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Contents

(Top) 1 In mathematics 2 Other fields 3 References

306 (number)

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306

List of numbers

← 0 100 200 300 400 500 600 700 800 900 →

three hundred six

306th
(three hundred sixth)

2 × 3² × 17

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

ΤϚ´

CCCVI

100110010₂

102100₃

1230₆

462₈

216₁₂

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.

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