Recognised as Number

2,018

Positive
Even
Composite
4 digits

2,018 is an even 4-digit integer and a composite number. It has 4 divisors and a digital root of 2.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value2,018

Digit count4

Digit sum11

Digit product0zero, because one of the digits is zero

Multiplicative persistence1times the digit product can be taken before one digit is left

Digital root2repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 1,009

Distinct prime factors22, 1,009

Number of divisors4

Sum of divisors σ(n)3,030

Aliquot sum1,012sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)1,008integers below n that share no factor with it

Carmichael function λ(n)1,008the smallest exponent with aˣ ≡ 1 for every unit coprime to n

Möbius function μ(n)+12 distinct prime factors, an even number of them

SquarefreeYesno repeated prime factor

All divisors1, 2, 1,009, 2,0184 in total

Arithmetic

Previous number2,017

Next number2,019

Double4,036

Half1,009

Square4,072,324

Cube8,217,949,832

Square root44.92215489≈irrational, shown to 9 decimal places

Cube root12.636895301≈

Negation-2,018

Reciprocal0.0004955401≈

Representations

Decimal2,018

Binary1111110001011 bits

Octal3742

Hexadecimal7E2

Base 361K2

Roman numeralMMXVIII

In wordstwo thousand and eighteen

Ordinaltwo thousand and eighteenth

Scientific notation2.018 × 10^3

Engineering notation2.018 × 10^3

In other bases

Ternary2202202base 3; the most digit-efficient integer base after e: 7 digits

Quinary31033base 5; one hand: 5 digits

Septenary5612base 7: 4 digits

Nonary2682base 9; each digit is two ternary digits: 4 digits

Duodecimal1202base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits

Vigesimal50ibase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits

Sexagesimal33:38base 60; Babylonian, and still how an hour and a circle are divided: 2 digits

Balanced ternary10T10T1Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary1100000100110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0000011111100010

Bit length11 bitsto write the magnitude

Set bits7the population count, or Hamming weight

Zero bits4within that length

Bit parityodd7 set bits, so odd; not the same as the number itself being even

Highest set bitbit 10worth 1,024

Lowest set bitbit 11 trailing zero

Power of twoNo

Bytes207 e2

Gray code10000010011n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0000011111100010

32-bit00000000000000000000011111100010

64-bit0000000000000000000000000000000000000000000000000000011111100010

One's complement1111100000011101at 16 bits, every bit flipped

Bits reversed0100011111100000at 16 bits

Rotated left by 10000111111000100at 16 bits, wrapping

Shifted left by 1111111000100= 4,036, no wrap

Shifted right by 11111110001= 1,009, discarding the low bit

These bits as a double9.97024473 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime2,027+9

Previous prime2,017−1

Distance to nearest prime1

Nearest square below1,936

Nearest square above2,025

Powers & multiples

2,018 to the power 24,072,324

2,018 to the power 38,217,949,832

2,018 to the power 416,583,822,760,976

2,018 to the power 533,466,154,331,649,568

First ten multiples2,018, 4,036, 6,054, 8,072, 10,090, 12,108, 14,126, 16,144, 18,162, 20,180

Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 2

Divisible by 4No, remainder 2

Divisible by 5No, remainder 3

Divisible by 6No, remainder 2

Divisible by 7No, remainder 2

Divisible by 8No, remainder 2

Divisible by 9No, remainder 2

Divisible by 10No, remainder 8

Divisible by 11No, remainder 5

Divisible by 12No, remainder 2

Divisible by 100No, remainder 18

Collatz (3n + 1) trajectory

Steps to reach 1112the total stopping time

Highest value reached9,2324× the starting value

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

First steps2,018 → 1,009 → 3,028 → 1,514 → 757 → 2,272 → 1,136 → 568 → 284 → 142 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage201,800%

2,018% as a decimal20.18

2,018% of 1002,018

2,018% of 1,00020,180

As a fraction of 1002,018/100

Read another way

As seconds33 minutes and 38 seconds

As bytes1.971 KiB

As a year2018 AD

As a 24-bit colour#0007E2

Keep nerding

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

Neighbouring numbers

Derived from 2,018

Nearby primes

2018 (year)

Common year
365 days
21st century
Dog

2018 was a common year of 365 days. It began on a Monday and ended on a Monday. Easter Sunday fell on 1 April.

