Number

31,000

Positive
Even
Composite
5 digits

31,000 is an even 5-digit integer and a composite number. It has 32 divisors and a digital root of 4.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value31,000

Digit count5

Digit sum4

Digital root4repeated digit sum

PalindromicNoreads differently backwards

Happy numberYessquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^3 × 5^3 × 31

Distinct prime factors32, 5, 31

Number of divisors32

Sum of divisors σ(n)74,880

Aliquot sum43,880sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)12,000integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 5, 8, 10, 20, 25, 31, 40, 50, 62, 100, 124, 125, 155, 200, 248, 250, 310, 500, 620, 775, 1,000, 1,240, 1,550, 3,100, 3,875, 6,200, 7,750, 15,500, 31,00032 in total

Arithmetic

Previous number30,999

Next number31,001

Double62,000

Half15,500

Square961,000,000

Cube29,791,000,000,000

Square root176.068168617≈irrational, shown to 9 decimal places

Cube root31.413806524≈

Negation-31,000

Reciprocal0.0000322581≈

Representations

Decimal31,000

Binary11110010001100015 bits

Octal74430

Hexadecimal7918

Base 36NX4

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

In wordsthirty-one thousand

Ordinalthirty-one thousandth

Scientific notation3.1 × 10^4

Engineering notation31 × 10^3

Nearest landmarks

Next prime31,013+13

Previous prime30,983−17

Distance to nearest prime13

Nearest square below30,976

Nearest square above31,329

Powers & multiples

31,000 to the power 2961,000,000

31,000 to the power 329,791,000,000,000

31,000 to the power 4923,521,000,000,000,000

31,000 to the power 528,629,151,000,000,000,000,000

First ten multiples31,000, 62,000, 93,000, 124,000, 155,000, 186,000, 217,000, 248,000, 279,000, 310,000

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 5Yes

Divisible by 6No, remainder 4

Divisible by 7No, remainder 4

Divisible by 8Yes

Divisible by 9No, remainder 4

Divisible by 10Yes

Divisible by 11No, remainder 2

Divisible by 12No, remainder 4

Divisible by 100Yes

Collatz (3n + 1) trajectory

Steps to reach 154the total stopping time

Highest value reached31,000

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

First steps31,000 → 15,500 → 7,750 → 3,875 → 11,626 → 5,813 → 17,440 → 8,720 → 4,360 → 2,180 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage3,100,000%

31,000% as a decimal310

31,000% of 10031,000

31,000% of 1,000310,000

As a fraction of 10031,000/100

Read another way

As seconds8 hours, 36 minutes and 40 seconds

As bytes30.273 KiB

As a 24-bit colour#007918

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.