7406
7406 is a even composite number that follows 7405 and precedes 7407. It is composed of 12 distinct factors: 1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406. Its prime factorization can be written as 2 × 7 × 23^2. 7406 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7406 is represented as 1110011101110 in binary and 1CEE in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 7 × 23^2) reveals 4 prime building blocks.
Divisible by 2
7406 ends in 6, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 06 are not divisible by 4.
Divisible by 5
7406 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 17 is not a multiple of 9.
Divisible by 10
7406 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 7406 within several notable number theory sequences:
Timeline
Deep dive
How 7406 breaks down
7406 carries 12 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 5866, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110011101110 supports bitwise reasoning, hexadecimal 1CEE aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7406 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7406 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7401–7411) to tune search ranges, and educators feature 7406 in worksheets about factor trees. Its binary footprint of length 13 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 7406 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 7406
Is 7406 a prime number?
7406 is composite with 12 total factors and the prime factorization 2 × 7 × 23^2.
What is the prime factorization of 7406?
It breaks down as 2 × 7 × 23^2, multiplying the primes 2 × 7 × 23 × 23.
How is 7406 represented in binary and hexadecimal?
7406 converts to 1110011101110 in binary and 1CEE in hexadecimal, which are helpful for computer science applications.
Is 7406 a perfect square, cube, or triangular number?
7406 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7406?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.