42507
42507 is a odd composite number that follows 42506 and precedes 42508. It is composed of 6 distinct factors: 1, 3, 9, 4723, 14169, 42507. Its prime factorization can be written as 3^2 × 4723. 42507 is classified as a deficient number based on the sum of its proper divisors. In computer science, 42507 is represented as 1010011000001011 in binary and A60B in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 4723) reveals 3 prime building blocks.
Divisible by 2
42507 ends in 7, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 07 are not divisible by 4.
Divisible by 5
42507 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 18 is a multiple of 9.
Divisible by 10
42507 does not end in 0.
Divisible by 11
The alternating digit sum 14 is not a multiple of 11.
Deficient classification and digit analytics place 42507 within several notable number theory sequences:
Timeline
Deep dive
How 42507 breaks down
42507 carries 6 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 18905, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010011000001011 supports bitwise reasoning, hexadecimal A60B aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 42507 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 42507 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (42502–42512) to tune search ranges, and educators feature 42507 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 42507 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 42507
Is 42507 a prime number?
42507 is composite with 6 total factors and the prime factorization 3^2 × 4723.
What is the prime factorization of 42507?
It breaks down as 3^2 × 4723, multiplying the primes 3 × 3 × 4723.
How is 42507 represented in binary and hexadecimal?
42507 converts to 1010011000001011 in binary and A60B in hexadecimal, which are helpful for computer science applications.
Is 42507 a perfect square, cube, or triangular number?
42507 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 42507?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.