162 (number)

← 161 162 163 →
Cardinalone hundred sixty-two
Ordinal162nd
(one hundred sixty-second)
Factorization2 × 34
Divisors1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Greek numeralΡΞΒ´
Roman numeralCLXII, clxii
Binary101000102
Ternary200003
Senary4306
Octal2428
Duodecimal11612
HexadecimalA216

162 (one hundred [and] sixty-two) is the natural number between 161 and 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.). "Sequence A003586 (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.). "Sequence A005101 (Abundant numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A007661 (Triple factorial numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A000296 (Set partitions without singletons)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.


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