246 (number)

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

← 245 246 247 →
Cardinaltwo hundred forty-six
Ordinal246th
(two hundred forty-sixth)
Factorization2 × 3 × 41
Greek numeralΣΜϚ´
Roman numeralCCXLVI
Binary111101102
Ternary1000103
Quaternary33124
Quinary14415
Senary10506
Octal3668
Duodecimal18612
HexadecimalF616
VigesimalC620
Base 366U36

In mathematics[edit]

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]

In other fields[edit]

References[edit]

  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. ^ "Bounded gaps between primes". Polymath. Retrieved 2013-07-21.
  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.