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

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

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. ↑ 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.
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