Quickly calculate golden ratio digits in your browser. To get your φ digits, just specify how many of them you need in the options below, and this utility will generate a sequence of that many digits. Created by developers from team Browserling.

This is an online browser-based utility for generating a list of digits of the golden ratio. It's said that two objects are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two objects. Roughly speaking, this proportion can be expressed as 62% to 38%. The golden ratio is denoted by the Greek letter phi (Φ or φ) and often appears in science and nature. Many other names are used for the phi constant, in particular, golden mean, golden number, golden section, and lesser-known – extreme and mean ratio. The golden section can be calculated by solving the quadratic equation φ² - φ - 1 = 0. It has two solutions: φ = (1+√5)/2 (positive constant) and φ = (1-√5)/2 (negative constant). In this tool, you can calculate both the positive and negative golden proportion and get any number of φ digits, up to one million values. You can also get only digits of the ratio, without the whole number part (either "1." for positive phi or "-0." for negative), and optionally set a separator between φ digits. That's numberwang!

Click to try!

In this example, we find the first one thousand digits of the positive golden number, that is, of the constant φ = (1+√5)/2.

1.6180339887498948482045868343656381177203091798057628621354486227052604628189024497072072041893911374847540880753868917521266338622235369317931800607667263544333890865959395829056383226613199282902678806752087668925017116962070322210432162695486262963136144381497587012203408058879544547492461856953648644492410443207713449470495658467885098743394422125448770664780915884607499887124007652170575179788341662562494075890697040002812104276217711177780531531714101170466659914669798731761356006708748071013179523689427521948435305678300228785699782977834784587822891109762500302696156170025046433824377648610283831268330372429267526311653392473167111211588186385133162038400522216579128667529465490681131715993432359734949850904094762132229810172610705961164562990981629055520852479035240602017279974717534277759277862561943208275051312181562855122248093947123414517022373580577278616008688382952304592647878017889921990270776903895321968198615143780314997411069260886742962267575605231727775203536139362

Calculate this amount of φ digits.

Write prefix "1." in front of the

positive φ digits and prefix "-0."

in front of the negative φ digits.

positive φ digits and prefix "-0."

in front of the negative φ digits.

Calculate golden ratio digits

by using formula (1+√5)/2.

by using formula (1+√5)/2.

Separate φ digits with this symbol.

In this example, we calculate 200 digits of the second golden mean root. This root is negative and is calculated using the formula φ = (1-√5)/2.

-0.61803398874989484820458683436563811772030917980576286213544862270526046281890244970720720418939113748475408807538689175212663386222353693179318006076672635443338908659593958290563832266131992829026788

Calculate this amount of φ digits.

Write prefix "1." in front of the

positive φ digits and prefix "-0."

in front of the negative φ digits.

positive φ digits and prefix "-0."

in front of the negative φ digits.

Calculate golden ratio digits

by using formula (1-√5)/2.

by using formula (1-√5)/2.

Separate φ digits with this symbol.

In this example, we exclude the whole part from the golden section (that is, we don't print the "1." at the start), and generate 100 digits, separating them with the dash symbol.

6-1-8-0-3-3-9-8-8-7-4-9-8-9-4-8-4-8-2-0-4-5-8-6-8-3-4-3-6-5-6-3-8-1-1-7-7-2-0-3-0-9-1-7-9-8-0-5-7-6-2-8-6-2-1-3-5-4-4-8-6-2-2-7-0-5-2-6-0-4-6-2-8-1-8-9-0-2-4-4-9-7-0-7-2-0-7-2-0-4-1-8-9-3-9-1-1-3-7-4

Calculate this amount of φ digits.

Write prefix "1." in front of the

positive φ digits and prefix "-0."

in front of the negative φ digits.

positive φ digits and prefix "-0."

in front of the negative φ digits.

Calculate golden ratio digits

by using formula (1+√5)/2.

by using formula (1+√5)/2.

Separate φ digits with this symbol.

You can pass options to this tool using their codes as query arguments and it will automatically compute output. To get the code of an option, just hover over its icon. Here's how to type it in your browser's address bar. Click to try!

https://onlinetools.com/number/calculate-phi-digits?count=1000&include-base=true&positive-phi=true&separator=

Didn't find the tool you were looking for? Let us know what tool we are missing and we'll build it!

Quickly create a list of numbers in arithmetic series.

