5476
5476 is a even composite number that follows 5475 and precedes 5477. It is composed of 9 distinct factors: 1, 2, 4, 37, 74, 148, 1369, 2738, 5476. Its prime factorization can be written as 2^2 × 37^2. 5476 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5476 is represented as 1010101100100 in binary and 1564 in hexadecimal. It also belongs to the perfect square sequence.
Factor Analysis
9 FactorsProperties
The prime factorization (2^2 × 37^2) reveals 4 prime building blocks.
Divisible by 2
5476 ends in 6, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 76 form a multiple of 4.
Divisible by 5
5476 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 22 is not a multiple of 9.
Divisible by 10
5476 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 5476 within several notable number theory sequences:
Timeline
Deep dive
How 5476 breaks down
5476 carries 9 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 4373, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010101100100 supports bitwise reasoning, hexadecimal 1564 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5476 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5476 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5471–5481) to tune search ranges, and educators feature 5476 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, Perfect squares) help historians, numerologists, and trivia writers tie 5476 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 5476
Is 5476 a prime number?
5476 is composite with 9 total factors and the prime factorization 2^2 × 37^2.
What is the prime factorization of 5476?
It breaks down as 2^2 × 37^2, multiplying the primes 2 × 2 × 37 × 37.
How is 5476 represented in binary and hexadecimal?
5476 converts to 1010101100100 in binary and 1564 in hexadecimal, which are helpful for computer science applications.
Is 5476 a perfect square, cube, or triangular number?
5476 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5476?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.