73
73 is a odd prime number that follows 72 and precedes 74. As a prime number, 73 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 73. 73 is classified as a deficient number based on the sum of its proper divisors. In computer science, 73 is represented as 1001001 in binary and 49 in hexadecimal. Historically, it is written as LXXIII in Roman numerals.
Factor Analysis
2 FactorsProperties
73 is prime, so its only factors are 1 and 73.
Divisible by 2
73 ends in 3, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
73 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 10 is not a multiple of 9.
Divisible by 10
73 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 73 within several notable number theory sequences:
Timeline
Deep dive
How 73 breaks down
73 carries 2 distinct factors and a digit signature of 10 (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 1001001 supports bitwise reasoning, hexadecimal 49 aligns with computing notation, and the Roman numeral LXXIII keeps the encyclopedic tradition alive. These attributes make 73 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 73 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (68–78) to tune search ranges, and educators feature 73 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 73 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 73
Is 73 a prime number?
73 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 73?
73 is already prime, so the factorization is simply 73.
How is 73 represented in binary and hexadecimal?
73 converts to 1001001 in binary and 49 in hexadecimal, which are helpful for computer science applications.
Is 73 a perfect square, cube, or triangular number?
73 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 73?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.