Number

20,142

Positive
Even
Composite
5 digits

20,142 is an even 5-digit integer and a composite number. It has 16 divisors and a digital root of 9.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value20,142

Digit count5

Digit sum9

Digital root9repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 3^3 × 373

Distinct prime factors32, 3, 373

Number of divisors16

Sum of divisors σ(n)44,880

Aliquot sum24,738sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)6,696integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 6, 9, 18, 27, 54, 373, 746, 1,119, 2,238, 3,357, 6,714, 10,071, 20,14216 in total

Arithmetic

Previous number20,141

Next number20,143

Double40,284

Half10,071

Square405,700,164

Cube8,171,612,703,288

Square root141.92251407≈irrational, shown to 9 decimal places

Cube root27.208265942≈

Negation-20,142

Reciprocal0.0000496475≈

Representations

Decimal20,142

Binary10011101010111015 bits

Octal47256

Hexadecimal4EAE

Base 36FJI

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

In wordstwenty thousand, one hundred and forty-two

Ordinaltwenty thousand, one hundred and forty-second

Scientific notation2.0142 × 10^4

Engineering notation20.142 × 10^3

Nearest landmarks

Next prime20,143+1

Previous prime20,129−13

Distance to nearest prime1

Nearest square below19,881

Nearest square above20,164

Powers & multiples

20,142 to the power 2405,700,164

20,142 to the power 38,171,612,703,288

20,142 to the power 4164,592,623,069,626,896

20,142 to the power 53,315,224,613,868,424,939,232

First ten multiples20,142, 40,284, 60,426, 80,568, 100,710, 120,852, 140,994, 161,136, 181,278, 201,420

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

Divisibility tests

Divisible by 2Yes

Divisible by 3Yes

Divisible by 4No, remainder 2

Divisible by 5No, remainder 2

Divisible by 6Yes

Divisible by 7No, remainder 3

Divisible by 8No, remainder 6

Divisible by 9Yes

Divisible by 10No, remainder 2

Divisible by 11No, remainder 1

Divisible by 12No, remainder 6

Divisible by 100No, remainder 42

Collatz (3n + 1) trajectory

Steps to reach 1136the total stopping time

Highest value reached67,9843× the starting value

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

First steps20,142 → 10,071 → 30,214 → 15,107 → 45,322 → 22,661 → 67,984 → 33,992 → 16,996 → 8,498 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage2,014,200%

20,142% as a decimal201.42

20,142% of 10020,142

20,142% of 1,000201,420

As a fraction of 10020,142/100

Read another way

As seconds5 hours, 35 minutes and 42 seconds

As bytes19.67 KiB

As a 24-bit colour#004EAE

Keep nerding

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