Trisha Shetty (Editor)

1728 (number)

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← 1727
  
1728

Factorization
  
2× 3

1728
  
1729 →

Roman numeral
  
MDCCXXVIII

Cardinal
  
one thousand seven hundred twenty-eight

Ordinal
  
1728th (one thousand seven hundred and twenty-eighth)

1728 is the natural number following 1727 and preceding 1729. 1728 is a dozen gross, one great gross (or grand gross, or, in Germanic, Mass).

In mathematics

It is the cube of 12 and, as such, is important in the duodecimal number system. (1000 in base 12) It is the number of cubic inches in a cubic foot. 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. The number 1728 is one less than the Ramanujan number 1729.

  • 1728 = 123
  • 1728 = 33 × 43
  • 1728 = 23 × 63
  • 1728 = 63 + 83 + 103
  • 1728 = 242 + 242 + 242
  • 1728 = 2893 + 2873 + (-288)3 + (-288)3
  • References

    1728 (number) Wikipedia