162 (number)

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← 161 162 163 →
Cardinal one hundred sixty-two
Ordinal 162nd
(one hundred sixty-second)
Factorization 2 × 34
Divisors 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Greek numeral ΡΞΒ´
Roman numeral CLXII, clxii
Binary 101000102
Ternary 200003
Senary 4306
Octal 2428
Duodecimal 11612
Hexadecimal A216

162 (one hundred [and] sixty-two) is the natural number following 161 and preceding 163.

In mathematics

Having only 2 and 3 as its prime divisors, 162 is a 3-smooth number. [1] 162 is also an abundant number, since its sum of divisors is greater than it. [2] As the product of numbers three units apart from each other, it is a triple factorial number. [3]

There are 162 ways of partitioning seven items into subsets of at least two items per subset. [4] 16264 + 1 is a prime number.

References

  1. ↑ Sloane, N. J. A. (ed.). "SequenceA003586(3-smooth numbers: numbers of the form 2^i*3^j with i, j >= 0)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation..
  2. ↑ Sloane, N. J. A. (ed.). "SequenceA005101(Abundant numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  3. ↑ Sloane, N. J. A. (ed.). "SequenceA007661(Triple factorial numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  4. ↑ Sloane, N. J. A. (ed.). "SequenceA000296(Set partitions without singletons)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.


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