226 (number)
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226 (two hundred ndtwenty-six) is the
natural number In mathematics, the natural numbers are the numbers 0, 1, 2, 3, and so on, possibly excluding 0. Some start counting with 0, defining the natural numbers as the non-negative integers , while others start with 1, defining them as the positive in ...
following 225 and preceding 227.


In mathematics

226 is a
happy number In number theory, a happy number is a number which eventually reaches 1 when the number is replaced by the sum of the square of each digit. For instance, 13 is a happy number because 1^2+3^2=10, and 1^2+0^2=1. On the other hand, 4 is not a happy ...
, and a
semiprime In mathematics, a semiprime is a natural number that is the product of exactly two prime numbers. The two primes in the product may equal each other, so the semiprimes include the squares of prime numbers. Because there are infinitely many prime n ...
( 2×
113 113 may refer to: *113 (number), a natural number *AD 113, a year *113 BC, a year *113 (band), a French hip hop group *113 (MBTA bus), Massachusetts Bay Transportation Authority bus route *113 (New Jersey bus), Ironbound Garage in Newark and run to ...
), and a member of Aronson's sequence. At most 226 different
permutation pattern In combinatorial mathematics and theoretical computer science, a (classical) permutation pattern is a sub-permutation of a longer permutation. Any permutation may be written in one-line notation as a sequence of entries representing the result of a ...
s can occur within a single 9-element
permutation In mathematics, a permutation of a set can mean one of two different things: * an arrangement of its members in a sequence or linear order, or * the act or process of changing the linear order of an ordered set. An example of the first mean ...
.


References

Integers {{Num-stub