139
139 is a odd prime number that follows 138 and precedes 140. As a prime number, 139 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 139. 139 is classified as a deficient number based on the sum of its proper divisors. In computer science, 139 is represented as 10001011 in binary and 8B in hexadecimal. Historically, it is written as CXXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
139 is prime, so its only factors are 1 and 139.
Divisible by 2
139 ends in 9, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 39 are not divisible by 4.
Divisible by 5
139 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 13 is not a multiple of 9.
Divisible by 10
139 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 139 within several notable number theory sequences:
Timeline
Deep dive
How 139 breaks down
139 carries 2 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001011 supports bitwise reasoning, hexadecimal 8B aligns with computing notation, and the Roman numeral CXXXIX keeps the encyclopedic tradition alive. These attributes make 139 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 139 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (134–144) to tune search ranges, and educators feature 139 in worksheets about prime identification. Its binary footprint of length 8 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 139 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 139
Is 139 a prime number?
139 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 139?
139 is already prime, so the factorization is simply 139.
How is 139 represented in binary and hexadecimal?
139 converts to 10001011 in binary and 8B in hexadecimal, which are helpful for computer science applications.
Is 139 a perfect square, cube, or triangular number?
139 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 139?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.