Introduction:
The number 75 is a composite number known for its resilience and uniqueness. It takes its place amongst one of the most fascinating numbers in mathematics, holding a history of interesting facts, properties, and associations. This article takes us through a journey of stunning facts about the number 75, from ancient history to modern technology. From its symbolical significances to its numerous applications, here are 15 interesting facts about the number 75.
Fact 1: 75 is a Semi-Prime Number
The number 75 is a semi-prime number, also known as a half-product, being the product of two distinct primes. It is the product of 3 * 5. It is an interesting fact to note that products of two primes are semi-prime numbers, and the pair of numbers resulting to 75 are a rather distinct pair in that 3, 5 is considered the smallest semi-prime.
Fact 2: 75 is a Babylonian Numerical Number
75 was in use during ancient Babylonia, and was known as the Babylonian numerical number yM. The number was applicable in monetary and contractual transactions. If one borrowed seventy five sila of barley, they had to return exactly seventy-five sila of barley, no more, no less.
Fact 3: 75 is a Factor of the 12th Cyclotomic Polynomial
The 12th cyclotomic polynomial is x^4 + x^3 + x^2 + x + 1, with 75 being the only factor common between them. The 12th cyclotomic polynomial is the 4th roots of unity, and is associated with algebraic solutions to several problems.
Fact 4: Hebrew Alphabet Numerology
The Hebrew numerical value for the letter Nun is 50, and the Hebrew numerical value of the letter Hey is 5. When the two are combined, Nun-Hey, the numerical value is 55. 55 is the numerical value of the Hebrew word emtzah which translates to “laughter.” When the digits are added, 55 becomes the numeric value of 75.
Fact 5: The Golden Ratio and Phi
75, being the product of two primes 5 and 3, plays an integral role in the golden ratio, also known as the golden section (π). The golden ratio is 1.618 and is used to describe the proportion of the two parts of successful works of art, architecture and design. 75 is also the numerical value of the Greek letter phi (Φ), another term used for the golden ratio.
Fact 6: 75 is a Rough Mass Number
with a mass number of approximately 75 atomic mass units, 75 is a rough mass number. This mass number is used to refer to Chlorine-37 which is a stable isotope of Chlorine. Each atom of Chlorine has 17 Protons, 17 neutrons and 17 electrons, with a nucleus of 17 protons and 17 neutrons.
Fact 7: 75 is the Numerical Value for the Word Shiloh
The numerical value of the Biblical word Shiloh is 75. Shiloh is known as the Messiah of the House of Israel according to the later chapters of the prophets. In the Jewish calendar, the year 5757 corresponds to the year 1797 which is a numerical reference to Shiloh and the advent of Moshiach.
Fact 8: 75 Stars in the Chinese Flag
The flag of the Republic of China, commonly known as the Chinese Flag, features 75 stars. The 75 stars symbolize the unity of the Chinese people, and are connected to the Red Star, representing the communist element in the flag.
Fact 9: The First Search Engine Was Around 75 Lines of Code
The first effective search engine, Archie, was developed in 1990 and ran on a small mainframe computer, capable of indexing just 75 lines of code. The search engine worked by downloading the entire collection of files from the System FTP archives and then indexing these archives with a line-oriented scanner, allowing users to search for specific files through keywords.
Fact 10: 75 is the Cryptographic Power of RSA Algorithm
RSA encryption is widely used in secure communication, and is based around a large integer – typically 75 digits or more. It is an asymmetric key encryption algorithm, in which a public key is used to encrypt a message, and a private key is used to decrypt it.
Fact 11: The Voice Range for a Tenor is F2 to F4
In music, the range of a tenor is from F2 (87 hertz) to F4 (349 hertz), which adds up to a total of 75 tones. The range of a tenor and other vocal ranges are determined by the frequency of notes produced by singers.
Fact 12: 75 is a Common Tail Number
In the aircraft industry, tail numbers are assigned to each aircraft, and 75 is a common tail number. Tail numbers, also known as registration numbers, identify aircraft and are made up of several parts, including country codes and the registration number.
Fact 13: The Temperature of Boiling Water is 75°C
At sea level, the boiling point of water is 75°C. Between 0 and 750 altitude, the boiling point of water drops each metre in proportion to the atmospheric pressure. Beyond 7500 metres, the boiling point of water stays constant at 50°C.
Fact 14: 75 is the ASCII Code for the Symbol ”PAGE BREAK”
75 is the ASCII code (American Standard Code for Information Interchange) for the symbol “page break,” which is a control character used to create a break between two pages in documents. The control character works by delimiting the two pages, allowing them to display differently when opened in different programs or applications.
Fact 15: Computation of Compound Interest is 74. yakima
Compound interest has a number of applications, with the main one being the calculation of financial gain over an extended duration of time. The equation used to calculate the compound interest can be written down as i = P (1+r t )^n, with 75 being substituted for n in the equation.
Conclusion
The number 75 holds a lot of fascinating facts and properties, from its unique nature as a semi-prime number to its application in ancient Babylonian civilization. From its role in the golden ratio to its use as an identification code for aircrafts, the number 75 is quite remarkable. This article covered 15 interesting facts about the number 75, giving us a glimpse of its historical perspective and its applications in modern times.
Subscribe to our email newsletter to get the latest posts delivered right to your email.
Comments