1728 (number)
| ||||
|---|---|---|---|---|
| Cardinal | one thousand seven hundred twenty-eight | |||
| Ordinal |
1728th (one thousand seven hundred and twenty-eighth) | |||
| 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).
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. 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
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