31204
31204 is a even composite number that follows 31203 and precedes 31205. It is composed of 12 distinct factors: 1, 2, 4, 29, 58, 116, 269, 538, 1076, 7801, 15602, 31204. Its prime factorization can be written as 2^2 × 29 × 269. 31204 is classified as a deficient number based on the sum of its proper divisors. In computer science, 31204 is represented as 111100111100100 in binary and 79E4 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 29 × 269) reveals 4 prime building blocks.
Divisible by 2
31204 ends in 4, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
31204 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 10 is not a multiple of 9.
Divisible by 10
31204 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 31204 within several notable number theory sequences:
Timeline
Deep dive
How 31204 breaks down
31204 carries 12 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 25496, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111100111100100 supports bitwise reasoning, hexadecimal 79E4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 31204 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 31204 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (31199–31209) to tune search ranges, and educators feature 31204 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) help historians, numerologists, and trivia writers tie 31204 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 31204
Is 31204 a prime number?
31204 is composite with 12 total factors and the prime factorization 2^2 × 29 × 269.
What is the prime factorization of 31204?
It breaks down as 2^2 × 29 × 269, multiplying the primes 2 × 2 × 29 × 269.
How is 31204 represented in binary and hexadecimal?
31204 converts to 111100111100100 in binary and 79E4 in hexadecimal, which are helpful for computer science applications.
Is 31204 a perfect square, cube, or triangular number?
31204 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 31204?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.