16748
16748 is a even composite number that follows 16747 and precedes 16749. It is composed of 12 distinct factors: 1, 2, 4, 53, 79, 106, 158, 212, 316, 4187, 8374, 16748. Its prime factorization can be written as 2^2 × 53 × 79. 16748 is classified as a deficient number based on the sum of its proper divisors. In computer science, 16748 is represented as 100000101101100 in binary and 416C in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 53 × 79) reveals 4 prime building blocks.
Divisible by 2
16748 ends in 8, so it is even.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
16748 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 26 is not a multiple of 9.
Divisible by 10
16748 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 16748 within several notable number theory sequences:
Timeline
Deep dive
How 16748 breaks down
16748 carries 12 distinct factors and a digit signature of 26 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 13492, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100000101101100 supports bitwise reasoning, hexadecimal 416C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 16748 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 16748 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (16743–16753) to tune search ranges, and educators feature 16748 in worksheets about factor trees. Its binary footprint of length 15 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 16748 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 16748
Is 16748 a prime number?
16748 is composite with 12 total factors and the prime factorization 2^2 × 53 × 79.
What is the prime factorization of 16748?
It breaks down as 2^2 × 53 × 79, multiplying the primes 2 × 2 × 53 × 79.
How is 16748 represented in binary and hexadecimal?
16748 converts to 100000101101100 in binary and 416C in hexadecimal, which are helpful for computer science applications.
Is 16748 a perfect square, cube, or triangular number?
16748 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 16748?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.