246 (number)

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

← 245 246 247 →
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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
Octal	3668
Duodecimal	18612
Hexadecimal	F616

In mathematics

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

• +246 is the code for international direct dial phone calls to British Indian Ocean Territory (Diego Garcia).
• +1246, is the area code assigned to Barbados.
• List of highways numbered 246.
• 2-4-6, a Whyte notation classification of steam locomotive.

References

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.