55696
55696 is a even composite number that follows 55695 and precedes 55697. It is composed of 15 distinct factors: 1, 2, 4, 8, 16, 59, 118, 236, 472, 944, 3481, 6962, 13924, 27848, 55696. Its prime factorization can be written as 2^4 × 59^2. 55696 is classified as a deficient number based on the sum of its proper divisors. In computer science, 55696 is represented as 1101100110010000 in binary and D990 in hexadecimal. It also belongs to the perfect square sequence.
Factor Analysis
15 FactorsProperties
The prime factorization (2^4 × 59^2) reveals 6 prime building blocks.
Divisible by 2
55696 ends in 6, so it is even.
Divisible by 3
The digit sum 31 is not a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
55696 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
55696 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 55696 within several notable number theory sequences:
Timeline
Deep dive
How 55696 breaks down
55696 carries 15 distinct factors and a digit signature of 31 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 54075, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101100110010000 supports bitwise reasoning, hexadecimal D990 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55696 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55696 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55691–55701) to tune search ranges, and educators feature 55696 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, Perfect squares) help historians, numerologists, and trivia writers tie 55696 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 55696
Is 55696 a prime number?
55696 is composite with 15 total factors and the prime factorization 2^4 × 59^2.
What is the prime factorization of 55696?
It breaks down as 2^4 × 59^2, multiplying the primes 2 × 2 × 2 × 2 × 59 × 59.
How is 55696 represented in binary and hexadecimal?
55696 converts to 1101100110010000 in binary and D990 in hexadecimal, which are helpful for computer science applications.
Is 55696 a perfect square, cube, or triangular number?
55696 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55696?
The digits sum to 31, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.