8192

← 8191 8192 8193 →
List of numbers; Integers; ← 0 1k 2k 3k 4k 5k 6k 7k 8k 9k →
Cardinal	eight thousand one hundred ninety-two
Ordinal	8192nd; (eight thousand one hundred ninety-second)
Factorization	213
Divisors	1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192
Greek numeral	,ΗΡϞΒ´
Roman numeral	VMMMCXCII, or VIIICXCII
Binary	100000000000002
Ternary	1020201023
Senary	1015326
Octal	200008
Duodecimal	48A812
Hexadecimal	200016

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.

References

^ Sloane, N. J. A. (ed.). "Sequence A106318 (Bhaskara twins: n such that 2*n^2=X^3 and 2*n^3=Y^2)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation..

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[1] Sloane, N. J. A. (ed.). "Sequence A106318 (Bhaskara twins: n such that 2*n^2=X^3 and 2*n^3=Y^2)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation..

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