Number

31,984

Positive
Even
Composite
5 digits

31,984 is an even 5-digit integer and a composite number. It has 10 divisors and a digital root of 7.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value31,984

Digit count5

Digit sum25

Digital root7repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^4 × 1,999

Distinct prime factors22, 1,999

Number of divisors10

Sum of divisors σ(n)62,000

Aliquot sum30,016sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)15,984integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 8, 16, 1,999, 3,998, 7,996, 15,992, 31,98410 in total

Arithmetic

Previous number31,983

Next number31,985

Double63,968

Half15,992

Square1,022,976,256

Cube32,718,872,571,904

Square root178.840711249≈irrational, shown to 9 decimal places

Cube root31.74272882≈

Negation-31,984

Reciprocal0.0000312656≈

Representations

Decimal31,984

Binary11111001111000015 bits

Octal76360

Hexadecimal7CF0

Base 36OOG

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

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

Ordinalthirty-one thousand, nine hundred and eighty-fourth

Scientific notation3.1984 × 10^4

Engineering notation31.984 × 10^3

Nearest landmarks

Next prime31,991+7

Previous prime31,981−3

Distance to nearest prime3

Nearest square below31,684

Nearest square above32,041

Powers & multiples

31,984 to the power 21,022,976,256

31,984 to the power 332,718,872,571,904

31,984 to the power 41,046,480,420,339,777,536

31,984 to the power 533,470,629,764,147,444,711,424

First ten multiples31,984, 63,968, 95,952, 127,936, 159,920, 191,904, 223,888, 255,872, 287,856, 319,840

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

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 1

Divisible by 4Yes

Divisible by 5No, remainder 4

Divisible by 6No, remainder 4

Divisible by 7No, remainder 1

Divisible by 8Yes

Divisible by 9No, remainder 7

Divisible by 10No, remainder 4

Divisible by 11No, remainder 7

Divisible by 12No, remainder 4

Divisible by 100No, remainder 84

Collatz (3n + 1) trajectory

Steps to reach 154the total stopping time

Highest value reached31,984

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

First steps31,984 → 15,992 → 7,996 → 3,998 → 1,999 → 5,998 → 2,999 → 8,998 → 4,499 → 13,498 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage3,198,400%

31,984% as a decimal319.84

31,984% of 10031,984

31,984% of 1,000319,840

As a fraction of 10031,984/100

Read another way

As seconds8 hours, 53 minutes and 4 seconds

As bytes31.234 KiB

As a 24-bit colour#007CF0

Keep nerding

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