7364
7364 is a even composite number that follows 7363 and precedes 7365. It is composed of 12 distinct factors: 1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364. Its prime factorization can be written as 2^2 × 7 × 263. 7364 is classified as a abundant number based on the sum of its proper divisors. In computer science, 7364 is represented as 1110011000100 in binary and 1CC4 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 7 × 263) reveals 4 prime building blocks.
Divisible by 2
7364 ends in 4, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
7364 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
7364 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 7364 within several notable number theory sequences:
Timeline
Deep dive
How 7364 breaks down
7364 carries 12 distinct factors and a digit signature of 20 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 7420, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110011000100 supports bitwise reasoning, hexadecimal 1CC4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7364 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7364 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7359–7369) to tune search ranges, and educators feature 7364 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 7364 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 7364
Is 7364 a prime number?
7364 is composite with 12 total factors and the prime factorization 2^2 × 7 × 263.
What is the prime factorization of 7364?
It breaks down as 2^2 × 7 × 263, multiplying the primes 2 × 2 × 7 × 263.
How is 7364 represented in binary and hexadecimal?
7364 converts to 1110011000100 in binary and 1CC4 in hexadecimal, which are helpful for computer science applications.
Is 7364 a perfect square, cube, or triangular number?
7364 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7364?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.