306 (number)

Short description: Natural number

| <- 305  | 306 |  307 ->

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List of numbers — Integers

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

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
Quaternary| 103024
Quinary| 22115
Senary| 12306
Octal| 4628
Duodecimal| 21612
Hexadecimal| 13216
Vigesimal| F620
Base 36| 8I36

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][5]
* There are 306 triangular numbers with 5 digits.[6]

## 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 .

## References

1. ↑ "Facts about the integer". https://mathworld.wolfram.com/CompositeNumber.html.
2. ↑ Sloane, N. J. A., ed. "Sequence A002378". OEIS Foundation. https://oeis.org/A002378.
3. ↑ Cooke, Robert (2013). The History of Mathematics. A John Wiley & Sons, Inc., Publication. p. 110. ISBN 9781118217566. https://www.hlevkin.com/hlevkin/90MathPhysBioBooks/mathHistory/Cooke_The History of Mathematics.pdf.
4. ↑ Sloane, N. J. A., ed. "Sequence A005114 (Untouchable numbers, also called nonaliquot numbers: impossible values for the sum of aliquot parts function (A001065))". OEIS Foundation. https://oeis.org/A005114.
5. ↑ Pomerance, Carl; Yang, Hee-Sung. "On Untouchable Numbers and Related Probems". https://math.dartmouth.edu/~carlp/uupaper3.pdf.
6. ↑ Bicknell, Marjorie; Hoggatt, V. E.. "Triangular numbers". https://www.mathstat.dal.ca/FQ/Scanned/12-3/hoggatt.pdf.

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