246 (number)
246 (two hundred [and] forty-six) is the natural number following 245 and preceding 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 | |||
| Senary | 10506 | |||
| Octal | 3668 | |||
| Duodecimal | 18612 | |||
| Hexadecimal | F616 | |||
Additionally, 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
[edit]- ^ 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.
- ^ "Bounded gaps between primes". Polymath. Retrieved 2013-07-21.
- ^ 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.