42625
42625 is a odd composite number that follows 42624 and precedes 42626. It is composed of 16 distinct factors: 1, 5, 11, 25, 31, 55, 125, 155, 275, 341, 775, 1375, 1705, 3875, 8525, 42625. Its prime factorization can be written as 5^3 × 11 × 31. 42625 is classified as a deficient number based on the sum of its proper divisors. In computer science, 42625 is represented as 1010011010000001 in binary and A681 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (5^3 × 11 × 31) reveals 5 prime building blocks.
Divisible by 2
42625 ends in 5, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
42625 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 19 is not a multiple of 9.
Divisible by 10
42625 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Deficient classification and digit analytics place 42625 within several notable number theory sequences:
Timeline
Deep dive
How 42625 breaks down
42625 carries 16 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 17279, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010011010000001 supports bitwise reasoning, hexadecimal A681 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 42625 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 42625 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (42620–42630) to tune search ranges, and educators feature 42625 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, Deficient numbers) help historians, numerologists, and trivia writers tie 42625 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 42625
Is 42625 a prime number?
42625 is composite with 16 total factors and the prime factorization 5^3 × 11 × 31.
What is the prime factorization of 42625?
It breaks down as 5^3 × 11 × 31, multiplying the primes 5 × 5 × 5 × 11 × 31.
How is 42625 represented in binary and hexadecimal?
42625 converts to 1010011010000001 in binary and A681 in hexadecimal, which are helpful for computer science applications.
Is 42625 a perfect square, cube, or triangular number?
42625 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 42625?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.