7987
7987 is a odd composite number that follows 7986 and precedes 7988. It is composed of 6 distinct factors: 1, 7, 49, 163, 1141, 7987. Its prime factorization can be written as 7^2 × 163. 7987 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7987 is represented as 1111100110011 in binary and 1F33 in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (7^2 × 163) reveals 3 prime building blocks.
Divisible by 2
7987 ends in 7, so it is odd.
Divisible by 3
The digit sum 31 is not a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
7987 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 31 is not a multiple of 9.
Divisible by 10
7987 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 7987 within several notable number theory sequences:
Timeline
Deep dive
How 7987 breaks down
7987 carries 6 distinct factors and a digit signature of 31 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1361, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111100110011 supports bitwise reasoning, hexadecimal 1F33 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7987 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7987 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7982–7992) to tune search ranges, and educators feature 7987 in worksheets about factor trees. Its binary footprint of length 13 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 7987 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 7987
Is 7987 a prime number?
7987 is composite with 6 total factors and the prime factorization 7^2 × 163.
What is the prime factorization of 7987?
It breaks down as 7^2 × 163, multiplying the primes 7 × 7 × 163.
How is 7987 represented in binary and hexadecimal?
7987 converts to 1111100110011 in binary and 1F33 in hexadecimal, which are helpful for computer science applications.
Is 7987 a perfect square, cube, or triangular number?
7987 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7987?
The digits sum to 31, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.