# 246 (number)

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
Octal3668
Duodecimal18612

## 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]

## 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. ^