76
76 is a even composite number that follows 75 and precedes 77. It is composed of 6 distinct factors: 1, 2, 4, 19, 38, 76. Its prime factorization can be written as 2^2 × 19. 76 is classified as a deficient number based on the sum of its proper divisors. In computer science, 76 is represented as 1001100 in binary and 4C in hexadecimal. Historically, it is written as LXXVI in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 19) reveals 3 prime building blocks.
Divisible by 2
76 ends in 6, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 76 form a multiple of 4.
Divisible by 5
76 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
76 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 76 within several notable number theory sequences:
Timeline
Deep dive
How 76 breaks down
76 carries 6 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 64, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001100 supports bitwise reasoning, hexadecimal 4C aligns with computing notation, and the Roman numeral LXXVI keeps the encyclopedic tradition alive. These attributes make 76 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 76 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (71–81) to tune search ranges, and educators feature 76 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 76 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 76
Is 76 a prime number?
76 is composite with 6 total factors and the prime factorization 2^2 × 19.
What is the prime factorization of 76?
It breaks down as 2^2 × 19, multiplying the primes 2 × 2 × 19.
How is 76 represented in binary and hexadecimal?
76 converts to 1001100 in binary and 4C in hexadecimal, which are helpful for computer science applications.
Is 76 a perfect square, cube, or triangular number?
76 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 76?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.