This online utility calculates the running product of several integers and displays the step-by-step multiplication process in the output. You can load the input integer data in any format and quickly adjust the delimiter character in the options. You can also use the skip-zero option to avoid the product turning into zero if any of the integers in the data is zero. Created by math nerds from team Browserling.
With this browser-based program, you can find the running product (also known as the cumulative product) of multiple integer values. The program accepts any number of integers in any format as the input. It can be a vertical list, a sequence of integers, or even plain text with integers in it. If the "Smart Integer Detection" option is enabled, the program will scan the input data and extract all integers via its intelligent integer detection algorithm. By switching to the "Custom Integer Separation" option, you can manually specify a character that separates the integers in the input list. For example, if the input integers are comma-separated "10, 20, 30", then you can enter the comma "," in this option, or if the input is semicolon-separated "10; 20; 30", then you can enter the semicolon ";". The running product differs from the regular integer product in that it accumulates the intermediate results of the multiplication at every step of the computation and displays these intermediate partial products on the screen. For example, the regular product of integers 2, 4, 5, 6 is a single value and looks like this: 2×4×5×6 = 240 but the running product has four values: 2, 8, 40, 240. This is because the sequence starts with the integer 2, then it's multiplied by the second integer 2×4 = 8, then by the third 2×4×5 = 40, and then by the fourth 2×4×5×6 = 240. The integers 2, 8, 40, and 240 are cumulative (or intermediate) values of the computation. As you can see, the next integer is always multiplied by all the previous integers. If at any stage of the computation the value 0 is encountered, then all the following products (and the entire product) turns into 0. To prevent this zero result, use the "Avoid Zero Result" option that will skip all 0's in the input. You can also add position numbers of cumulative products by enabling the "Print Product Counter" option and view the factors contributing to each partial product by activating the "Print Product Multipliers" option. Integerabulous!
This example calculates the running product of the first ten positive even integers. As there are no negative integers or zero values in the input, the partial products increase with each step. All partial results are displayed on individual lines and the last value is the total product of the entire multiplication.
In this example, there are unwanted zero values among the integers. If we carried out the multiplication, then at the third integer it would turn zero and never change. To avoid that, we enable the "Avoid Zero Product" mode. Now all zeros are skipped and only non-zero values are used in the computation. We also insert the ";" symbol in the separator option because the input integers use the semicolon character as the delimiter character.
In this example, we decided to create a weekly at-home workout program for squats. As we're just starting, we'll do just two squats on the first day and then double the number of squats every next day. With the running product algorithm, we can examine the progress of training day after day and quickly see the exact number of squats we'll do every day. It turns out by the seventh day, we'll be doing 128 squats. Ouch!
In this example, we copied a text fragment from a chapter on calculating cubes from a mathematical textbook. As the integers are mixed together with textual data in the input, we use the "Clever Integer Detection" option to separate the integers from text. As we're calculating a cube of the integer 7, we also show the square of the integer 7 by printing the product factors on the screen.
You can pass input to this tool via ?input query argument and it will automatically compute output. Here's how to type it in your browser's address bar. Click to try!
Quickly rewrite integer digits using pretty Unicode glyphs.
Quickly generate random two-dimensional integer points.
Quickly generate random three-dimensional integer points.
Quickly print a list of integers that are palindromes.
Quickly convert the given integer to a palindromic integer.
Quickly find all integers in the given text or string.
Quickly make integer digits go in a triangle wave.
Quickly unleash the destructive force of Zalgo on integers.
Quickly find two or more integers that add up to the given integer.
Quickly find several integers that multiply up to the given integer.
Quickly randomize the given sequence of integers.
Quickly mix the order of digits in an integer.
Quickly put integers in increasing or decreasing order.
Quickly sort the individual digits of an integer.
Quickly increase all integers by a certain amount.
Quickly increase individual digits by a certain amount.
Quickly decrease all integers by a certain amount.
Quickly decrease individual digits by a certain amount.
Quickly randomly select an integer from a list of integers.
Quickly create groups from the digits of an integer.
Quickly write integer digits backwards.
Quickly remove one or more digits from an integer.
Quickly replace one or more digits in an integer.
Quickly drop digits from an integer and make it shorter.
Quickly add the thousands separator to integers.
Quickly remove the thousands separator from integers.
Quickly find the largest integer in a list of integers.
Quickly find the smallest integer in a list of integers.
Quickly find the total sum of a bunch of integers.
Quickly find the sum of all the digits in an integer.
