Number

20,672

Positive
Even
Composite
5 digits

20,672 is an even 5-digit integer and a composite number. It has 28 divisors and a digital root of 8.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value20,672

Digit count5

Digit sum17

Digital root8repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^6 × 17 × 19

Distinct prime factors32, 17, 19

Number of divisors28

Sum of divisors σ(n)45,720

Aliquot sum25,048sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)9,216integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 64, 68, 76, 136, 152, 272, 304, 323, 544, 608, 646, 1,088, 1,216, 1,292, 2,584, 5,168, 10,336, 20,67228 in total

Arithmetic

Previous number20,671

Next number20,673

Double41,344

Half10,336

Square427,331,584

Cube8,833,798,504,448

Square root143.777606045≈irrational, shown to 9 decimal places

Cube root27.444848143≈

Negation-20,672

Reciprocal0.0000483746≈

Representations

Decimal20,672

Binary10100001100000015 bits

Octal50300

Hexadecimal50C0

Base 36FY8

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

In wordstwenty thousand, six hundred and seventy-two

Ordinaltwenty thousand, six hundred and seventy-second

Scientific notation2.0672 × 10^4

Engineering notation20.672 × 10^3

Nearest landmarks

Next prime20,681+9

Previous prime20,663−9

Distance to nearest prime9

Nearest square below20,449

Nearest square above20,736

Powers & multiples

20,672 to the power 2427,331,584

20,672 to the power 38,833,798,504,448

20,672 to the power 4182,612,282,683,949,056

20,672 to the power 53,774,961,107,642,594,885,632

First ten multiples20,672, 41,344, 62,016, 82,688, 103,360, 124,032, 144,704, 165,376, 186,048, 206,720

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 2

Divisible by 6No, remainder 2

Divisible by 7No, remainder 1

Divisible by 8Yes

Divisible by 9No, remainder 8

Divisible by 10No, remainder 2

Divisible by 11No, remainder 3

Divisible by 12No, remainder 8

Divisible by 100No, remainder 72

Collatz (3n + 1) trajectory

Steps to reach 1105the total stopping time

Highest value reached20,672

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

First steps20,672 → 10,336 → 5,168 → 2,584 → 1,292 → 646 → 323 → 970 → 485 → 1,456 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage2,067,200%

20,672% as a decimal206.72

20,672% of 10020,672

20,672% of 1,000206,720

As a fraction of 10020,672/100

Read another way

As seconds5 hours, 44 minutes and 32 seconds

As bytes20.188 KiB

As a 24-bit colour#0050C0

Keep nerding

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