246 (number) explained

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

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]

Notes and References

1. Untouchable numbers: impossible values for sum of aliquot parts of n.
2. Web site: Bounded gaps between primes. Polymath. 2013-07-21.
3. Number of rooted planar trees with n non-root nodes: circularly cycling the subtrees at the root gives equivalent trees.