Vipul: Created page with "{{particular natural number}} ==Summary== ===Factorization=== The number 12 has prime factors 2 and 3 and prime factorization: $12 = 2^2 \cdot 3^1 = 4 \cdot 3..."$

2012-07-03T18:02:15Z

Created page with "{{particular natural number}} ==Summary== ===Factorization=== The number 12 has prime factors 2 and 3 and prime factorization: <math>12 = 2^2 \cdot 3^1 = 4 \cdot 3..."

New page

{{particular natural number}}

==Summary==

===Factorization===

The number 12 has prime factors [[2]] and [[3]] and prime factorization:

<math>12 = 2^2 \cdot 3^1 = 4 \cdot 3</math>

===Properties and families===

{| class="sortable" border="1"
! Property or family !! Parameter values !! First few members of the family !! Proof of satisfaction/membership/containment
|-
| [[satisfies property::lcm of all numbers so far]]: lcm of the first few natural numbers || lcm of the first four natural numbers || {{#lst:lcm of all numbers so far|list}} || <math>\operatorname{lcm} \{ 1,2,3,4 \} = 12</math>.
|-
| [[satisfies property::Landau's function]]: maximum over additive partitions of a number of the lcm of the parts || Landau's function evaluated at 7 || {{#lst:Landau's function|list}} ||
|}

12 - Revision history

Vipul: Created page with "{{particular natural number}} ==Summary== ===Factorization=== The number 12 has prime factors 2 and 3 and prime factorization: 12 = 2^2 \cdot 3^1 = 4 \cdot 3..."

Vipul: Created page with "{{particular natural number}} ==Summary== ===Factorization=== The number 12 has prime factors 2 and 3 and prime factorization: $12 = 2^2 \cdot 3^1 = 4 \cdot 3..."$