Number

21,320

Positive
Even
Composite
5 digits

21,320 is an even 5-digit integer and a composite number. It has 32 divisors and a digital root of 8.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value21,320

Digit count5

Digit sum8

Digital root8repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^3 × 5 × 13 × 41

Distinct prime factors42, 5, 13, 41

Number of divisors32

Sum of divisors σ(n)52,920

Aliquot sum31,600sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)7,680integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 41, 52, 65, 82, 104, 130, 164, 205, 260, 328, 410, 520, 533, 820, 1,066, 1,640, 2,132, 2,665, 4,264, 5,330, 10,660, 21,32032 in total

Arithmetic

Previous number21,319

Next number21,321

Double42,640

Half10,660

Square454,542,400

Cube9,690,843,968,000

Square root146.013697988≈irrational, shown to 9 decimal places

Cube root27.728671759≈

Negation-21,320

Reciprocal0.0000469043≈

Representations

Decimal21,320

Binary10100110100100015 bits

Octal51510

Hexadecimal5348

Base 36GG8

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

In wordstwenty-one thousand, three hundred and twenty

Ordinaltwenty-one thousand, three hundred and twentieth

Scientific notation2.132 × 10^4

Engineering notation21.32 × 10^3

Nearest landmarks

Next prime21,323+3

Previous prime21,319−1

Distance to nearest prime1

Nearest square below21,316

Nearest square above21,609

Powers & multiples

21,320 to the power 2454,542,400

21,320 to the power 39,690,843,968,000

21,320 to the power 4206,608,793,397,760,000

21,320 to the power 54,404,899,475,240,243,200,000

First ten multiples21,320, 42,640, 63,960, 85,280, 106,600, 127,920, 149,240, 170,560, 191,880, 213,200

Powers of twoBetween 2^14 (16,384) and 2^15 (32,768)

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 2

Divisible by 4Yes

Divisible by 5Yes

Divisible by 6No, remainder 2

Divisible by 7No, remainder 5

Divisible by 8Yes

Divisible by 9No, remainder 8

Divisible by 10Yes

Divisible by 11No, remainder 2

Divisible by 12No, remainder 8

Divisible by 100No, remainder 20

Collatz (3n + 1) trajectory

Steps to reach 156the total stopping time

Highest value reached21,320

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

First steps21,320 → 10,660 → 5,330 → 2,665 → 7,996 → 3,998 → 1,999 → 5,998 → 2,999 → 8,998 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage2,132,000%

21,320% as a decimal213.2

21,320% of 10021,320

21,320% of 1,000213,200

As a fraction of 10021,320/100

Read another way

As seconds5 hours, 55 minutes and 20 seconds

As bytes20.82 KiB

As a 24-bit colour#005348

Keep nerding

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