306 (number) explained

Number:	306
Divisor:	1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

306 is the natural number following 305 and preceding 307.

In mathematics

• 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]
• There are 306 triangular numbers with 5 digits.^[5]

Other fields

• 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.

Notes and References

1. Web site: Facts about the integer. mathworld.wolfram.com.
2. n*(n+1).
3. Book: Cooke, Robert. 2013. The History of Mathematics. A John Wiley & Sons, Inc., Publication. 110. 9781118217566.
4. Web site: On Untouchable Numbers and Related Probems. math.dartmouth.edu. Carl. Pomerance. Hee-Sung. Yang.
5. Web site: Triangular numbers. mathstat.dal.ca. Marjorie. Bicknell. V. E.. Hoggatt.