1406
1406 is a even composite number that follows 1405 and precedes 1407. It is composed of 8 distinct factors: 1, 2, 19, 37, 38, 74, 703, 1406. Its prime factorization can be written as 2 × 19 × 37. 1406 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1406 is represented as 10101111110 in binary and 57E in hexadecimal. Historically, it is written as MCDVI in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 19 × 37) reveals 3 prime building blocks.
Divisible by 2
1406 ends in 6, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 06 are not divisible by 4.
Divisible by 5
1406 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 11 is not a multiple of 9.
Divisible by 10
1406 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Deficient classification and digit analytics place 1406 within several notable number theory sequences:
Timeline
Deep dive
How 1406 breaks down
1406 carries 8 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 874, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10101111110 supports bitwise reasoning, hexadecimal 57E aligns with computing notation, and the Roman numeral MCDVI keeps the encyclopedic tradition alive. These attributes make 1406 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1406 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1401–1411) to tune search ranges, and educators feature 1406 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 1406 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 1406
Is 1406 a prime number?
1406 is composite with 8 total factors and the prime factorization 2 × 19 × 37.
What is the prime factorization of 1406?
It breaks down as 2 × 19 × 37, multiplying the primes 2 × 19 × 37.
How is 1406 represented in binary and hexadecimal?
1406 converts to 10101111110 in binary and 57E in hexadecimal, which are helpful for computer science applications.
Is 1406 a perfect square, cube, or triangular number?
1406 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1406?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.