186 (number)

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185 186 187
Cardinal one hundred eighty-six
Ordinal 186th
(one hundred eighty-sixth)
Factorization 2 × 3 × 31
Divisors 1, 2, 3, 6, 31, 62, 93, 186
Greek numeral ΡΠϚ´
Roman numeral CLXXXVI, clxxxvi
Binary 101110102
Ternary 202203
Senary 5106
Octal 2728
Duodecimal 13612
Hexadecimal BA16

186 (one hundred [and] eighty-six) is the natural number following 185 and preceding 187.

Contents

In mathematics

There is no integer with exactly 186 coprimes less than it, so 186 is a nontotient. It is also never the difference between an integer and the total of coprimes below it, so it is a noncototient. [1]

There are 186 different pentahexes, shapes formed by gluing together five regular hexagons, when rotations of shapes are counted as distinct from each other. [2] [3]

186 is a Fine number. [4]

See also

References

  1. Sloane, N. J. A. (ed.). "SequenceA058763(Integers which are neither totient nor cototient)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. Sloane, N. J. A. (ed.). "SequenceA001207(Number of fixed hexagonal polyominoes with n cells)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  3. Lunnon, W. F. (1972). "Counting hexagonal and triangular polyominoes". In Read, Ronald C. (ed.). Graph Theory and Computing. Academic Press. pp. 87–100. doi:10.1016/B978-1-4832-3187-7.50013-1. ISBN   978-1-4832-3187-7. MR   0337670.
  4. Sloane, N. J. A. (ed.). "SequenceA000957". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-06-01.