Number

35,984

Positive
Even
Composite
5 digits

35,984 is an even 5-digit integer and a composite number. It has 20 divisors and a digital root of 2.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value35,984

Digit count5

Digit sum29

Digital root2repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^4 × 13 × 173

Distinct prime factors32, 13, 173

Number of divisors20

Sum of divisors σ(n)75,516

Aliquot sum39,532sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)16,512integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 8, 13, 16, 26, 52, 104, 173, 208, 346, 692, 1,384, 2,249, 2,768, 4,498, 8,996, 17,992, 35,98420 in total

Arithmetic

Previous number35,983

Next number35,985

Double71,968

Half17,992

Square1,294,848,256

Cube46,593,819,643,904

Square root189.694491222≈irrational, shown to 9 decimal places

Cube root33.01438002≈

Negation-35,984

Reciprocal0.0000277901≈

Representations

Decimal35,984

Binary100011001001000016 bits

Octal106220

Hexadecimal8C90

Base 36RRK

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

In wordsthirty-five thousand, nine hundred and eighty-four

Ordinalthirty-five thousand, nine hundred and eighty-fourth

Scientific notation3.5984 × 10^4

Engineering notation35.984 × 10^3

Nearest landmarks

Next prime35,993+9

Previous prime35,983−1

Distance to nearest prime1

Nearest square below35,721

Nearest square above36,100

Powers & multiples

35,984 to the power 21,294,848,256

35,984 to the power 346,593,819,643,904

35,984 to the power 41,676,632,006,066,241,536

35,984 to the power 560,331,926,106,287,635,431,424

First ten multiples35,984, 71,968, 107,952, 143,936, 179,920, 215,904, 251,888, 287,872, 323,856, 359,840

Powers of twoBetween 2^15 (32,768) and 2^16 (65,536)

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 2

Divisible by 4Yes

Divisible by 5No, remainder 4

Divisible by 6No, remainder 2

Divisible by 7No, remainder 4

Divisible by 8Yes

Divisible by 9No, remainder 2

Divisible by 10No, remainder 4

Divisible by 11No, remainder 3

Divisible by 12No, remainder 8

Divisible by 100No, remainder 84

Collatz (3n + 1) trajectory

Steps to reach 149the total stopping time

Highest value reached35,984

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

First steps35,984 → 17,992 → 8,996 → 4,498 → 2,249 → 6,748 → 3,374 → 1,687 → 5,062 → 2,531 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage3,598,400%

35,984% as a decimal359.84

35,984% of 10035,984

35,984% of 1,000359,840

As a fraction of 10035,984/100

Read another way

As seconds9 hours, 59 minutes and 44 seconds

As bytes35.141 KiB

As a 24-bit colour#008C90

Keep nerding

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