Number

16,009

Positive
Odd
Composite
5 digits

16,009 is an odd 5-digit integer and a composite number. It has 4 divisors and a digital root of 7.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value16,009

Digit count5

Digit sum16

Digital root7repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation7 × 2,287

Distinct prime factors27, 2,287

Number of divisors4

Sum of divisors σ(n)18,304

Aliquot sum2,295sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)13,716integers below n that share no factor with it

SquarefreeYesno repeated prime factor

All divisors1, 7, 2,287, 16,0094 in total

Arithmetic

Previous number16,008

Next number16,010

Double32,018

Half8,004.5

Square256,288,081

Cube4,102,915,888,729

Square root126.526677029≈irrational, shown to 9 decimal places

Cube root25.203144816≈

Negation-16,009

Reciprocal0.0000624649≈

Representations

Decimal16,009

Binary1111101000100114 bits

Octal37211

Hexadecimal3E89

Base 36CCP

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

In wordssixteen thousand and nine

Ordinalsixteen thousand and ninth

Scientific notation1.6009 × 10^4

Engineering notation16.009 × 10^3

Nearest landmarks

Next prime16,033+24

Previous prime16,007−2

Distance to nearest prime2

Nearest square below15,876

Nearest square above16,129

Powers & multiples

16,009 to the power 2256,288,081

16,009 to the power 34,102,915,888,729

16,009 to the power 465,683,580,462,662,561

16,009 to the power 51,051,528,439,626,764,939,049

First ten multiples16,009, 32,018, 48,027, 64,036, 80,045, 96,054, 112,063, 128,072, 144,081, 160,090

Powers of twoBetween 2^13 (8,192) and 2^14 (16,384)

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3No, remainder 1

Divisible by 4No, remainder 1

Divisible by 5No, remainder 4

Divisible by 6No, remainder 1

Divisible by 7Yes

Divisible by 8No, remainder 1

Divisible by 9No, remainder 7

Divisible by 10No, remainder 9

Divisible by 11No, remainder 4

Divisible by 12No, remainder 1

Divisible by 100No, remainder 9

Collatz (3n + 1) trajectory

Steps to reach 171the total stopping time

Highest value reached153,8809× the starting value

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

First steps16,009 → 48,028 → 24,014 → 12,007 → 36,022 → 18,011 → 54,034 → 27,017 → 81,052 → 40,526 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage1,600,900%

16,009% as a decimal160.09

16,009% of 10016,009

16,009% of 1,000160,090

As a fraction of 10016,009/100

Read another way

As seconds4 hours, 26 minutes and 49 seconds

As bytes15.634 KiB

As a 24-bit colour#003E89

Keep nerding

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