Number

21,164

Positive
Even
Composite
5 digits

21,164 is an even 5-digit integer and a composite number. It has 24 divisors and a digital root of 5.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value21,164

Digit count5

Digit sum14

Digital root5repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 11 × 13 × 37

Distinct prime factors42, 11, 13, 37

Number of divisors24

Sum of divisors σ(n)44,688

Aliquot sum23,524sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)8,640integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 11, 13, 22, 26, 37, 44, 52, 74, 143, 148, 286, 407, 481, 572, 814, 962, 1,628, 1,924, 5,291, 10,582, 21,16424 in total

Arithmetic

Previous number21,163

Next number21,165

Double42,328

Half10,582

Square447,914,896

Cube9,479,670,858,944

Square root145.478520751≈irrational, shown to 9 decimal places

Cube root27.660875225≈

Negation-21,164

Reciprocal0.00004725≈

Representations

Decimal21,164

Binary10100101010110015 bits

Octal51254

Hexadecimal52AC

Base 36GBW

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

In wordstwenty-one thousand, one hundred and sixty-four

Ordinaltwenty-one thousand, one hundred and sixty-fourth

Scientific notation2.1164 × 10^4

Engineering notation21.164 × 10^3

Nearest landmarks

Next prime21,169+5

Previous prime21,163−1

Distance to nearest prime1

Nearest square below21,025

Nearest square above21,316

Powers & multiples

21,164 to the power 2447,914,896

21,164 to the power 39,479,670,858,944

21,164 to the power 4200,627,754,058,690,816

21,164 to the power 54,246,085,786,898,132,429,824

First ten multiples21,164, 42,328, 63,492, 84,656, 105,820, 126,984, 148,148, 169,312, 190,476, 211,640

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 5No, remainder 4

Divisible by 6No, remainder 2

Divisible by 7No, remainder 3

Divisible by 8No, remainder 4

Divisible by 9No, remainder 5

Divisible by 10No, remainder 4

Divisible by 11Yes

Divisible by 12No, remainder 8

Divisible by 100No, remainder 64

Collatz (3n + 1) trajectory

Steps to reach 156the total stopping time

Highest value reached23,8121× the starting value

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

First steps21,164 → 10,582 → 5,291 → 15,874 → 7,937 → 23,812 → 11,906 → 5,953 → 17,860 → 8,930 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage2,116,400%

21,164% as a decimal211.64

21,164% of 10021,164

21,164% of 1,000211,640

As a fraction of 10021,164/100

Read another way

As seconds5 hours, 52 minutes and 44 seconds

As bytes20.668 KiB

As a 24-bit colour#0052AC

Keep nerding

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