227 (number)

227 (two hundred [and] twenty-seven) is the natural number between 226 and 228. It is also a prime number.

In mathematics
227 is the 49th prime number, an index whose value is a square number (72). It is a twin prime, and the start of a prime triplet (with 229 and 233).

It is a safe prime, as dividing it by two and rounding down produces the Sophie Germain prime, 113. It is also:

227 and 229 form the first twin prime pair for which neither is a cluster prime.

The 227th harmonic number is the first to exceed 6.

There are 227 different connected graphs with eight edges, and 227 independent sets in a 3 × 4 grid graph.

Convergents to $π$
227 is the difference between 333 and 106, which are respectively the numerator and denominator in the fourth convergent to pi, correct to four decimal places:
 * $$\pi \approx \frac{333}{106} \approx 3.1415{\color{red} 0} \ldots$$

Meanwhile, the sum of the first few denominators in convergents to pi (1, 7, 106, 113) yields 227.