406
406 is a even composite number that follows 405 and precedes 407. It is composed of 8 distinct factors: 1, 2, 7, 14, 29, 58, 203, 406. Its prime factorization can be written as 2 × 7 × 29. 406 is classified as a deficient number based on the sum of its proper divisors. In computer science, 406 is represented as 110010110 in binary and 196 in hexadecimal. Historically, it is written as CDVI in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 7 × 29) reveals 3 prime building blocks.
Divisible by 2
406 ends in 6, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 06 are not divisible by 4.
Divisible by 5
406 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 10 is not a multiple of 9.
Divisible by 10
406 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 406 within several notable number theory sequences:
Timeline
Deep dive
How 406 breaks down
406 carries 8 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 314, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110010110 supports bitwise reasoning, hexadecimal 196 aligns with computing notation, and the Roman numeral CDVI keeps the encyclopedic tradition alive. These attributes make 406 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 406 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (401–411) to tune search ranges, and educators feature 406 in worksheets about factor trees. Its binary footprint of length 9 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 406 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 406
Is 406 a prime number?
406 is composite with 8 total factors and the prime factorization 2 × 7 × 29.
What is the prime factorization of 406?
It breaks down as 2 × 7 × 29, multiplying the primes 2 × 7 × 29.
How is 406 represented in binary and hexadecimal?
406 converts to 110010110 in binary and 196 in hexadecimal, which are helpful for computer science applications.
Is 406 a perfect square, cube, or triangular number?
406 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 406?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.