Quickly create a list of numbers in geometric series.

Quickly calculate the coefficients of the binomial expansion.

Quickly create a downloadable image from numbers.

Quickly create a list of random numbers.

Quickly create a list of random primes from a specific interval.

Quickly create a matrix with random numbers as its elements.

Quickly create a random row or column vector.

Quickly exchange rows and columns of a matrix.

Quickly find the inverse matrix of any square matrix.

Quickly find the determinant of any square matrix.

Quickly calculate any number of digits of number π.

Quickly generate the specified number of Euler constant's digits.

Quickly generate any number of golden ratio digits.

Quickly generate numbers of say what you see sequence.

Quickly calculate numbers of Fibonacci sequence.

Quickly calculate numbers of Lucas series.

Quickly generate Fibonacci-like series with custom start values.

Quickly calculate members of a linear recurrence series.

Quickly create a sequence of prime numbers.

Quickly check if the given number is a prime.

Quickly compute all prime factors of a number.

Quickly compute all divisors of a number.

Quickly calculate the GCD of two or more numbers.

Quickly calculate the LCM of two or more numbers.

Quickly create a list of increasing or decreasing integers.

Quickly create a sequence of even numbers.

Quickly create a sequence of odd numbers.

Quickly create a list of squares.

Quickly create a list of cubes.

Quickly generate a series of numbers in the form 2^n.

Quickly generate a series of numbers in the form 10^n.

Quickly choose one or more numbers from a list of numbers.

Quickly round one or more numbers to the given accuracy.

Quickly sort numbers in ascending or descending order.

Quickly sort number's digits in ascending or descending order.

Quickly randomize the order of digits in a number.

Quickly filter numbers according to certain criteria.

Quickly add up all the numbers in the given list and find their sum.

Quickly multiply all the numbers together and find their product.

Quickly add up all the digits of the given numbers.

Quickly multiply all the digits of the given numbers.

Quickly sum up all the fractions in the given list and find their total.

Quickly find the largest number in a number sequence.

Quickly find the smallest number in a number sequence.

Quickly create a diagonal matrix with ones on the main diagonal.

Quickly spell cardinal and ordinal numbers using English words.

Quickly convert spelled numbers to regular numbers.

Quickly convert a number to the form 2^x.

Quickly express a number in the form 10^x.

Quickly convert base 10 numbers to base -10.

Quickly convert a number from one base to any other base.

Quickly convert simple fractions to pretty Unicode fractions.

Quickly add digits to a number so that it becomes a palindrome.

Quickly test if the given numbers are palindromes.

Created with love by

51K

@browserling

51K

@browserling

We're Browserling — a friendly and fun cross-browser testing company powered by alien technology. At Browserling we love to make peoples' lives easier, so we created this collection of number crunching tools. Our tools have the simplest user interface that doesn't require advanced computer skills and they are used by millions of people every month. Our number tools are actually powered by our web developer tools that we created over the last couple of years. Check them out!

These number tools are on the way!

Generate Numberwang Numbers

Create a list of numberwang numbers.

Generate Magic Numbers

Create a list of neat looking numbers.

Draw a Number as Color Spectrum

Visualize a number by drawing its digits as a color gradient.

Draw a Magic Square

Create a matrix of numbers with rows and cols having same sum.

Rewrite Numbers

Given numbers and a grammar, recursively rewrite them.

Create a Floating Point Number

Create a number from the mantissa, base, and exponent.

Visualize a Floating Point Number

Show how a fp number is represented in a computer.

Convert a Number to the Scientific Notation

Convert a number to the a×10<sup>b</sup> form.

Convert Scientific Notation to a Number

Convert a number in scientific notation to a regular number.

Generate Unary Numbering

Create a list of unary numbers (1, 11, 111, 1111, …).

Generate Symbolic Numbering

Create a list of alphabetic numbers (a, b, c, …, z, aa, ab, …).

Generate Roman Numbering

Create a list of Roman numbers (i, ii, iii, iv, v…).

Generate Braille Numbering

Create a list of Braille numbers (⠂, ⠆, ⠒, ⠲, ⠢, …).

Generate Random Binary Numbers

Create a list of random binary numbers.

Generate Random Octal Numbers

Create a list of random octal numbers.

Generate Random Decimal Numbers

Create a list of random decimal numbers.

