306 (number)
| ||||
|---|---|---|---|---|
| Cardinal | three hundred six | |||
| Ordinal | 306th (three hundred sixth) | |||
| Factorization | 2 × 32 × 17 | |||
| Divisors | 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306 | |||
| Greek numeral | ΤϚ´ | |||
| Roman numeral | CCCVI | |||
| Binary | 1001100102 | |||
| Ternary | 1021003 | |||
| Senary | 12306 | |||
| Octal | 4628 | |||
| Duodecimal | 21612 | |||
| Hexadecimal | 13216 | |||
306 is the natural number following 305 and preceding 307.
In mathematics
[edit]- 306 is an even composite number with three prime factors.[1]
- 306 is the sum of consecutive primes 71+73+79+83.
- 306 is the 17th oblong number meaning that it is equal to 17*18.[2][3]
- 306 is an untouchable number meaning that it is unable to be equal to the sum of proper factors in any number.[4][5]
- There are 306 triangular numbers with 5 digits.[6]
Other fields
[edit]- The calendar years 306 AD and 306 BC.
- 306 is the number for several highways across the countries of Canada, China, Costa Rica, Hungary, India, Japan, the Philippines, and the United States.
- Martin Luther King Jr. was staying in Room 306 of the Lorraine Motel before he was assassinated.
References
[edit]- ^ "Facts about the integer". mathworld.wolfram.com.
- ^ Sloane, N. J. A. (ed.). "Sequence A002378". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Cooke, Robert (2013). The History of Mathematics (PDF). A John Wiley & Sons, Inc., Publication. p. 110. ISBN 9781118217566.
- ^ Sloane, N. J. A. (ed.). "Sequence A005114 (Untouchable numbers, also called nonaliquot numbers: impossible values for the sum of aliquot parts function (A001065))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Pomerance, Carl; Yang, Hee-Sung. "On Untouchable Numbers and Related Probems" (PDF). math.dartmouth.edu.
- ^ Bicknell, Marjorie; Hoggatt, V. E. "Triangular numbers" (PDF). mathstat.dal.ca.