The int( Command

Command Summary

Rounds a value down to the nearest integer.

Command Syntax


Menu Location


  1. MATH to access the math menu.
  2. RIGHT to access the NUM submenu.
  3. 5 to select int(, or use arrows.

Calculator Compatibility


Token Size

1 byte

int(X) is the floor function. It returns the greatest integer less than or equal to X, and also works on complex numbers, lists and matrices.


The difference between iPart( and int( is subtle, and many people aren't even aware of it, but it exists. Whereas iPart( always truncates its parameters, simply removing the fractional part, int( always rounds down. This means that they return the same answers for positive numbers, but int( will return an answer 1 less than iPart( for (non-integer) negative numbers. For example, iPart(-5.32) is -5, while int(-5.32) is -6.

Most of the time, however, you're dealing with only positive numbers anyway. In this case, the decision to use iPart( or int( is mostly a matter of preference - some people use int( because it is shorter; some use iPart( when there is a corresponding fPart( taken. However, if speed is a consideration, one should check the Command Timings section.

Advanced Uses

int(, along with iPart( and fPart(, can be used for integer compression.

Command Timings

The following table compares the speeds of int( and iPart(. Each command was timed over 2000 iterations to find a noticeable difference.

Format Bars Pixels Total
iPart(1 10 1 81
iPart(1.643759 10 1 81
int(1 8 7 71
int(1.643759 10 2 82

Conclusion: int( scales with the length of its input while iPart( does not. For fewer than 6 decimals, int( will most often be faster; for 6 or more decimals, consider using iPart(.

Related Commands

See Also


Unless otherwise stated, the content of this page is licensed under Creative Commons Attribution-Noncommercial 2.5 License.