40748
40748 is a even composite number that follows 40747 and precedes 40749. It is composed of 12 distinct factors: 1, 2, 4, 61, 122, 167, 244, 334, 668, 10187, 20374, 40748. Its prime factorization can be written as 2^2 × 61 × 167. 40748 is classified as a deficient number based on the sum of its proper divisors. In computer science, 40748 is represented as 1001111100101100 in binary and 9F2C in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 61 × 167) reveals 4 prime building blocks.
Divisible by 2
40748 ends in 8, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
40748 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 23 is not a multiple of 9.
Divisible by 10
40748 does not end in 0.
Divisible by 11
The alternating digit sum 15 is not a multiple of 11.
Deficient classification and digit analytics place 40748 within several notable number theory sequences:
Timeline
Deep dive
How 40748 breaks down
40748 carries 12 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 32164, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001111100101100 supports bitwise reasoning, hexadecimal 9F2C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 40748 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 40748 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (40743–40753) to tune search ranges, and educators feature 40748 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) help historians, numerologists, and trivia writers tie 40748 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 40748
Is 40748 a prime number?
40748 is composite with 12 total factors and the prime factorization 2^2 × 61 × 167.
What is the prime factorization of 40748?
It breaks down as 2^2 × 61 × 167, multiplying the primes 2 × 2 × 61 × 167.
How is 40748 represented in binary and hexadecimal?
40748 converts to 1001111100101100 in binary and 9F2C in hexadecimal, which are helpful for computer science applications.
Is 40748 a perfect square, cube, or triangular number?
40748 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 40748?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.