61204
61204 is a even composite number that follows 61203 and precedes 61205. It is composed of 24 distinct factors: 1, 2, 4, 11, 13, 22, 26, 44, 52, 107, 143, 214, 286, 428, 572, 1177, 1391, 2354, 2782, 4708, 5564, 15301, 30602, 61204. Its prime factorization can be written as 2^2 × 11 × 13 × 107. 61204 is classified as a abundant number based on the sum of its proper divisors. In computer science, 61204 is represented as 1110111100010100 in binary and EF14 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 11 × 13 × 107) reveals 5 prime building blocks.
Divisible by 2
61204 ends in 4, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
61204 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 13 is not a multiple of 9.
Divisible by 10
61204 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Abundant classification and digit analytics place 61204 within several notable number theory sequences:
Timeline
Deep dive
How 61204 breaks down
61204 carries 24 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 65804, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110111100010100 supports bitwise reasoning, hexadecimal EF14 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 61204 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 61204 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (61199–61209) to tune search ranges, and educators feature 61204 in worksheets about factor trees. Its binary footprint of length 16 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 61204 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 61204
Is 61204 a prime number?
61204 is composite with 24 total factors and the prime factorization 2^2 × 11 × 13 × 107.
What is the prime factorization of 61204?
It breaks down as 2^2 × 11 × 13 × 107, multiplying the primes 2 × 2 × 11 × 13 × 107.
How is 61204 represented in binary and hexadecimal?
61204 converts to 1110111100010100 in binary and EF14 in hexadecimal, which are helpful for computer science applications.
Is 61204 a perfect square, cube, or triangular number?
61204 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 61204?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.