148 (number)

← 147 148 149 →
Cardinalone hundred forty-eight
Ordinal148th
(one hundred forty-eighth)
Factorization22 × 37
Divisors1, 2, 4, 37, 74, 148
Greek numeralΡΜΗ´
Roman numeralCXLVIII, cxlviii
Binary100101002
Ternary121113
Senary4046
Octal2248
Duodecimal10412
Hexadecimal9416

148 (one hundred [and] forty-eight) is the natural number following 147 and before 149.

In mathematics

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

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

  1. ^ Sloane, N. J. A. (ed.). "Sequence A128919 (Numbers simultaneously heptagonal and centered heptagonal)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A005282 (Mian-Chowla sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ 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.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A006153 (E.g.f.: 1/(1-x*exp(x)))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ 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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