739
739 is a odd prime number that follows 738 and precedes 740. As a prime number, 739 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 739. 739 is classified as a deficient number based on the sum of its proper divisors. In computer science, 739 is represented as 1011100011 in binary and 2E3 in hexadecimal. Historically, it is written as DCCXXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
739 is prime, so its only factors are 1 and 739.
Divisible by 2
739 ends in 9, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 39 are not divisible by 4.
Divisible by 5
739 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 19 is not a multiple of 9.
Divisible by 10
739 does not end in 0.
Divisible by 11
The alternating digit sum 13 is not a multiple of 11.
Deficient classification and digit analytics place 739 within several notable number theory sequences:
Timeline
Deep dive
How 739 breaks down
739 carries 2 distinct factors and a digit signature of 19 (1 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 1011100011 supports bitwise reasoning, hexadecimal 2E3 aligns with computing notation, and the Roman numeral DCCXXXIX keeps the encyclopedic tradition alive. These attributes make 739 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 739 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (734–744) to tune search ranges, and educators feature 739 in worksheets about prime identification. Its binary footprint of length 10 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 739 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 739
Is 739 a prime number?
739 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 739?
739 is already prime, so the factorization is simply 739.
How is 739 represented in binary and hexadecimal?
739 converts to 1011100011 in binary and 2E3 in hexadecimal, which are helpful for computer science applications.
Is 739 a perfect square, cube, or triangular number?
739 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 739?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.