Number
48
- Positive
- Even
- Composite
- 2 digits
48 is an even 2-digit integer and a composite number. It has 10 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value48
Digit count2
Digit sum12
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^4 × 3
Distinct prime factors22, 3
Number of divisors10
Sum of divisors σ(n)124
Aliquot sum76sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)16integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 8, 12, 16, 24, 4810 in total
Arithmetic
Representations
Decimal48
Binary1100006 bits
Octal60
Hexadecimal30
Base 361C
Roman numeralXLVIII
In wordsforty-eight
Ordinalforty-eighth
Scientific notation4.8 × 10^1
Engineering notation48
Nearest landmarks
Powers & multiples
48 to the power 22,304
48 to the power 3110,592
48 to the power 45,308,416
48 to the power 5254,803,968
First ten multiples48, 96, 144, 192, 240, 288, 336, 384, 432, 480
Powers of twoBetween 2^5 (32) and 2^6 (64)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6Yes
Divisible by 7No, remainder 6
Divisible by 8Yes
Divisible by 9No, remainder 3
Divisible by 10No, remainder 8
Divisible by 11No, remainder 4
Divisible by 12Yes
Divisible by 100No, remainder 48
Collatz (3n + 1) trajectory
Steps to reach 111the total stopping time
Highest value reached48
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps48 → 24 → 12 → 6 → 3 → 10 → 5 → 16 → 8 → 4 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage4,800%
48% as a decimal0.48
48% of 10048
48% of 1,000480
As a fraction of 10048/100
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