306 (number)

← 305 306 307 →
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, cccvi
Binary	1001100102
Ternary	1021003
Senary	12306
Octal	4628
Duodecimal	21612
Hexadecimal	13216

Last updated February 22, 2025

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 cannot be equal to the sum of proper factors in any number.^[4]^[5]
There are 306 triangular numbers with 5 digits.^[6]

References

↑ "Facts about the integer". mathworld.wolfram.com.
↑ Sloane, N. J. A. (ed.). "SequenceA002378". 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.). "SequenceA005114(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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[1] "Facts about the integer". mathworld.wolfram.com.

[2] Sloane, N. J. A. (ed.). "SequenceA002378". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.

[3] Cooke, Robert (2013). The History of Mathematics (PDF). A John Wiley & Sons, Inc., Publication. p. 110. ISBN 9781118217566.

[4] Sloane, N. J. A. (ed.). "SequenceA005114(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.

[5] Pomerance, Carl; Yang, Hee-Sung. "On Untouchable Numbers and Related Probems" (PDF). math.dartmouth.edu.

[6] Bicknell, Marjorie; Hoggatt, V. E. "Triangular numbers" (PDF). mathstat.dal.ca.

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