9855
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|---|---|---|---|---|
| Cardinal | nine thousand eight hundred fifty-five | |||
| Ordinal | 9855th (nine thousand eight hundred fifty-fifth) | |||
| Factorization | 33 × 5 × 73 | |||
| Divisors | 1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855 | |||
| Greek numeral | ,ΘΩΝΕ´ | |||
| Roman numeral | IXDCCCLV, ixdccclv | |||
| Binary | 100110011111112 | |||
| Ternary | 1111120003 | |||
| Senary | 1133436 | |||
| Octal | 231778 | |||
| Duodecimal | 585312 | |||
| Hexadecimal | 267F16 | |||
9855 (nine thousand eight hundred fifty-five) is the natural number following 9854 and preceding 9856.
In mathematics
It is the sum of all the numbers in any given row, column, or diagonal of the 27 × 27 magic square,[1][2] as shown in the following calculation:
The 27 × 27 magic square contains 1 to 729, with 365 in the center.[2]
9855 is also the number of days in 27 years; C.A. Brown hypothesized in a 1906 edition of The Monist that this number could have held a significance for Ancient Greeks as the "dividing line between the ages when men and women should begin to bear children to the State, 20-27 years for women, 27-34 years for men"[2]
References
- ^ Square, The Magic. "The Magic Square Info". The Magic Square Info. Retrieved 2023-07-08.
- ^ a b c Browne, C. A. (1906). "Magic Squares and Pythagorean Numbers". The Monist. 16 (3): 422–433. doi:10.5840/monist190616319. ISSN 0026-9662. JSTOR 27899667.
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