74
74 is a even composite number that follows 73 and precedes 75. It is composed of 4 distinct factors: 1, 2, 37, 74. Its prime factorization can be written as 2 × 37. 74 is classified as a deficient number based on the sum of its proper divisors. In computer science, 74 is represented as 1001010 in binary and 4A in hexadecimal. Historically, it is written as LXXIV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 37) reveals 2 prime building blocks.
Divisible by 2
74 ends in 4, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 74 are not divisible by 4.
Divisible by 5
74 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 11 is not a multiple of 9.
Divisible by 10
74 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 74 within several notable number theory sequences:
Timeline
Deep dive
How 74 breaks down
74 carries 4 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 40, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001010 supports bitwise reasoning, hexadecimal 4A aligns with computing notation, and the Roman numeral LXXIV keeps the encyclopedic tradition alive. These attributes make 74 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 74 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (69–79) to tune search ranges, and educators feature 74 in worksheets about factor trees. Its binary footprint of length 7 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 74 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 74
Is 74 a prime number?
74 is composite with 4 total factors and the prime factorization 2 × 37.
What is the prime factorization of 74?
It breaks down as 2 × 37, multiplying the primes 2 × 37.
How is 74 represented in binary and hexadecimal?
74 converts to 1001010 in binary and 4A in hexadecimal, which are helpful for computer science applications.
Is 74 a perfect square, cube, or triangular number?
74 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 74?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.