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246 (number)

246 (two hundred [and] forty-six) is the natural number following 245 and preceding 247.

Additionally, 246 is:

  • an untouchable number.
  • palindromic in bases 5 (1441<sub>5</sub>), 9 (303<sub>9</sub>), 40 (66<sub>40</sub>), 81 (33<sub>81</sub>), 122 (22<sub>122</sub>) and 245 (11<sub>245</sub>).
  • a Harshad number in bases 2, 3, 6, 7, 9, 11 (and 15 other bases).
  • the smallest number N for which it is known that there is an infinite number of prime gaps no larger than N.

Also:

  • The aliquot sequence starting at 246 is: 246, 258, 270, 450, 759, 393, 135, 105, 87, 33, 15, 9, 4, 3, 1, 0.
  • There are exactly 246 different rooted plane trees with eight nodes, and 246 different necklaces with seven black and seven white beads.

References