1364
1364 is a even composite number that follows 1363 and precedes 1365. It is composed of 12 distinct factors: 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364. Its prime factorization can be written as 2^2 × 11 × 31. 1364 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1364 is represented as 10101010100 in binary and 554 in hexadecimal. Historically, it is written as MCCCLXIV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 11 × 31) reveals 4 prime building blocks.
Divisible by 2
1364 ends in 4, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
1364 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 14 is not a multiple of 9.
Divisible by 10
1364 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 1364 within several notable number theory sequences:
Timeline
Deep dive
How 1364 breaks down
1364 carries 12 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 1324, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10101010100 supports bitwise reasoning, hexadecimal 554 aligns with computing notation, and the Roman numeral MCCCLXIV keeps the encyclopedic tradition alive. These attributes make 1364 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1364 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1359–1369) to tune search ranges, and educators feature 1364 in worksheets about factor trees. Its binary footprint of length 11 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 1364 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 1364
Is 1364 a prime number?
1364 is composite with 12 total factors and the prime factorization 2^2 × 11 × 31.
What is the prime factorization of 1364?
It breaks down as 2^2 × 11 × 31, multiplying the primes 2 × 2 × 11 × 31.
How is 1364 represented in binary and hexadecimal?
1364 converts to 10101010100 in binary and 554 in hexadecimal, which are helpful for computer science applications.
Is 1364 a perfect square, cube, or triangular number?
1364 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1364?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.