8192 Explained

Number:	8192
Divisor:	1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192
Roman:	MMMCXCII, or CXCII

8192 is the natural number following 8191 and preceding 8193.

8192 is a power of two:

2 ^{13} (2 to the 13th power).

Because it is two times a sixth power (8192 = 2 × 4⁶), it is also a Bhaskara twin. That is, 8192 has the property that twice its square is a cube and twice its cube is a square.^[1]

In computing

• 8192 (2¹³) is the maximum number of fragments for IPv4 datagram.

Notes and References

1. A106318. Bhaskara twins: n such that 2*n^2=X^3 and 2*n^3=Y^2. .