10738
10738 is a even composite number that follows 10737 and precedes 10739. It is composed of 16 distinct factors: 1, 2, 7, 13, 14, 26, 59, 91, 118, 182, 413, 767, 826, 1534, 5369, 10738. Its prime factorization can be written as 2 × 7 × 13 × 59. 10738 is classified as a deficient number based on the sum of its proper divisors. In computer science, 10738 is represented as 10100111110010 in binary and 29F2 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 7 × 13 × 59) reveals 4 prime building blocks.
Divisible by 2
10738 ends in 8, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 38 are not divisible by 4.
Divisible by 5
10738 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
10738 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 10738 within several notable number theory sequences:
Timeline
Deep dive
How 10738 breaks down
10738 carries 16 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 9422, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10100111110010 supports bitwise reasoning, hexadecimal 29F2 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 10738 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 10738 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (10733–10743) to tune search ranges, and educators feature 10738 in worksheets about factor trees. Its binary footprint of length 14 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 10738 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 10738
Is 10738 a prime number?
10738 is composite with 16 total factors and the prime factorization 2 × 7 × 13 × 59.
What is the prime factorization of 10738?
It breaks down as 2 × 7 × 13 × 59, multiplying the primes 2 × 7 × 13 × 59.
How is 10738 represented in binary and hexadecimal?
10738 converts to 10100111110010 in binary and 29F2 in hexadecimal, which are helpful for computer science applications.
Is 10738 a perfect square, cube, or triangular number?
10738 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 10738?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.