1728 (number)
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(Redirected from Great gross)
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|---|---|---|---|---|
| Cardinal | one thousand seven hundred twenty-eight | |||
| Ordinal | 1728th (one thousand seven hundred and twenty-eighth) |
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| Factorization | 26× 33 | |||
| Roman numeral | MDCCXXVIII | |||
| Binary | 110110000002 | |||
| Ternary | 21010003 | |||
| Quaternary | 1230004 | |||
| Quinary | 234035 | |||
| Senary | 120006 | |||
| Octal | 33008 | |||
| Duodecimal | 100012 | |||
| Hexadecimal | 6C016 | |||
| Vigesimal | 46820 | |||
| Base 36 | 1C036 | |||
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[citation needed]).
In mathematics
It is the cube of 12 and, as such, is important in the duodecimal number system. 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.[citation needed] 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
