4407
4407 is a odd composite number that follows 4406 and precedes 4408. It is composed of 8 distinct factors: 1, 3, 13, 39, 113, 339, 1469, 4407. Its prime factorization can be written as 3 × 13 × 113. 4407 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4407 is represented as 1000100110111 in binary and 1137 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 13 × 113) reveals 3 prime building blocks.
Divisible by 2
4407 ends in 7, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 07 are not divisible by 4.
Divisible by 5
4407 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 15 is not a multiple of 9.
Divisible by 10
4407 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 4407 within several notable number theory sequences:
Timeline
Deep dive
How 4407 breaks down
4407 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 1977, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000100110111 supports bitwise reasoning, hexadecimal 1137 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4407 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4407 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4402–4412) to tune search ranges, and educators feature 4407 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 4407 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 4407
Is 4407 a prime number?
4407 is composite with 8 total factors and the prime factorization 3 × 13 × 113.
What is the prime factorization of 4407?
It breaks down as 3 × 13 × 113, multiplying the primes 3 × 13 × 113.
How is 4407 represented in binary and hexadecimal?
4407 converts to 1000100110111 in binary and 1137 in hexadecimal, which are helpful for computer science applications.
Is 4407 a perfect square, cube, or triangular number?
4407 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4407?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.