246_(number)

246 (number)

246 (number)

Natural number

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

Quick Facts ← 245 246 247 →, Cardinal ...

Additionally, 246 is:

  • an untouchable number.[1]
  • palindromic in bases 5 (14415), 9 (3039), 40 (6640), 81 (3381), 122 (22122) and 245 (11245).
  • 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.[2]

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.[3]

References

  1. [1]
    Sloane, N. J. A. (ed.). "Sequence A005114 (Untouchable numbers: impossible values for sum of aliquot parts of n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. [2]
    "Bounded gaps between primes". Polymath. Retrieved 2013-07-21.
  3. [3]
    Sloane, N. J. A. (ed.). "Sequence A003239 (Number of rooted planar trees with n non-root nodes: circularly cycling the subtrees at the root gives equivalent trees)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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