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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".
13 May – 3 men and 8 boys from Hirta are retrieved from Stac an Armin where they have been accidentally marooned for about 9 months, the longest recorded period anyone has spent on the sea stack. 31 May – The Royal Bank of Scotland extends the first overdraft (to Edinburgh merchant William Hogg for £1,000). [1] Iron smelting at Invergarry ...
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 ...
Some implementations manipulate the exponent bits of the floating-point number; i.e. they arrive at an initial approximation by dividing the exponent by 3. [1] Also useful is this generalized continued fraction, based on the nth root method: If x is a good first approximation to the cube root of a and =, then:
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:
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.
Peter III Fyodorovich (Russian: Пётр III Фёдорович, romanized: Pyotr III Fyodorovich; 21 February [O.S. 10 February] 1728 – 17 July [O.S. 6 July] 1762) was Emperor of Russia from 5 January 1762 until 9 July of the same year, when he was overthrown by his wife, Catherine II (the Great).