1337
1337 is a odd composite number that follows 1336 and precedes 1338. It is composed of 4 distinct factors: 1, 7, 191, 1337. Its prime factorization can be written as 7 × 191. 1337 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1337 is represented as 10100111001 in binary and 539 in hexadecimal. Historically, it is written as MCCCXXXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (7 × 191) reveals 2 prime building blocks.
Divisible by 2
1337 ends in 7, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 37 are not divisible by 4.
Divisible by 5
1337 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
1337 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 1337 within several notable number theory sequences:
Timeline
Deep dive
How 1337 breaks down
1337 carries 4 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 199, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10100111001 supports bitwise reasoning, hexadecimal 539 aligns with computing notation, and the Roman numeral MCCCXXXVII keeps the encyclopedic tradition alive. These attributes make 1337 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1337 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1332–1342) to tune search ranges, and educators feature 1337 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 1337 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 1337
Is 1337 a prime number?
1337 is composite with 4 total factors and the prime factorization 7 × 191.
What is the prime factorization of 1337?
It breaks down as 7 × 191, multiplying the primes 7 × 191.
How is 1337 represented in binary and hexadecimal?
1337 converts to 10100111001 in binary and 539 in hexadecimal, which are helpful for computer science applications.
Is 1337 a perfect square, cube, or triangular number?
1337 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1337?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.