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1728 has twenty-eight divisors, which is a perfect count (as with 12, with six divisors). It also has a Euler totient of 576 or 24 2, which divides 1728 thrice over. [10] 1728 is an abundant and semiperfect number, as it is smaller than the sum of its proper divisors yet equal to the sum of a subset of its proper divisors. [11] [12]
Note that the modern convention is to use Arabic numerals in citations (thus "41 Geo. 3" rather than "41 Geo. III"). Acts of the last session of the Parliament of Great Britain and the first session of the Parliament of the United Kingdom are both cited as "41 Geo. 3".
The Perjury Act 1728 (2 Geo. 2. c. 25) was an Act of the Parliament of Great Britain. So much of this Act as related to the stealing or taking by robbery any orders or other securities therein enumerated was repealed by section 1 of the Criminal Statutes Repeal Act 1827. (The marginal note says that the effect of this was to repeal section 3 of ...
In number theory, Euler's conjecture is a disproved conjecture related to Fermat's Last Theorem.It was proposed by Leonhard Euler in 1769. It states that for all integers n and k greater than 1, if the sum of n many k th powers of positive integers is itself a k th power, then n is greater than or equal to k:
1728 was a leap year starting on Thursday of the Gregorian calendar and a leap year starting on Monday of the Julian calendar, the 1728th year of the Common Era (CE) and Anno Domini (AD) designations, the 728th year of the 2nd millennium, the 28th year of the 18th century, and the 9th year of the 1720s decade. As of the start of 1728, the ...
It has as factors 1, 7, 13, 19, 91, 133, 247, and 1729. [2] It is the third Carmichael number, [3] and the first Chernick–Carmichael number. [a] Furthermore, it is the first in the family of absolute Euler pseudoprimes, a subset of Carmichael numbers. [7] 1729 is divisible by 19, the sum of its digits, making it a harshad number in base 10. [8]
29 January – The first performance of John Gay's The Beggar's Opera at the Lincoln's Inn Fields Theatre. [2] A major success it leads to a theatre boom and is followed by a number of other ballad operas imitating its style. March – Spain ends its siege of Gibraltar. [3]
The Beggar's Opera [1] is a ballad opera in three acts written in 1728 by John Gay with music arranged by Johann Christoph Pepusch.It is one of the watershed plays in Augustan drama and is the only example of the once thriving genre of satirical ballad opera to remain popular today.