Open this reading on its own page →

Structure of the year

Leap yearNonot divisible by 4

Days in the year365

Days in February28

1 January fell on aMonday

31 December fell on aMonday

Century21st century

Decade2010s

Chinese zodiacDog

Easter Sunday1 April

Patterns forced by the calendar

Weekday counts52 of each, plus an extra Monday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on

Sundays52

Mondays53one of the extras

Tuesdays52

Wednesdays52

Thursdays52

Fridays52

Saturdays52

Friday the 13th2 of them13 April, 13 July

ISO weeks52an ordinary 52-week year

Same calendar as2007the most recent year whose calendar is identical, so a printed one could be reused

Calendar repeats in2029, 2035, 204611 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year

Months of 2018

January31 days, starts Monday

February28 days, starts Thursday

March31 days, starts Thursday

April30 days, starts Sunday

May31 days, starts Tuesday

June30 days, starts Friday

July31 days, starts Sunday

August31 days, starts Wednesday

September30 days, starts Saturday

October31 days, starts Monday

November30 days, starts Thursday

December31 days, starts Saturday

Time references

These values depend on today’s date and change daily.

Unix timestamp at the start1,514,764,800

Unix timestamp at the end1,546,300,799

Years from now8 years ago

Days from today3,180 days since 1 January

The number 2018

As a number2,018

In wordstwo thousand and eighteen

Roman numeralsMMXVIII

Keep nerding

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

Neighbouring years

Key dates

Also reads as

#220011 (colour)

#220011
Red
Dark
Nearest: Black

#220011 is a red with RGB values 34, 0, 17 and HSL 330°, 100%, 7%. It is a dark colour, so white text on it reaches 19.5:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#220011#220011

HEX#220011

HEX (short)#201

RGBrgb(34, 0, 17)

RGB (0–1)0.1333, 0, 0.0667

RGB percentages13.3%, 0%, 6.7%

HSLhsl(330, 100%, 6.7%)

HSV / HSBhsv(330, 100%, 13.3%)

CMYK0%, 100%, 50%, 86.7%≈naive device-independent conversion; real print needs an ICC profile

24-bit integer2,228,241

CSS custom property--colour: #220011;

Brightness & contrast

Relative luminance0.00381WCAG 2.x, 0 is black and 1 is white

Perceived brightness19.5 of 255ITU-R BT.601 weighting

Light or darkDark

Best text colour on this backgroundWhitecontrast 19.51:1

Contrast with white19.51:1WCAG normal text: AAA

Contrast with black1.08:1WCAG normal text: Fail

Greyscale equivalent#080808

Inverted#DDFFEE

Colour vision & accessibility

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#040812no red cones; affects about 1% of men; ΔE 16 from the original

Deuteranopia#0F0F10no green cones; the most common form, about 1% of men; ΔE 16.3 from the original

Tritanopia#260006no blue cones; rare, and affects men and women equally; ΔE 5.9 from the original

Distinguishable without hueYesnever rely on hue alone to carry meaning

Contrast with white, large text19.51:1WCAG large text: AAA

Contrast with black, large text1.08:1WCAG large text: Fail

Named colours

Black · ΔE 16.8 Dark slate grey · ΔE 39.5 Dim grey · ΔE 44.2 Dark slateblue · ΔE 49.4 Midnight blue · ΔE 51.4 Gray · ΔE 52.8

Nearest named CSS colourBlack (#000000)ΔE 16.84, a distinctly different colour

Hue familyred

CSS keyword usableNo exact keyword

Colour harmonies

base +30°+90°+120°+180°+210°+240°+270°+330°

Complementary#002211

Analogous#220022, #220000

Triadic#112200, #001122

Split complementary#002200, #002222

Tetradic#222200, #002211, #000022

Tints, shades & saturation

+40%+30%+20%+10%base -10%-20%-30%-40%

Lighter +40%#EE0077

Lighter +30%#BB005E

Lighter +20%#880044

Lighter +10%#55002B

Darker −10%#000000

Darker −20%#000000

Darker −30%#000000

Darker −40%#000000

More saturated +25%#220011

Less saturated −25%#1E0411

Channel breakdown

R34

B17

Red34 (13.3%)

Green0 (0%)

Blue17 (6.7%)

Hue330°

Saturation (HSL)100%

Lightness6.67%

Dominant channelRed

Hex per channelR 22 · G 00 · B 11

Keep nerding

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

Number properties

Factors & divisors

Arithmetic

Representations

In other bases

Bit-level

At each machine width

Nearest landmarks

Powers & multiples

Divisibility tests

Collatz (3n + 1) trajectory

As a percentage & fraction

Read another way

Keep nerding

Neighbouring numbers

Derived from 2,018

Nearby primes

Other readings

2018 (year)

Structure of the year

Patterns forced by the calendar

Months of 2018

Time references

The number 2018

Keep nerding

Neighbouring years

Key dates

#220011 (colour)

Colour values

Brightness & contrast

Colour vision & accessibility

Named colours

Colour harmonies

Tints, shades & saturation

Channel breakdown

Keep nerding

Harmonies

Lighter and darker

Similar named colours

Nerdulate something else