Number

21,322

Positive
Even
Composite
5 digits

21,322 is an even 5-digit integer and a composite number. It has 8 divisors and a digital root of 1.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value21,322

Digit count5

Digit sum10

Digital root1repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 7 × 1,523

Distinct prime factors32, 7, 1,523

Number of divisors8

Sum of divisors σ(n)36,576

Aliquot sum15,254sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)9,132integers below n that share no factor with it

SquarefreeYesno repeated prime factor

All divisors1, 2, 7, 14, 1,523, 3,046, 10,661, 21,3228 in total

Arithmetic

Previous number21,321

Next number21,323

Double42,644

Half10,661

Square454,627,684

Cube9,693,571,478,248

Square root146.020546499≈irrational, shown to 9 decimal places

Cube root27.729538795≈

Negation-21,322

Reciprocal0.0000468999≈

Representations

Decimal21,322

Binary10100110100101015 bits

Octal51512

Hexadecimal534A

Base 36GGA

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

In wordstwenty-one thousand, three hundred and twenty-two

Ordinaltwenty-one thousand, three hundred and twenty-second

Scientific notation2.1322 × 10^4

Engineering notation21.322 × 10^3

Nearest landmarks

Next prime21,323+1

Previous prime21,319−3

Distance to nearest prime1

Nearest square below21,316

Nearest square above21,609

Powers & multiples

21,322 to the power 2454,627,684

21,322 to the power 39,693,571,478,248

21,322 to the power 4206,686,331,059,203,856

21,322 to the power 54,406,965,950,844,344,617,632

First ten multiples21,322, 42,644, 63,966, 85,288, 106,610, 127,932, 149,254, 170,576, 191,898, 213,220

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

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 1

Divisible by 4No, remainder 2

Divisible by 5No, remainder 2

Divisible by 6No, remainder 4

Divisible by 7Yes

Divisible by 8No, remainder 2

Divisible by 9No, remainder 1

Divisible by 10No, remainder 2

Divisible by 11No, remainder 4

Divisible by 12No, remainder 10

Divisible by 100No, remainder 22

Collatz (3n + 1) trajectory

Steps to reach 156the total stopping time

Highest value reached31,9841× the starting value

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

First steps21,322 → 10,661 → 31,984 → 15,992 → 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 percentage2,132,200%

21,322% as a decimal213.22

21,322% of 10021,322

21,322% of 1,000213,220

As a fraction of 10021,322/100

Read another way

As seconds5 hours, 55 minutes and 22 seconds

As bytes20.822 KiB

As a 24-bit colour#00534A

Keep nerding

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