Number
3
- Positive
- Odd
- Prime
- 1 digit
3 is an odd 1-digit integer and a prime number. It has 2 divisors and a digital root of 3.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value3
Digit count1
Digit sum3
Digital root3repeated digit sum
PalindromicYesreads the same backwards
Triangular numberYes, the 2nd triangular number
Fibonacci numberYes, F(4)
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Armstrong numberYesdigits raised to the digit count sum to itself
Factors & divisors
Prime factorisation3
Distinct prime factors13
Number of divisors2
Sum of divisors σ(n)4
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)2integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 32 in total
Arithmetic
Representations
Decimal3
Binary112 bits
Octal3
Hexadecimal3
Base 363
Roman numeralIII
In wordsthree
Ordinalthird
Scientific notation3 × 10^0
Engineering notation3
Nearest landmarks
Powers & multiples
3 to the power 29
3 to the power 327
3 to the power 481
3 to the power 5243
First ten multiples3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Powers of twoBetween 2^1 (2) and 2^2 (4)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 3
Divisible by 5No, remainder 3
Divisible by 6No, remainder 3
Divisible by 7No, remainder 3
Divisible by 8No, remainder 3
Divisible by 9No, remainder 3
Divisible by 10No, remainder 3
Divisible by 11No, remainder 3
Divisible by 12No, remainder 3
Divisible by 100No, remainder 3
Collatz (3n + 1) trajectory
Steps to reach 17the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps3 → 10 → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage300%
3% as a decimal0.03
3% of 1003
3% of 1,00030
As a fraction of 1003/100
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Derived from 3
Other readings
Also reads as
U+0033 (unicode character)
- U+0033
- 3
- Decimal digit
U+0033 is code point 51 (3), a decimal digit in the Basic Latin (ASCII) block of the Basic Multilingual Plane. It takes 1 byte in UTF-8 and 1 unit in UTF-16.
Identity
Code pointU+0033
Decimal51
Character3
General categoryDecimal digit
BlockBasic Latin (ASCII)
PlaneBasic Multilingual Planeplane 0
Official nameNot includedthe Unicode Character Database is not bundled; a stale copy would be worse than none
Encodings
UTF-8331 byte
UTF-160033a single unit
UTF-3200000033
Binary110011
Bytes in UTF-8 vs UTF-161 vs 2UTF-16 is not always smaller, even for non-Latin text
Writing it in code
HTML numeric entity3
HTML hex entity3
CSS escape\0033
JavaScript\u0033
Python\u0033
Percent-encoded (URL)%33
Things that catch people out
JavaScript string length1
Needs a surrogate pairNo
Safe in a URL unescapedYes
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