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Number

12

  • Positive
  • Even
  • Composite
  • 2 digits

12 is an even 2-digit integer and a composite number. It has 6 divisors and a digital root of 3.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value12
Digit count2
Digit sum3
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 3
Distinct prime factors22, 3
Number of divisors6
Sum of divisors σ(n)28
Aliquot sum16sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)4integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 126 in total

Arithmetic

Previous number11
Next number13
Double24
Half6
Square144
Cube1,728
Square root3.464101615irrational, shown to 9 decimal places
Cube root2.289428485
Negation-12
Reciprocal0.0833333333
12 factorial479,001,600

Representations

Decimal12
Binary11004 bits
Octal14
HexadecimalC
Base 36C
Roman numeralXII
In wordstwelve
Ordinaltwelfth
Scientific notation1.2 × 10^1
Engineering notation12

Nearest landmarks

Next prime13+1
Previous prime11−1
Distance to nearest prime1
Nearest square below9
Nearest square above16

Powers & multiples

12 to the power 2144
12 to the power 31,728
12 to the power 420,736
12 to the power 5248,832
First ten multiples12, 24, 36, 48, 60, 72, 84, 96, 108, 120
Powers of twoBetween 2^3 (8) and 2^4 (16)

Divisibility tests

Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 2
Divisible by 6Yes
Divisible by 7No, remainder 5
Divisible by 8No, remainder 4
Divisible by 9No, remainder 3
Divisible by 10No, remainder 2
Divisible by 11No, remainder 1
Divisible by 12Yes
Divisible by 100No, remainder 12

Collatz (3n + 1) trajectory

Steps to reach 19the total stopping time
Highest value reached161× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps12 → 6 → 3 → 10 → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage1,200%
12% as a decimal0.12
12% of 10012
12% of 1,000120
As a fraction of 10012/100

Read another way

As seconds12 seconds
As bytes12 B
As a 24-bit colour#00000C

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Every value on this page was computed from “12” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.