By now you may know that instead of speculating or guessing, I like to look at real data, which for compounds like this are widely available. Here is some real solubility data. I've converted it all into the same units - hopefully no mistakes made.
n | n-Alkane | n-Alcohol |
1 | 7.06E5 | miscible |
2 | 2.32E5 | miscible |
3 | 5.83E4 | miscible |
4 | 1.47E4 | 7.3E7 |
5 | 3.85E4 | 2.2E7 |
6 | 9.50E3 | 6.23E6 |
7 | 2.93E3 | 1.80E6 |
8 | 660 | 8.385E5 |
9 | 171 | n/a |
10 | 46 | n/a |
11 | 9 | n/a |
12 | 1 | 4.285E4 |
13 | 0.4 | n/a |
14 | n/a | 300 |
15 | 0.04 | 102.6 |
16 | n/a | 41.2 |
References: Alkane, n = 1 to 8, McAuliffe, Journal of Physical Chemistry, 1966, 70, 1267; Science, 163, 1969, Alkane, n 8 to 15, Tolls, et al, Journal of Physical Chemistry A, 2002, 106, 2760. n-Alcohol, Bell et al, Chemistry and Physics of Lipids, 1973, 1-10. NOTE: For alkanes, n = 1 to 4, value is predicted based on experimental measurement and extrapolation to account for high vapor pressure. Solubility data for n-alkanes have been predicted for n values into the twenties, see Ferguson et al, Journal of PHysical Chemistry B, 2009, 113 (18), pp 6405–6414. In most cases, branched alkanes with the same carbon number have a higher solubility than linear isomers.
Now, seeing all that data, do you still have questions?