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Concept
33 (number)
Summary
33 (thirty-three) is the natural number following 32 and preceding 34.
33 is:
specifically, the 8th distinct Semiprime, it being the 3rd of the form (3.q) where q is a higher prime.
the largest positive integer that cannot be expressed as a sum of different triangular numbers.
the smallest odd repdigit that is not a prime number.
the sum of the first four positive factorials.
the sum of the sum of the divisors of the first six positive integers.
the sum of three cubes:
equal to the sum of the squares of the digits of its own square in bases 9, 16 and 31.
For numbers greater than 1, this is a rare property to have in more than one base.
the smallest integer such that it and the next two integers all have the same number of divisors.
the first member of the first cluster of three semiprimes 33, 34, 35; the next such cluster is 85, 86, 87.
with an aliquot sum of 15; itself a semiprime, within an aliquot sequence of four members (33,15,9,4,3,1,0) )to the Prime in the 3-aliquot tree.
the first double digit centered dodecahedral number.
divisible by the number of prime numbers (11) below 33.
a palindrome in both decimal and binary.
The atomic number of arsenic.
33 is, according to the Newton scale, the temperature at which water boils.
A normal human spine has, on average, 33 vertebrae when the bones that form the coccyx are counted individually.
Messier object M33, a magnitude 7.0 galaxy in the constellation Triangulum, also known as the Triangulum Galaxy.
The New General Catalogue object NGC 33, a double star in the constellation Pisces
33 is the number of years that it takes for the Lunar phase to return to its original position in relation to the Solar calendar. A Lunar month (Synodic) contains 29.53 days. A twelve-month lunar year contains 354.36 days. A solar year (Tropical year) totals 365.24 days. The lunar year is therefore 10.88 days shorter than the 12-month solar year. As each year passes, the lunar month trails 10.88 days behind the solar year. On the turn of the 33rd year, the lunar month is approximately 359.
Official source
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