Number

21,088

Positive
Even
Composite
5 digits

21,088 is an even 5-digit integer and a composite number. It has 12 divisors and a digital root of 1.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value21,088

Digit count5

Digit sum19

Digital root1repeated digit sum

PalindromicNoreads differently backwards

Happy numberYessquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^5 × 659

Distinct prime factors22, 659

Number of divisors12

Sum of divisors σ(n)41,580

Aliquot sum20,492sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)10,528integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 8, 16, 32, 659, 1,318, 2,636, 5,272, 10,544, 21,08812 in total

Arithmetic

Previous number21,087

Next number21,089

Double42,176

Half10,544

Square444,703,744

Cube9,377,912,553,472

Square root145.217078885≈irrational, shown to 9 decimal places

Cube root27.627725412≈

Negation-21,088

Reciprocal0.0000474203≈

Representations

Decimal21,088

Binary10100100110000015 bits

Octal51140

Hexadecimal5260

Base 36G9S

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

In wordstwenty-one thousand and eighty-eight

Ordinaltwenty-one thousand and eighty-eighth

Scientific notation2.1088 × 10^4

Engineering notation21.088 × 10^3

Nearest landmarks

Next prime21,089+1

Previous prime21,067−21

Distance to nearest prime1

Nearest square below21,025

Nearest square above21,316

Powers & multiples

21,088 to the power 2444,703,744

21,088 to the power 39,377,912,553,472

21,088 to the power 4197,761,419,927,617,536

21,088 to the power 54,170,392,823,433,598,599,168

First ten multiples21,088, 42,176, 63,264, 84,352, 105,440, 126,528, 147,616, 168,704, 189,792, 210,880

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

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 1

Divisible by 4Yes

Divisible by 5No, remainder 3

Divisible by 6No, remainder 4

Divisible by 7No, remainder 4

Divisible by 8Yes

Divisible by 9No, remainder 1

Divisible by 10No, remainder 8

Divisible by 11No, remainder 1

Divisible by 12No, remainder 4

Divisible by 100No, remainder 88

Collatz (3n + 1) trajectory

Steps to reach 156the total stopping time

Highest value reached21,088

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

First steps21,088 → 10,544 → 5,272 → 2,636 → 1,318 → 659 → 1,978 → 989 → 2,968 → 1,484 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage2,108,800%

21,088% as a decimal210.88

21,088% of 10021,088

21,088% of 1,000210,880

As a fraction of 10021,088/100

Read another way

As seconds5 hours, 51 minutes and 28 seconds

As bytes20.594 KiB

As a 24-bit colour#005260

Keep nerding

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