Septenary is the base-7 numeral system, using the digits 0, 1, 2, 3, 4, 5, and 6. In
expanded notation, a septenary numeral 
represents the nonnegative
integer
where each 
is a digit value from 0 to 6. For example, 
in decimal. The
place values of the fractional part are the negative
powers 
, 
,
....
The septenary digit strings for successive nonnegative integers, beginning with 0, are 0, 1, 2, 3, 4, 5, 6, 10, 11, 12, ... (OEIS A007093).
See also
Base,
Decimal,
Digit,
Expanded Notation,
Numeral System
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References
De Vlieger, M. T. "Multiplication Tables of Various Bases." Updated Nov. 24, 2014. https://dozenal.org/drupal/sites_bck/default/files/MultiplicationSynopsis.pdf.Math
Is Fun. "Number Bases." https://www.mathsisfun.com/numbers/bases.html.Sloane,
N. J. A. Sequence A007093 in "The
On-Line Encyclopedia of Integer Sequences."
Cite this as:
Weisstein, Eric W. "Septenary." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Septenary.html
Subject classifications
