55007
55007 is a odd composite number that follows 55006 and precedes 55008. It is composed of 4 distinct factors: 1, 67, 821, 55007. Its prime factorization can be written as 67 × 821. 55007 is classified as a deficient number based on the sum of its proper divisors. In computer science, 55007 is represented as 1101011011011111 in binary and D6DF in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (67 × 821) reveals 2 prime building blocks.
Divisible by 2
55007 ends in 7, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 07 are not divisible by 4.
Divisible by 5
55007 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
55007 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 55007 within several notable number theory sequences:
Timeline
Deep dive
How 55007 breaks down
55007 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 889, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101011011011111 supports bitwise reasoning, hexadecimal D6DF aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55007 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55007 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55002–55012) to tune search ranges, and educators feature 55007 in worksheets about factor trees. Its binary footprint of length 16 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 55007 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 55007
Is 55007 a prime number?
55007 is composite with 4 total factors and the prime factorization 67 × 821.
What is the prime factorization of 55007?
It breaks down as 67 × 821, multiplying the primes 67 × 821.
How is 55007 represented in binary and hexadecimal?
55007 converts to 1101011011011111 in binary and D6DF in hexadecimal, which are helpful for computer science applications.
Is 55007 a perfect square, cube, or triangular number?
55007 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55007?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.