61424
61424 is a even composite number that follows 61423 and precedes 61425. It is composed of 20 distinct factors: 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 349, 698, 1396, 2792, 3839, 5584, 7678, 15356, 30712, 61424. Its prime factorization can be written as 2^4 × 11 × 349. 61424 is classified as a abundant number based on the sum of its proper divisors. In computer science, 61424 is represented as 1110111111110000 in binary and EFF0 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 11 × 349) reveals 6 prime building blocks.
Divisible by 2
61424 ends in 4, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
61424 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 17 is not a multiple of 9.
Divisible by 10
61424 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Abundant classification and digit analytics place 61424 within several notable number theory sequences:
Timeline
Deep dive
How 61424 breaks down
61424 carries 20 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 68776, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110111111110000 supports bitwise reasoning, hexadecimal EFF0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 61424 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 61424 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (61419–61429) to tune search ranges, and educators feature 61424 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 61424 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 61424
Is 61424 a prime number?
61424 is composite with 20 total factors and the prime factorization 2^4 × 11 × 349.
What is the prime factorization of 61424?
It breaks down as 2^4 × 11 × 349, multiplying the primes 2 × 2 × 2 × 2 × 11 × 349.
How is 61424 represented in binary and hexadecimal?
61424 converts to 1110111111110000 in binary and EFF0 in hexadecimal, which are helpful for computer science applications.
Is 61424 a perfect square, cube, or triangular number?
61424 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 61424?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.