Number
32
- Positive
- Even
- Composite
- 2 digits
32 is an even 2-digit integer and a composite number. It has 6 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value32
Digit count2
Digit sum5
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^5
Distinct prime factors12
Number of divisors6
Sum of divisors σ(n)63
Aliquot sum31sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)16integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 16, 326 in total
Arithmetic
Representations
Decimal32
Binary1000006 bits
Octal40
Hexadecimal20
Base 36W
Roman numeralXXXII
In wordsthirty-two
Ordinalthirty-second
Scientific notation3.2 × 10^1
Engineering notation32
Nearest landmarks
Powers & multiples
32 to the power 21,024
32 to the power 332,768
32 to the power 41,048,576
32 to the power 533,554,432
First ten multiples32, 64, 96, 128, 160, 192, 224, 256, 288, 320
Powers of twoExactly 2^5
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5No, remainder 2
Divisible by 6No, remainder 2
Divisible by 7No, remainder 4
Divisible by 8Yes
Divisible by 9No, remainder 5
Divisible by 10No, remainder 2
Divisible by 11No, remainder 10
Divisible by 12No, remainder 8
Divisible by 100No, remainder 32
Collatz (3n + 1) trajectory
Steps to reach 15the total stopping time
Highest value reached32
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps32 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage3,200%
32% as a decimal0.32
32% of 10032
32% of 1,000320
As a fraction of 10032/100
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