Wolfram|Alpha Mathematics

Numbers

Integers ››

compute properties of an integer
28
do exact arithmetic with integers
141(2^141) + 1
compute a prime factorization
factor 70560

Rational Numbers ››

compute properties of a rational number
12/17
compute the exact value of a repeating decimal
.03571428571428...

Irrational Numbers ››

compute properties of an irrational number
sqrt(13)
determine whether a number is irrational
Is cbrt(3) an irrational number?

Algebraic Numbers ››

determine whether a number is algebraic
Is sin(pi/17) an algebraic number?
identify algebraic integers and units
Is 1/(1+sqrt(5)) an algebraic integer?

Transcendental Numbers ››

determine whether a number is transcendental
Is sqrt(2)^sqrt(2) transcendental?
get information about a transcendental number
Champernowne constant

Complex Numbers ››

do basic arithmetic on complex numbers
1/(12+7i)
find roots of complex numbers
(1+i)^(1/5)
apply functions to complex numbers
exp(24+2i)

Arbitrary Precision ››

do exact arithmetic with large numbers
1927508279017230597 + 278789278723478925
find a decimal approximation
(1+e)/2
compute a decimal approximation to a specified number of digits
pi to 1000 digits

Mathematical Constants ››

compute the value of a mathematical constant
feigenbaum alpha
do computations involving constants
golden ratio - 1/(golden ratio)

Number Recognition ››

find possible closed forms for an approximate number
-0.283882181415
represent an approximate number in terms of specified constants
express 4.8675 through pi and e

Number Lines ››

visualize a set of real numbers on a number line
number line 2, 3, 5, 7, 11, 13
show multiple sets on a number line
number line x^2>5, 0<=x<3

Real Intervals ››

compute properties of an interval of real numbers
[3,8)
compare intervals
intervals [0,1), (1,oo)

Number Bases ››

convert a decimal number to another base
1275 to base 7
convert a number in a given base to decimal
100011010 base 2
do mixed-base computations
(28 base 16) + (30 base 5)

Historical Numerals ››

do computations with Roman numerals
XLVIII + LXXII
convert a decimal number to Mayan numerals
365 to Mayan

Number Names ››

find the English name of a large number
10^39
specify a number by name
49 tredecillion