × 2 × 89 × 89.
How is 31684 represented in binary and hexadecimal?
31684 converts to 111101111000100 in binary and 7BC4 in hexadecimal, which are helpful for computer science applications.
Is 31684 a perfect square, cube, or triangular number?
31684 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 31684?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.