Generate Random Hex Numbers

Create a list of random hexadecimal numbers.

Calculate a Running Sum

Calculate a cumulative sum of a list of numbers.

Calculate a Running Difference

Calculate a cumulative difference of a list of numbers.

Calculate a Running Product

Calculate a cumulative product of a list of numbers.

Calculate Number Quotient

Divide two numbers and find their quotient.

Calculate Digit Quotient

Divide the digits of the given number.

Calculate the Factorial

Find the factorial of a number.

Calculate the Average

Find the average of multiple numbers.

Calculate the Mean

Find the mean of multiple numbers.

Calculate the Mode

Find the mode of multiple numbers.

Create Number Anagrams

Create one or more anagrams of a number.

Generate Number Bigrams

Create a list of digit bigrams from a number.

Generate Number Trigrams

Create a list of digit trigrams from a number.

Generate Number N-grams

Create a list of digit ngrams from a number.

Generate a Polynomial Sequence

Create a list of polynomial progression numbers.

Generate SI Prefixes

Create a list of metric prefixes.

Analyze a Number

Report how many digits appear how many times.

Convert a Number to an Ordinal

Convert a cardinal number to an ordinal number.

Convert an Ordinal to a Number

Convert an ordinal number to a cardinal number.

Convert a Number to Roman Number

Convert Arabic numerals to Roman numerals.

Convert a Roman Number to Regular Number

Convert Roman Numerals to Arabic numerals.

Generate Negafibonacci Numbers

Calculate a series of extended Fibonacci numbers.

Generate Fibonacci Primes

Find numbers that are both Fibonacci numbers and primes.

Fibonacci Number Test

Check if a number is a Fibonacci number.

Fibonacci Prime Test

Check if a number is both a Fibonacci number and a prime.

Construct Fibonacci Words

Create a sequence of Fibonacci words.

Construct Tribonacci Words

Create a sequence of Tribonacci words.

Construct Tetranacci Words

Create a sequence of Tetranacci words.

Construct Pentanacci Words

Create a sequence of Pentanacci words.

Generate Negalucas Numbers

Calculate a series of extended Lucas numbers.

Generate Lucas Primes

Calculate a series of extended Lucas numbers.

Lucas Prime Test

Check if a number is both a Lucas number and a prime.

Generate Moser de Bruijn Numbers

Calculate a sequence of Moser-Bruijn numbers.

Generate Kolakoski Numbers

Calculate a sequence of Oldenburger-Kolakoski numbers.

Generate Stanley Numbers

Calculate a sequence of Stanley numbers.

Generate Gijswijt Numbers

Calculate a sequence of self-describing Gijswijt numbers.

Generate Rudin-Shapiro Numbers

Calculate a sequence of Rusin-Shapiro numbers.

Generate Baum-Sweet Numbers

Calculate a sequence of Baum-Sweet numbers.

Generate Thue-Morse Sequence

Calculate members of Thue-Morse number series.

Generate Perfect Numbers

Create a list of perfect numbers.

Generate Almost Perfect Numbers

Create a list of almost perfect numbers.

Generate Excessive Number Sequence

Calculate a sequence of abundant numbers.

Generate Deficient Number Sequence

Calculate a sequence of deficient numbers.

Calculate Dragon Curve Numbers

Generate a list of paperfolding sequence numbers.

Generate Composite Numbers

Create a list of numbers that are not prime.

Draw a Number on an LCD

Generate an LCD display that shows the given number.

Draw a Numbers Table

Generate a table of numbers.

Test If a Number Is Perfect

Check if the given number is a perfect number.

Test If a Number Is Abundant

Check if the given number is an abundant number.

Test If a Number Is Deficient

Check if the given number is a deficient number.

Calculate the Modulo

Find the modulus of a number.

Group Number Digits

Group together digits of a number.

Split a Number into Digits

Create a list of digits from a number.

Printf Numbers

Apply sprintf or printf function to numbers.

Create Zalgo Numbers

Let Zalgo destroy your numbers.

Repeat a Number

Repeat a number multiple times.

Mirror a Number

Create a mirror copy of a number.

Zero-pad a Number

Add zeros to a number.

Custom-pad a Number

Add a padding of custom symbols to a number.

Reverse a Number

Reverse the order of digits of a number.

Rotate a Number

Cyclically rotate digits of a number to the left or right.

