Some Interesting Properties of the Number 2016

We look at some interesting properties of the number . We mention in passing that the year
is a leap year.
- The number factors as
.
- From the factorisation a lot of interesting observations can be made. Such as
divides
. The previous number where the number formed by its last two digits divide it was
and the next such number would be
.
can be written as
. Thus, number of ways of choosing two different squares from a chessboard is
.
is also the sixty-third triangular number.
is divisible by all single digit positive integers other than
.
in binary base looks like
and hence,
is one less than a prime number and five more than another prime number.
For more interesting properties visit the On-Line Encyclopedia of Integer Sequences and search for 2016 to see lots of interesting sequences which contain 2016.
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