1378
1378 is a even composite number that follows 1377 and precedes 1379. It is composed of 8 distinct factors: 1, 2, 13, 26, 53, 106, 689, 1378. Its prime factorization can be written as 2 × 13 × 53. 1378 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1378 is represented as 10101100010 in binary and 562 in hexadecimal. Historically, it is written as MCCCLXXVIII in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 13 × 53) reveals 3 prime building blocks.
Divisible by 2
1378 ends in 8, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 78 are not divisible by 4.
Divisible by 5
1378 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 19 is not a multiple of 9.
Divisible by 10
1378 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 1378 within several notable number theory sequences:
Timeline
Deep dive
How 1378 breaks down
1378 carries 8 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 890, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10101100010 supports bitwise reasoning, hexadecimal 562 aligns with computing notation, and the Roman numeral MCCCLXXVIII keeps the encyclopedic tradition alive. These attributes make 1378 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1378 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1373–1383) to tune search ranges, and educators feature 1378 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, Triangular numbers) help historians, numerologists, and trivia writers tie 1378 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 1378
Is 1378 a prime number?
1378 is composite with 8 total factors and the prime factorization 2 × 13 × 53.
What is the prime factorization of 1378?
It breaks down as 2 × 13 × 53, multiplying the primes 2 × 13 × 53.
How is 1378 represented in binary and hexadecimal?
1378 converts to 10101100010 in binary and 562 in hexadecimal, which are helpful for computer science applications.
Is 1378 a perfect square, cube, or triangular number?
1378 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 1378?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.