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∑

n-ary summation

N-Ary Summation

18/256

∑ is the summation operator in mathematics, instructing you to add a sequence of terms. The expression underneath sets the starting value, while the top indicates where to stop. It represents repeated addition, not an emoji or casual shorthand.

Text symbol

What ∑ means

It means add the specified terms across the given range. The index and starting value appear below ∑, the stopping value sits above, and the formula to add follows to the right. Leonhard Euler introduced Greek capital sigma for sums in 1755, often remembered as matching the initial of sum; the notation spread gradually through nineteenth-century mathematics.

In plain text, ∑ remains standard text height. In a displayed equation, a math typesetter makes ∑ larger and puts the limits directly above and below it, while inline text keeps them to the right.

Part of the collection

Don't confuse it with

4

Combination ideas

4
Add up all the values xᵢ.
Adding 1 through n gives n/2.
The Basel problem: inverse squares sum to π²/6.
The grand total.

Questions people ask

1

Why does ∑ show as a box on some devices?

Because that device's fonts have no glyph for it. The character is still correct and still copies correctly — the box is a missing glyph, not a broken character.

Collections with ∑

3

How to type or find ∑

Also called
sigma notation · sum symbol · summation sign
Search it as
sigma · sum · summation · math sum
Shows up in
Anything that takes text · its shape is whatever your font draws
Windows (Word)
⎇Alt+XType 2211, then AltX to get ∑.
Windows
⊞Win+Rrun charmap for the full table, or use the emoji picker's Ω symbols tab (Win .).
macOS
⌃Control+⌘Command+␣SpaceOpen the character viewer and search “n-ary summation”.
Linux
⎈Ctrl+⇧Shift+UType 2211, then Enter or Space.
HTML
∑
CSS
\2211
Microsoft Word (Windows)
Type 2211, then press AltX.
LaTeX
Type \sum in math mode; specify bounds with _ (lower) and (upper).
Mac (US layout)
Press OptionW to insert the summation operator ∑.
Codes and encoding1 code points
HTML decimal
∑
HTML hex
∑
CSS content
content: "\2211";
Each escape is closed by the next backslash; a trailing space is needed before a literal hex digit.
URL encoded
%E2%88%91
1
On screen
1
Code points
1
JS .length
3
UTF-8 bytes

A visible symbol can contain several code points. JS .length counts UTF-16 units; UTF-8 counts bytes.

Families this belongs to

1

Maths & numbers1,835 symbols