246 (number)

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

← 245 246 247 →
Cardinal two hundred forty-six
Ordinal 246th
(two hundred forty-sixth)
Factorization 2 × 3 × 41
Greek numeral ΣΜϚ´
Roman numeral CCXLVI
Binary 111101102
Ternary 1000103
Quaternary 33124
Quinary 14415
Senary 10506
Octal 3668
Duodecimal 18612
Hexadecimal F616
Vigesimal C620
Base 36 6U36

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]