graphviz of 4-coloring integers of the form 2^x3^y when (a,2a,3a,4a) are all connected by edges

integers.dot

graph G {
  # 0=red, 1=green, 2=blue, 3=gray
  graph [nodesep="0.1", ranksep="0.1", pad="0.5"]
  node [style=filled, fillcolor=white, shape=circle, width=0.4]
  1 [fillcolor=red]
  2 [fillcolor=green]
  3 [fillcolor=gray]
  4 [fillcolor=blue, fontcolor=white]
  6 [fillcolor=red]
  8 [fillcolor=gray]
  9 [fillcolor=blue, fontcolor=white]
  # (2,1)
  12 [fillcolor=green]
  # (4,0)
  16 [fillcolor=red]
  # (1,2)
  18 [fillcolor=gray]
  # (3,1)
  24 [fillcolor=blue, fontcolor=white]
  # (0,3)
  27 [fillcolor=green]
  # (5,0)
  32 [fillcolor=green]
  # (2,2)
  36 [fillcolor=red]
  # (4,1)
  48 [fillcolor=gray]
  # (1,3)
  54 [fillcolor=blue, fontcolor=white]
  # (6,0)
  64 [fillcolor=blue, fontcolor=white]
  # (3,2)
  72 [fillcolor=green]
  
  1 -- 2
  1 -- 3
  1 -- 4
  2 -- 3
  2 -- 4
  3 -- 4
  
  # 2 -- 4
  2 -- 6
  2 -- 8
  4 -- 6
  4 -- 8
  6 -- 8
  
  3 -- 6
  3 -- 9
  3 -- 12
  6 -- 9
  6 -- 12
  9 -- 12
  
  #4 -- 8
  4 -- 12
  4 -- 16
  8 -- 12
  8 -- 16
  12 -- 16
  
  #6 -- 12
  6 -- 18
  6 -- 24
  12 -- 18
  12 -- 24
  18 -- 24
  
  # 8 -- 16
  8 -- 24
  8 -- 32
  16 -- 24
  16 -- 32
  24 -- 32
  
  9 -- 18
  9 -- 27
  9 -- 36
  18 -- 27
  18 -- 36
  27 -- 36
  
  #12 -- 24
  12 -- 36
  12 -- 48
  24 -- 36
  24 -- 48
  36 -- 48
  
  #16 -- 32
  16 -- 48
  16 -- 64
  32 -- 48
  32 -- 64
  48 -- 64
  
  #18 -- 36
  18 -- 54
  18 -- 72
  36 -- 54
  36 -- 72
  54 -- 72
  
  #24 -- 48
  24 -- 72
  #24 -- 96
  48 -- 72
  
  27 -- 54
}