306 (number)

306 is a natural number. It comes after 305 and before 307.

Mathematics

• The factors of 306 are: 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, and 306.
• 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.
• The sum of all its divisors (excluding itself) is 396, so 306 is an abundant number.
• 306 is a Harshad number, which means it can be evenly divided by the sum of its digits (3 + 0 + 6 = 9, and 306 ÷ 9 = 34).
• 306 is the start of an infinite aliquot sequence and follows the same aliquot pattern as 276.
• 306 is an untouchable number meaning that it cannot be equal to the sum of proper factors in any number.

Other fields

• Martin Luther King Jr. was staying in Room 306 of the Lorraine Motel at the time of his assassination.