61425
61425 is a odd composite number that follows 61424 and precedes 61426. It is composed of 48 distinct factors: 1, 3, 5, 7, 9, 13, 15, 21, 25, 27, 35, 39, 45, 63, 65, 75, 91, 105, 117, 135, 175, 189, 195, 225, 273, 315, 325, 351, 455, 525, 585, 675, 819, 945, 975, 1365, 1575, 1755, 2275, 2457, 2925, 4095, 4725, 6825, 8775, 12285, 20475, 61425. Its prime factorization can be written as 3^3 × 5^2 × 7 × 13. 61425 is classified as a abundant number based on the sum of its proper divisors. In computer science, 61425 is represented as 1110111111110001 in binary and EFF1 in hexadecimal. It also belongs to the triangular number sequence.
Factor Analysis
48 FactorsProperties
The prime factorization (3^3 × 5^2 × 7 × 13) reveals 7 prime building blocks.
Divisible by 2
61425 ends in 5, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
61425 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
61425 does not end in 0.
Divisible by 11
The alternating digit sum 12 is not a multiple of 11.
Abundant classification and digit analytics place 61425 within several notable number theory sequences:
Timeline
Deep dive
How 61425 breaks down
61425 carries 48 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 77455, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110111111110001 supports bitwise reasoning, hexadecimal EFF1 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 61425 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 61425 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (61420–61430) to tune search ranges, and educators feature 61425 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, Triangular numbers) help historians, numerologists, and trivia writers tie 61425 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 61425
Is 61425 a prime number?
61425 is composite with 48 total factors and the prime factorization 3^3 × 5^2 × 7 × 13.
What is the prime factorization of 61425?
It breaks down as 3^3 × 5^2 × 7 × 13, multiplying the primes 3 × 3 × 3 × 5 × 5 × 7 × 13.
How is 61425 represented in binary and hexadecimal?
61425 converts to 1110111111110001 in binary and EFF1 in hexadecimal, which are helpful for computer science applications.
Is 61425 a perfect square, cube, or triangular number?
61425 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 61425?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.