Number

20,736

Positive
Even
Composite
Perfect square
5 digits

20,736 is an even 5-digit integer and a composite number. It has 45 divisors and a digital root of 9.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value20,736

Digit count5

Digit sum18

Digital root9repeated digit sum

PalindromicNoreads differently backwards

Perfect squareYes, 144²

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^8 × 3^4

Distinct prime factors22, 3

Number of divisors45

Sum of divisors σ(n)61,831

Aliquot sum41,095sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)6,912integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 128, 144, 162, 192, 216, 256, 288, 324, 384, 432, 576, 648, 768, 864, 1,152, 1,296, 1,728, 2,304, 2,592, 3,456, 5,184, 6,912, 10,368, 20,73645 in total

Arithmetic

Previous number20,735

Next number20,737

Double41,472

Half10,368

Square429,981,696

Cube8,916,100,448,256

Square root144exact

Cube root27.473141821≈

Negation-20,736

Reciprocal0.0000482253≈

Representations

Decimal20,736

Binary10100010000000015 bits

Octal50400

Hexadecimal5100

Base 36G00

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

In wordstwenty thousand, seven hundred and thirty-six

Ordinaltwenty thousand, seven hundred and thirty-sixth

Scientific notation2.0736 × 10^4

Engineering notation20.736 × 10^3

Nearest landmarks

Next prime20,743+7

Previous prime20,731−5

Distance to nearest prime5

Nearest square below20,736

Nearest square above21,025

Powers & multiples

20,736 to the power 2429,981,696

20,736 to the power 38,916,100,448,256

20,736 to the power 4184,884,258,895,036,416

20,736 to the power 53,833,759,992,447,475,122,176

First ten multiples20,736, 41,472, 62,208, 82,944, 103,680, 124,416, 145,152, 165,888, 186,624, 207,360

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 1

Divisible by 6Yes

Divisible by 7No, remainder 2

Divisible by 8Yes

Divisible by 9Yes

Divisible by 10No, remainder 6

Divisible by 11No, remainder 1

Divisible by 12Yes

Divisible by 100No, remainder 36

Collatz (3n + 1) trajectory

Steps to reach 130the total stopping time

Highest value reached20,736

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

First steps20,736 → 10,368 → 5,184 → 2,592 → 1,296 → 648 → 324 → 162 → 81 → 244 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage2,073,600%

20,736% as a decimal207.36

20,736% of 10020,736

20,736% of 1,000207,360

As a fraction of 10020,736/100

Read another way

As seconds5 hours, 45 minutes and 36 seconds

As bytes20.25 KiB

As a 24-bit colour#005100

Keep nerding

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