Number

21,624

Positive
Even
Composite
5 digits

21,624 is an even 5-digit integer and a composite number. It has 32 divisors and a digital root of 6.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value21,624

Digit count5

Digit sum15

Digital root6repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^3 × 3 × 17 × 53

Distinct prime factors42, 3, 17, 53

Number of divisors32

Sum of divisors σ(n)58,320

Aliquot sum36,696sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)6,656integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 53, 68, 102, 106, 136, 159, 204, 212, 318, 408, 424, 636, 901, 1,272, 1,802, 2,703, 3,604, 5,406, 7,208, 10,812, 21,62432 in total

Arithmetic

Previous number21,623

Next number21,625

Double43,248

Half10,812

Square467,597,376

Cube10,111,325,658,624

Square root147.051011557≈irrational, shown to 9 decimal places

Cube root27.859843826≈

Negation-21,624

Reciprocal0.0000462449≈

Representations

Decimal21,624

Binary10101000111100015 bits

Octal52170

Hexadecimal5478

Base 36GOO

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

In wordstwenty-one thousand, six hundred and twenty-four

Ordinaltwenty-one thousand, six hundred and twenty-fourth

Scientific notation2.1624 × 10^4

Engineering notation21.624 × 10^3

Nearest landmarks

Next prime21,647+23

Previous prime21,617−7

Distance to nearest prime7

Nearest square below21,609

Nearest square above21,904

Powers & multiples

21,624 to the power 2467,597,376

21,624 to the power 310,111,325,658,624

21,624 to the power 4218,647,306,042,085,376

21,624 to the power 54,728,029,345,854,054,170,624

First ten multiples21,624, 43,248, 64,872, 86,496, 108,120, 129,744, 151,368, 172,992, 194,616, 216,240

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

Divisibility tests

Divisible by 2Yes

Divisible by 3Yes

Divisible by 4Yes

Divisible by 5No, remainder 4

Divisible by 6Yes

Divisible by 7No, remainder 1

Divisible by 8Yes

Divisible by 9No, remainder 6

Divisible by 10No, remainder 4

Divisible by 11No, remainder 9

Divisible by 12Yes

Divisible by 100No, remainder 24

Collatz (3n + 1) trajectory

Steps to reach 1162the total stopping time

Highest value reached27,3761× the starting value

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

First steps21,624 → 10,812 → 5,406 → 2,703 → 8,110 → 4,055 → 12,166 → 6,083 → 18,250 → 9,125 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage2,162,400%

21,624% as a decimal216.24

21,624% of 10021,624

21,624% of 1,000216,240

As a fraction of 10021,624/100

Read another way

As seconds6 hours and 24 seconds

As bytes21.117 KiB

As a 24-bit colour#005478

Keep nerding

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