Quickly find the total product of a bunch of integers.
Quickly find the product of all the digits in an integer.
Quickly calculate the partial sum of a bunch of integers.
Quickly calculate the partial product of a bunch of integers.
Quickly flip the sign of one or more integers.
Quickly split an integer into chunks of a given length.
Quickly merge partial integers together to form a larger integer.
Quickly round integers up or down to the required precision.
Quickly convert integers to a downloadable picture.
Quickly generate a list of von Neumann ordinals.
Quickly generate a list of Zermelo ordinals.
Quickly generate an ordered sequence of integers.
Quickly generate an ordered list of even integers.
Quickly generate an ordered list of odd integers.
Quickly write an integer spelling in words.
Quickly convert spelled integers to regular integers with digits.
Quickly generate an array of integers for programming.
Quickly find the number of occurrences of digits in integers.
Create a drawing that visualizes von Neumann hierarchy of sets.
Create a sudoku puzzle.
Create a list of neat-looking integers (called magic integers).
Generate a list of tuples of integers with n elements.
Quickly convert integers to base one.
Quickly convert base one to integers.
Quickly convert integers to base two.
Quickly convert base two to integers.
Quickly convert integers to base eight.
Quickly convert base eight to integers.
Quickly convert integers to base sixteen.
Quickly convert base sixteen to integers.
Quickly encode integers to base-64.
Quickly decode base-64 to integers.
Quickly convert integers to a custom base.
Quickly encode integers to HTML encoding.
Quickly decode HTML entities to integers.
Quickly encode integers to URL (percent) encoding.
Quickly decode URL-encoded integers.
Quickly convert a signed integer to an unsigned integer.
Quickly convert an unsigned integer to a signed integer.
Generate a list of random integers.
Check if the given integers are palindromes.
Create a matrix whose entries are all integers.
Create a vector with integer coefficients.
Quickly calculate the average value of integers.
Quickly calculate the average value of integer digits.
Quickly randomly select a digit from an integer.
Find which of the given integers is the biggest or smallest.
Limit integer values to a range.
Limit integer digit values to a range.
Create multiple copies of the input integers.
Create multiple copies of digits of input integers.
Rotate the digits of an integer to the left or right.
Move the digits of an integer to the left or right.
Quickly find the difference of a bunch of integers.
Quickly apply the bitwise AND operation to integers.
Quickly apply the bitwise OR operation to integers.
Quickly apply the bitwise XOR operation to integers.
Quickly apply the bitwise NOT operation to integers.
Quickly apply the bitwise NAND operation to integers.
Quickly apply the bitwise NOR operation to integers.
Quickly apply the bitwise NXOR operation to integers.
Quickly divide two or more integers.
Quickly divide the digits of an integer.
Add -st, -nd, -rd, -th suffixes to integers to make them ordinals.
Remove -st, -nd, -rd, -th suffixes from ordinals to make them ints.
Find integers that match a filter (greater, less, equal).
Add padding to integers on the left side.
Add padding to integers on the right side.
Position all integers so that they align on the right.
Position all integers so that they align in the middle.
Turn all integers into positive integers.
Turn all integers into negative integers.
Rewrite an integer in fractional form.
Extract the numerator and denominator from a fraction.
Search for all occurrences of an integer and replace it.
Create a regex that matches the given integers.
Create integers that match the given regular expression.
Create relatively tiny integers.
Create relatively huge integers.
Create a sequence of oscillating integers, such as 123212321.
Create multiple integer sequences at once.
Slightly change an integer so it has an error.
Slightly change integer digits so there are errors.
Apply fuzzing to integers and add perturbations.
Apply fuzzing to integer digits and add digit perturbations.
Add highlighting to certain integers.
Add highlighting to certain integer digits.
Add color to integers based on a condition.
Add color to individual digits in the given integers.
Quickly assign colors to integers and draw them as pixels.
Quickly assign integer values to pixel colors and print them.
Make the digits of an integer go in a spiral shape.
Make the digits of an integer go in a circle.
Make the digits of an integer go in a diamond shape.
Fill a box with certain width and height with digits.
Use ASCII art to convert integers to 2-dimensional drawings.
Use ASCII art to convert integers to 3-dimensional drawings.
Decompose an integer into ones, tens, hundreds, etc.
Generate an ordered list of increasing integers.
Generate an ordered list of decreasing integers.
Quickly find various information about the given integers.
Find hidden patterns of numbers in integers.
Find the Shannon entropy of an integer.
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