Increase a Number

Add one to the given number.

Increase All Digits in a Number

Add one to every digit in a number.

Decrease a Number

Subtract one from the given number.

Decrease All Digits in a Number

Subtract one from every digit in a number.

Find Patterns in Numbers

Discover patterns in sequences of numbers.

Count Number Occurrences

Find how often numeric values occur.

Calculate Percentages

Find x% of a number.

Generate Custom Numbers

Create numbers of arbitrary length and properties.

Print Googol

Print the Googol/Google number, which is 10<sup>100</sup>.

Generate the Biggest Number

Print the biggest number in the world.

Generate Big Numbers

Create a list of big numbers.

Generate the Smallest Number

Print the smallest number in the world.

Generate Small Numbers

Create a list of small numbers.

Generate Natural Numbers

Create a list of natural numbers.

Generate Rational Numbers

Create a list of rational numbers.

Generate Constant Sequence

Create a series of numbers where all terms are the same.

Generate Real Numbers

Create a sequence of real numbers.

Generate Complex Numbers

Create a list of complex numbers.

Generate Binary Numbers

Create a sequence of binary numbers.

Generate Pairs of Numbers

Create a sequence of number pairs.

Generate Triples of Numbers

Create a sequence of number triples.

Generate Tuples of Numbers

Create a sequence of number n-tuples.

Generate a Short Number

Create a number with not that many digits.

Generate a Long Number

Create a number with many digits.

Interweave Numbers

Interweave two or more number digit-by-digit.

Find the Decimal Expansion of a Number

Rewrite a number in the decimal representation.

Convert a Fraction to a Decimal

Convert a fraction to a decimal number.

Convert a Decimal to a Fraction

Convert a decimal number to a fraction.

Convert a Binary Number to Octal Number

Convert a base two number to base eight number.

Convert a Binary Number to Decimal Number

Convert a base two number to base ten number.

Convert a Binary Number to Hex Number

Convert a base two number to base sixteen number.

Convert a Octal Number to Binary Number

Convert a base eight number to base two number.

Convert a Octal Number to Decimal Number

Convert a base eight number to base ten number.

Convert a Octal Number to Hex Number

Convert a base eight number to base sixteen number.

Convert a Decimal Number to Binary Number

Convert a base ten number to base two number.

Convert a Decimal Number to Octal Number

Convert a base ten number to base eight number.

Convert a Decimal Number to Hex Number

Convert a base ten number to base sixteen number.

Convert a Hex Number to Binary Number

Convert a base sixteen number to base two number.

Convert a Hex Number to Octal Number

Convert a base sixteen number to base eight number.

Convert a Hex Number to Decimal Number

Convert a base sixteen number to base ten number.

Convert Any Number to Any Base

Convert any number in any base to any other base.

Change Number's Mantissa

Change the significand of a number.

Change Number's Exponent

Change the power of a number.

Replace Digits with Letters

Replace digits in a number with alphabet letters.

Create a Number Spiral

Form a spiral from the digits of a number.

Create a Number Circle

Form a circle from the digits of a number.

Create a Number Tree

Form a tree from the given numbers.

Create a Number Digit Tree

Form a tree from the digits of a number.

Remove Decimal Point

Remove the decimal separator from a decimal number.

Add Errors to Numbers

Modify numbers so they are almost the same but have errors.

Create Number Typos

Generate various number typos.

Change Number Font

Write numbers in a different font.

Generate Bold Numbers

Write numbers in a bold font.

Generate Underline Numbers

Write numbers with an underline below them.

Generate Strikethrough Numbers

Write numbers with a strikethrough on them.

Generate Superscript Numbers

Write numbers in a superscript font.

Generate Subscript Numbers

Write numbers in a subscript font.

Create Fake Numbers

Change digits in a number to Unicode look-alikes.

Perturb Numbers

Change the given numbers a little bit.

Perturb Number Digits

Change the digits of the given numbers a little bit.

Find Entropy of a Number

Calculate the complexity (entropy) of a number.

Numberwang Number Test

Test if the given number is numberwang.

Subscribe to our updates. We'll let you know when we release new tools, features, and organize online workshops.

Enter your email here

Click to reveal a secret

Secret message

If you love our tools, then we love you, too! Use coupon code NUMBERLING to get a discount for our premium plans.

Enter the "\n" symbol to separate

digits by the line break.