Number

16,384

Positive
Even
Composite
Perfect square
5 digits

16,384 is an even 5-digit integer and a composite number. It has 15 divisors and a digital root of 4.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value16,384

Digit count5

Digit sum22

Digital root4repeated digit sum

PalindromicNoreads differently backwards

Perfect squareYes, 128²

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^14

Distinct prime factors12

Number of divisors15

Sum of divisors σ(n)32,767

Aliquot sum16,383sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)8,192integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1,024, 2,048, 4,096, 8,192, 16,38415 in total

Arithmetic

Previous number16,383

Next number16,385

Double32,768

Half8,192

Square268,435,456

Cube4,398,046,511,104

Square root128exact

Cube root25.398416831≈

Negation-16,384

Reciprocal0.0000610352≈

Representations

Decimal16,384

Binary10000000000000015 bits

Octal40000

Hexadecimal4000

Base 36CN4

Roman numeralNot defined above 3,999there is no agreed standard notation

In wordssixteen thousand, three hundred and eighty-four

Ordinalsixteen thousand, three hundred and eighty-fourth

Scientific notation1.6384 × 10^4

Engineering notation16.384 × 10^3

Nearest landmarks

Next prime16,411+27

Previous prime16,381−3

Distance to nearest prime3

Nearest square below16,384

Nearest square above16,641

Powers & multiples

16,384 to the power 2268,435,456

16,384 to the power 34,398,046,511,104

16,384 to the power 472,057,594,037,927,936

16,384 to the power 51,180,591,620,717,411,303,424

First ten multiples16,384, 32,768, 49,152, 65,536, 81,920, 98,304, 114,688, 131,072, 147,456, 163,840

Powers of twoExactly 2^14

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 1

Divisible by 4Yes

Divisible by 5No, remainder 4

Divisible by 6No, remainder 4

Divisible by 7No, remainder 4

Divisible by 8Yes

Divisible by 9No, remainder 4

Divisible by 10No, remainder 4

Divisible by 11No, remainder 5

Divisible by 12No, remainder 4

Divisible by 100No, remainder 84

Collatz (3n + 1) trajectory

Steps to reach 114the total stopping time

Highest value reached16,384

Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven

First steps16,384 → 8,192 → 4,096 → 2,048 → 1,024 → 512 → 256 → 128 → 64 → 32 → …

Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage1,638,400%

16,384% as a decimal163.84

16,384% of 10016,384

16,384% of 1,000163,840

As a fraction of 10016,384/100

Read another way

As seconds4 hours, 33 minutes and 4 seconds

As bytes16 KiB

As a 24-bit colour#004000

Keep nerding

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