5772
5772 is a even composite number that follows 5771 and precedes 5773. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156, 222, 444, 481, 962, 1443, 1924, 2886, 5772. Its prime factorization can be written as 2^2 × 3 × 13 × 37. 5772 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5772 is represented as 1011010001100 in binary and 168C in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3 × 13 × 37) reveals 5 prime building blocks.
Divisible by 2
5772 ends in 2, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 72 form a multiple of 4.
Divisible by 5
5772 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 21 is not a multiple of 9.
Divisible by 10
5772 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 5772 within several notable number theory sequences:
Timeline
Deep dive
How 5772 breaks down
5772 carries 24 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 9124, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011010001100 supports bitwise reasoning, hexadecimal 168C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5772 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5772 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5767–5777) to tune search ranges, and educators feature 5772 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, Abundant numbers) help historians, numerologists, and trivia writers tie 5772 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 5772
Is 5772 a prime number?
5772 is composite with 24 total factors and the prime factorization 2^2 × 3 × 13 × 37.
What is the prime factorization of 5772?
It breaks down as 2^2 × 3 × 13 × 37, multiplying the primes 2 × 2 × 3 × 13 × 37.
How is 5772 represented in binary and hexadecimal?
5772 converts to 1011010001100 in binary and 168C in hexadecimal, which are helpful for computer science applications.
Is 5772 a perfect square, cube, or triangular number?
5772 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5772?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.