148 (number)

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← 147 148 149 →
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
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.

Contents

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

In the Book of Nehemiah 7:44 there are 148 singers, sons of Asaph, at the census of men of Israel upon return from exile. This differs from Ezra 2:41, where the number is given as 128. [5]

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, [6] but this is commonly rounded to 150.

See also

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References

  1. ↑ Sloane, N. J. A. (ed.). "SequenceA128919(Numbers simultaneously heptagonal and centered heptagonal)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. ↑ Sloane, N. J. A. (ed.). "SequenceA005282(Mian-Chowla sequence)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  3. ↑ Sloane, N. J. A. (ed.). "SequenceA052431(Number of perfect simple undirected graphs on n nodes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  4. ↑ Sloane, N. J. A. (ed.). "SequenceA006153(E.g.f.: 1/(1-x*exp(x)))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  5. ↑ Klein, Ralph Walter (January 1969). "Old Readings in 1 Esdras: The List of Returnees From Babylon (Ezra 2 // Nehemiah 7)". Harvard Theological Review. 62 (1): 99–107. doi:10.1017/s0017816000027644. S2CID   163153675.
  6. ↑ 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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