1728 (number)


Template:Numbers 1700-1800
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.

In mathematics

It is the cube of 12 and, as such, is important in the duodecimal number system. 1728 famously 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






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