5474
5474 is a even composite number that follows 5473 and precedes 5475. It is composed of 16 distinct factors: 1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474. Its prime factorization can be written as 2 × 7 × 17 × 23. 5474 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5474 is represented as 1010101100010 in binary and 1562 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 7 × 17 × 23) reveals 4 prime building blocks.
Divisible by 2
5474 ends in 4, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 74 are not divisible by 4.
Divisible by 5
5474 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 20 is not a multiple of 9.
Divisible by 10
5474 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 5474 within several notable number theory sequences:
Timeline
Deep dive
How 5474 breaks down
5474 carries 16 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 4894, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010101100010 supports bitwise reasoning, hexadecimal 1562 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5474 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5474 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5469–5479) to tune search ranges, and educators feature 5474 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 5474 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 5474
Is 5474 a prime number?
5474 is composite with 16 total factors and the prime factorization 2 × 7 × 17 × 23.
What is the prime factorization of 5474?
It breaks down as 2 × 7 × 17 × 23, multiplying the primes 2 × 7 × 17 × 23.
How is 5474 represented in binary and hexadecimal?
5474 converts to 1010101100010 in binary and 1562 in hexadecimal, which are helpful for computer science applications.
Is 5474 a perfect square, cube, or triangular number?
5474 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5474?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.