Number
52
- Positive
- Even
- Composite
- 2 digits
52 is an even 2-digit integer and a composite number. It has 6 divisors and a digital root of 7.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value52
Digit count2
Digit sum7
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 13
Distinct prime factors22, 13
Number of divisors6
Sum of divisors σ(n)98
Aliquot sum46sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)24integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 13, 26, 526 in total
Arithmetic
Representations
Decimal52
Binary1101006 bits
Octal64
Hexadecimal34
Base 361G
Roman numeralLII
In wordsfifty-two
Ordinalfifty-second
Scientific notation5.2 × 10^1
Engineering notation52
Nearest landmarks
Powers & multiples
52 to the power 22,704
52 to the power 3140,608
52 to the power 47,311,616
52 to the power 5380,204,032
First ten multiples52, 104, 156, 208, 260, 312, 364, 416, 468, 520
Powers of twoBetween 2^5 (32) and 2^6 (64)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 2
Divisible by 6No, remainder 4
Divisible by 7No, remainder 3
Divisible by 8No, remainder 4
Divisible by 9No, remainder 7
Divisible by 10No, remainder 2
Divisible by 11No, remainder 8
Divisible by 12No, remainder 4
Divisible by 100No, remainder 52
Collatz (3n + 1) trajectory
Steps to reach 111the total stopping time
Highest value reached52
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps52 → 26 → 13 → 40 → 20 → 10 → 5 → 16 → 8 → 4 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage5,200%
52% as a decimal0.52
52% of 10052
52% of 1,000520
As a fraction of 10052/100
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