Number
27
- Positive
- Odd
- Composite
- Perfect cube
- 2 digits
27 is an odd 2-digit integer and a composite number. It has 4 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value27
Digit count2
Digit sum9
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Perfect cubeYes, 3³
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation3^3
Distinct prime factors13
Number of divisors4
Sum of divisors σ(n)40
Aliquot sum13sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)18integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 274 in total
Arithmetic
Representations
Decimal27
Binary110115 bits
Octal33
Hexadecimal1B
Base 36R
Roman numeralXXVII
In wordstwenty-seven
Ordinaltwenty-seventh
Scientific notation2.7 × 10^1
Engineering notation27
Nearest landmarks
Powers & multiples
27 to the power 2729
27 to the power 319,683
27 to the power 4531,441
27 to the power 514,348,907
First ten multiples27, 54, 81, 108, 135, 162, 189, 216, 243, 270
Powers of twoBetween 2^4 (16) and 2^5 (32)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 3
Divisible by 5No, remainder 2
Divisible by 6No, remainder 3
Divisible by 7No, remainder 6
Divisible by 8No, remainder 3
Divisible by 9Yes
Divisible by 10No, remainder 7
Divisible by 11No, remainder 5
Divisible by 12No, remainder 3
Divisible by 100No, remainder 27
Collatz (3n + 1) trajectory
Steps to reach 1111the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps27 → 82 → 41 → 124 → 62 → 31 → 94 → 47 → 142 → 71 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage2,700%
27% as a decimal0.27
27% of 10027
27% of 1,000270
As a fraction of 10027/100
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