62748
62748 is a even composite number that follows 62747 and precedes 62749. It is composed of 48 distinct factors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 83, 84, 108, 126, 166, 189, 249, 252, 332, 378, 498, 581, 747, 756, 996, 1162, 1494, 1743, 2241, 2324, 2988, 3486, 4482, 5229, 6972, 8964, 10458, 15687, 20916, 31374, 62748. Its prime factorization can be written as 2^2 × 3^3 × 7 × 83. 62748 is classified as a abundant number based on the sum of its proper divisors. In computer science, 62748 is represented as 1111010100011100 in binary and F51C in hexadecimal.
Factor Analysis
48 FactorsProperties
The prime factorization (2^2 × 3^3 × 7 × 83) reveals 7 prime building blocks.
Divisible by 2
62748 ends in 8, so it is even.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
62748 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 27 is a multiple of 9.
Divisible by 10
62748 does not end in 0.
Divisible by 11
The alternating digit sum 15 is not a multiple of 11.
Abundant classification and digit analytics place 62748 within several notable number theory sequences:
Timeline
Deep dive
How 62748 breaks down
62748 carries 48 distinct factors and a digit signature of 27 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 125412, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111010100011100 supports bitwise reasoning, hexadecimal F51C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 62748 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 62748 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (62743–62753) to tune search ranges, and educators feature 62748 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, Abundant numbers) help historians, numerologists, and trivia writers tie 62748 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 62748
Is 62748 a prime number?
62748 is composite with 48 total factors and the prime factorization 2^2 × 3^3 × 7 × 83.
What is the prime factorization of 62748?
It breaks down as 2^2 × 3^3 × 7 × 83, multiplying the primes 2 × 2 × 3 × 3 × 3 × 7 × 83.
How is 62748 represented in binary and hexadecimal?
62748 converts to 1111010100011100 in binary and F51C in hexadecimal, which are helpful for computer science applications.
Is 62748 a perfect square, cube, or triangular number?
62748 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 62748?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.