Number
33
- Positive
- Odd
- Composite
- 2 digits
33 is an odd 2-digit integer and a composite number. It has 4 divisors and a digital root of 6.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value33
Digit count2
Digit sum6
Digital root6repeated digit sum
PalindromicYesreads the same backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation3 × 11
Distinct prime factors23, 11
Number of divisors4
Sum of divisors σ(n)48
Aliquot sum15sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)20integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 3, 11, 334 in total
Arithmetic
Representations
Decimal33
Binary1000016 bits
Octal41
Hexadecimal21
Base 36X
Roman numeralXXXIII
In wordsthirty-three
Ordinalthirty-third
Scientific notation3.3 × 10^1
Engineering notation33
Nearest landmarks
Powers & multiples
33 to the power 21,089
33 to the power 335,937
33 to the power 41,185,921
33 to the power 539,135,393
First ten multiples33, 66, 99, 132, 165, 198, 231, 264, 297, 330
Powers of twoBetween 2^5 (32) and 2^6 (64)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 3
Divisible by 7No, remainder 5
Divisible by 8No, remainder 1
Divisible by 9No, remainder 6
Divisible by 10No, remainder 3
Divisible by 11Yes
Divisible by 12No, remainder 9
Divisible by 100No, remainder 33
Collatz (3n + 1) trajectory
Steps to reach 126the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps33 → 100 → 50 → 25 → 76 → 38 → 19 → 58 → 29 → 88 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage3,300%
33% as a decimal0.33
33% of 10033
33% of 1,000330
As a fraction of 10033/100
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