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Cardinal One thousand,
seven hundred [and]
twenty-eight
Ordinal 1728th
Factorization  2^6 \cdot 3^3
Roman numeral MDCCXXVIII
Binary 11011000000
Octal 3300
Duodecimal 1000
Hexadecimal 6C0

1728 is the natural number following 1727 and preceding 1729. 1728 is a dozen gross, or one great gross.

[edit] In mathematics

It is the cube of 12 and, as such, is important in the duodecimal number system. 1728 occurs in the algebraic formula for the j-invariant of an elliptic curve. As a consequence, it is sometimes called a Zagier as a pun on the Gross–Zagier theorem.

  • 1728 = 123
  • 1728 = 33 × 43
  • 1728 = 23 × 63
  • 1728 = 63 + 83 + 103
  • 1728 = 242 + 242 + 242
17 = 2 + 3 + 5 + 7
28 = 2 + 3 + 5 + 7 + 11

An alternate name for a "great gross" or "grand gross" is the Germanic word Maß[1] (Pronounced "mass").

[edit] Notes

  1. ^ http://de.wikipedia.org/wiki/Ma%C3%9F_(Mengenangabe)



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