148 (number)
| ||||
|---|---|---|---|---|
| Cardinal | one hundred forty-eight | |||
| Ordinal | 148th (one hundred forty-eighth) | |||
| Factorization | 22 × 37 | |||
| Divisors | 1, 2, 4, 37, 74, 148 | |||
| Greek numeral | ΡΜΗ´ | |||
| Roman numeral | CXLVIII, cxlviii | |||
| Binary | 100101002 | |||
| Ternary | 121113 | |||
| Senary | 4046 | |||
| Octal | 2248 | |||
| Duodecimal | 10412 | |||
| Hexadecimal | 9416 | |||
148 (one hundred [and] forty-eight) is the natural number following 147 and before 149.
In mathematics
[edit]148 is the second number to be both a heptagonal number and a centered heptagonal number (the first is 1).[1] It is the twelfth member of the Mian–Chowla sequence, the lexicographically smallest sequence of distinct positive integers with distinct pairwise sums.[2]
There are 148 perfect graphs with six vertices,[3] and 148 ways of partitioning four people into subsets, ordering the subsets, and selecting a leader for each subset.[4]
In other fields
[edit]Dunbar's number is a theoretical cognitive limit to the number of people with whom one can maintain stable interpersonal relationships. Dunbar predicted a "mean group size" of 148,[5] but this is commonly rounded to 150.
References
[edit]- ^ Sloane, N. J. A. (ed.). "Sequence A128919 (Numbers simultaneously heptagonal and centered heptagonal)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A005282 (Mian-Chowla sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A052431 (Number of perfect simple undirected graphs on n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A006153 (E.g.f.: 1/(1-x*exp(x)))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Dunbar, R. I. M. (1997). "Groups, Gossip, and the Evolution of Language". In Schmitt, Alain; Atzwanger, Klaus; Grammer, Karl; Schäfer, Katrin (eds.). New Aspects of Human Ethology. Kluwer Academic Publishers. pp. 77–89. doi:10.1007/978-0-585-34289-4_5. ISBN 978-0-306-45695-4.
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