Content deleted Content added
m table syntax updated |
→top: rm per WP:NUM/NOT Tags: Mobile edit Mobile app edit Android app edit App full source |
||
(106 intermediate revisions by 75 users not shown) | |||
Line 1:
{{Infobox number
| number = 162
| divisor=1, 2, 3, 6, 9, 18, 27, 54, 81, 162
'''162'''
== In mathematics ==
Having only 2 and 3 as its prime divisors, 162 is a [[smooth number|3-smooth number]].<ref>{{Cite OEIS|A003586|name=3-smooth numbers: numbers of the form 2^i*3^j with i, j >= 0}}.</ref> 162 is also an [[abundant number]], since its sum of divisors <math>1+2+3+6+9+18+27+54+81 = 201</math> is greater than it.<ref>{{Cite OEIS|A005101|Abundant numbers}}</ref> As the product <math>3\times 6\times 9=162</math> of numbers three units apart from each other, it is a triple factorial number.<ref>{{Cite OEIS|A007661|Triple factorial numbers}}</ref>
▲|}
There are 162 ways of partitioning seven items into subsets of at least two items per subset.<ref>{{Cite OEIS|A000296|Set partitions without singletons}}</ref> [[oeis:A006316|162<sup>64</sup> + 1 is a prime number]].
▲'''162''' is an [[even]] [[natural number]] between [[161 (number)|161]] and [[163 (number)|163]].
==References==
{{reflist|30em}}
{{Integers|1}}
{{DEFAULTSORT:162 (Number)}}
[[Category:Integers]]
{{num-stub}}▼
|