7696
7696 is a even composite number that follows 7695 and precedes 7697. It is composed of 20 distinct factors: 1, 2, 4, 8, 13, 16, 26, 37, 52, 74, 104, 148, 208, 296, 481, 592, 962, 1924, 3848, 7696. Its prime factorization can be written as 2^4 × 13 × 37. 7696 is classified as a abundant number based on the sum of its proper divisors. In computer science, 7696 is represented as 1111000010000 in binary and 1E10 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 13 × 37) reveals 6 prime building blocks.
Divisible by 2
7696 ends in 6, so it is even.
Divisible by 3
The digit sum 28 is not a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
7696 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 28 is not a multiple of 9.
Divisible by 10
7696 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 7696 within several notable number theory sequences:
Timeline
Deep dive
How 7696 breaks down
7696 carries 20 distinct factors and a digit signature of 28 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 8796, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111000010000 supports bitwise reasoning, hexadecimal 1E10 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7696 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7696 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7691–7701) to tune search ranges, and educators feature 7696 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, Abundant numbers) help historians, numerologists, and trivia writers tie 7696 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 7696
Is 7696 a prime number?
7696 is composite with 20 total factors and the prime factorization 2^4 × 13 × 37.
What is the prime factorization of 7696?
It breaks down as 2^4 × 13 × 37, multiplying the primes 2 × 2 × 2 × 2 × 13 × 37.
How is 7696 represented in binary and hexadecimal?
7696 converts to 1111000010000 in binary and 1E10 in hexadecimal, which are helpful for computer science applications.
Is 7696 a perfect square, cube, or triangular number?
7696 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7696?
The digits sum to 28, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.