Number

27,027

Positive
Odd
Composite
5 digits

27,027 is an odd 5-digit integer and a composite number. It has 32 divisors and a digital root of 9.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value27,027

Digit count5

Digit sum18

Digital root9repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation3^3 × 7 × 11 × 13

Distinct prime factors43, 7, 11, 13

Number of divisors32

Sum of divisors σ(n)53,760

Aliquot sum26,733sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)12,960integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 3, 7, 9, 11, 13, 21, 27, 33, 39, 63, 77, 91, 99, 117, 143, 189, 231, 273, 297, 351, 429, 693, 819, 1,001, 1,287, 2,079, 2,457, 3,003, 3,861, 9,009, 27,02732 in total

Arithmetic

Previous number27,026

Next number27,028

Double54,054

Half13,513.5

Square730,458,729

Cube19,742,108,068,683

Square root164.398905106≈irrational, shown to 9 decimal places

Cube root30.009996669≈

Negation-27,027

Reciprocal0.000037≈

Representations

Decimal27,027

Binary11010011001001115 bits

Octal64623

Hexadecimal6993

Base 36KUR

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

In wordstwenty-seven thousand and twenty-seven

Ordinaltwenty-seven thousand and twenty-seventh

Scientific notation2.7027 × 10^4

Engineering notation27.027 × 10^3

Nearest landmarks

Next prime27,031+4

Previous prime27,017−10

Distance to nearest prime4

Nearest square below26,896

Nearest square above27,225

Powers & multiples

27,027 to the power 2730,458,729

27,027 to the power 319,742,108,068,683

27,027 to the power 4533,569,954,772,295,441

27,027 to the power 514,420,795,167,630,828,883,907

First ten multiples27,027, 54,054, 81,081, 108,108, 135,135, 162,162, 189,189, 216,216, 243,243, 270,270

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

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3Yes

Divisible by 4No, remainder 3

Divisible by 5No, remainder 2

Divisible by 6No, remainder 3

Divisible by 7Yes

Divisible by 8No, remainder 3

Divisible by 9Yes

Divisible by 10No, remainder 7

Divisible by 11Yes

Divisible by 12No, remainder 3

Divisible by 100No, remainder 27

Collatz (3n + 1) trajectory

Steps to reach 138the total stopping time

Highest value reached121,6244× the starting value

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

First steps27,027 → 81,082 → 40,541 → 121,624 → 60,812 → 30,406 → 15,203 → 45,610 → 22,805 → 68,416 → …

Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage2,702,700%

27,027% as a decimal270.27

27,027% of 10027,027

27,027% of 1,000270,270

As a fraction of 10027,027/100

Read another way

As seconds7 hours, 30 minutes and 27 seconds

As bytes26.394 KiB

As a 24-bit colour#006993

Keep nerding

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