246 (number)

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

← 245 246 247 →
← 200 210 220 230 240 250 260 270 280 290 → List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	two hundred forty-six
Ordinal	246th (two hundred and forty-sixth)
Factorization	2 × 3 × 41
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

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

References

1. "Sloane's 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's 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.