8372
8372 is a even composite number that follows 8371 and precedes 8373. It is composed of 24 distinct factors: 1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186, 8372. Its prime factorization can be written as 2^2 × 7 × 13 × 23. 8372 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8372 is represented as 10000010110100 in binary and 20B4 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 7 × 13 × 23) reveals 5 prime building blocks.
Divisible by 2
8372 ends in 2, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 72 form a multiple of 4.
Divisible by 5
8372 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
8372 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Abundant classification and digit analytics place 8372 within several notable number theory sequences:
Timeline
Deep dive
How 8372 breaks down
8372 carries 24 distinct factors and a digit signature of 20 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 10444, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000010110100 supports bitwise reasoning, hexadecimal 20B4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8372 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8372 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8367–8377) to tune search ranges, and educators feature 8372 in worksheets about factor trees. Its binary footprint of length 14 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 8372 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 8372
Is 8372 a prime number?
8372 is composite with 24 total factors and the prime factorization 2^2 × 7 × 13 × 23.
What is the prime factorization of 8372?
It breaks down as 2^2 × 7 × 13 × 23, multiplying the primes 2 × 2 × 7 × 13 × 23.
How is 8372 represented in binary and hexadecimal?
8372 converts to 10000010110100 in binary and 20B4 in hexadecimal, which are helpful for computer science applications.
Is 8372 a perfect square, cube, or triangular number?
8372 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8372?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.