7139
7139 is a odd composite number that follows 7138 and precedes 7140. It is composed of 6 distinct factors: 1, 11, 59, 121, 649, 7139. Its prime factorization can be written as 11^2 × 59. 7139 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7139 is represented as 1101111100011 in binary and 1BE3 in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (11^2 × 59) reveals 3 prime building blocks.
Divisible by 2
7139 ends in 9, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 39 are not divisible by 4.
Divisible by 5
7139 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 20 is not a multiple of 9.
Divisible by 10
7139 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 7139 within several notable number theory sequences:
Timeline
Deep dive
How 7139 breaks down
7139 carries 6 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 841, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101111100011 supports bitwise reasoning, hexadecimal 1BE3 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7139 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7139 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7134–7144) to tune search ranges, and educators feature 7139 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 7139 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 7139
Is 7139 a prime number?
7139 is composite with 6 total factors and the prime factorization 11^2 × 59.
What is the prime factorization of 7139?
It breaks down as 11^2 × 59, multiplying the primes 11 × 11 × 59.
How is 7139 represented in binary and hexadecimal?
7139 converts to 1101111100011 in binary and 1BE3 in hexadecimal, which are helpful for computer science applications.
Is 7139 a perfect square, cube, or triangular number?
7139 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7139?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.