Number

27,272

Positive
Even
Composite
5 digits

27,272 is an even 5-digit integer and a composite number. It has 16 divisors and a digital root of 2.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value27,272

Digit count5

Digit sum20

Digital root2repeated digit sum

PalindromicYesreads the same backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^3 × 7 × 487

Distinct prime factors32, 7, 487

Number of divisors16

Sum of divisors σ(n)58,560

Aliquot sum31,288sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)11,664integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 7, 8, 14, 28, 56, 487, 974, 1,948, 3,409, 3,896, 6,818, 13,636, 27,27216 in total

Arithmetic

Previous number27,271

Next number27,273

Double54,544

Half13,636

Square743,761,984

Cube20,283,876,827,648

Square root165.142362827≈irrational, shown to 9 decimal places

Cube root30.100404332≈

Negation-27,272

Reciprocal0.0000366676≈

Representations

Decimal27,272

Binary11010101000100015 bits

Octal65210

Hexadecimal6A88

Base 36L1K

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

In wordstwenty-seven thousand, two hundred and seventy-two

Ordinaltwenty-seven thousand, two hundred and seventy-second

Scientific notation2.7272 × 10^4

Engineering notation27.272 × 10^3

Nearest landmarks

Next prime27,277+5

Previous prime27,271−1

Distance to nearest prime1

Nearest square below27,225

Nearest square above27,556

Powers & multiples

27,272 to the power 2743,761,984

27,272 to the power 320,283,876,827,648

27,272 to the power 4553,181,888,843,616,256

27,272 to the power 515,086,376,472,543,102,533,632

First ten multiples27,272, 54,544, 81,816, 109,088, 136,360, 163,632, 190,904, 218,176, 245,448, 272,720

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 7Yes

Divisible by 8Yes

Divisible by 9No, remainder 2

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 1139the total stopping time

Highest value reached41,5241× the starting value

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

First steps27,272 → 13,636 → 6,818 → 3,409 → 10,228 → 5,114 → 2,557 → 7,672 → 3,836 → 1,918 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage2,727,200%

27,272% as a decimal272.72

27,272% of 10027,272

27,272% of 1,000272,720

As a fraction of 10027,272/100

Read another way

As seconds7 hours, 34 minutes and 32 seconds

As bytes26.633 KiB

As a 24-bit colour#006A88

Keep nerding

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