Number

1,023

Positive
Odd
Composite
4 digits

1,023 is an odd 4-digit integer and a composite number. It has 8 divisors and a digital root of 6.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value1,023

Digit count4

Digit sum6

Digital root6repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation3 × 11 × 31

Distinct prime factors33, 11, 31

Number of divisors8

Sum of divisors σ(n)1,536

Aliquot sum513sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)600integers below n that share no factor with it

SquarefreeYesno repeated prime factor

All divisors1, 3, 11, 31, 33, 93, 341, 1,0238 in total

Arithmetic

Previous number1,022

Next number1,024

Double2,046

Half511.5

Square1,046,529

Cube1,070,599,167

Square root31.984371183≈irrational, shown to 9 decimal places

Cube root10.076086286≈

Negation-1,023

Reciprocal0.0009775171≈

Representations

Decimal1,023

Binary111111111110 bits

Octal1777

Hexadecimal3FF

Base 36SF

Roman numeralMXXIII

In wordsone thousand and twenty-three

Ordinalone thousand and twenty-third

Scientific notation1.023 × 10^3

Engineering notation1.023 × 10^3

Nearest landmarks

Next prime1,031+8

Previous prime1,021−2

Distance to nearest prime2

Nearest square below961

Nearest square above1,024

Powers & multiples

1,023 to the power 21,046,529

1,023 to the power 31,070,599,167

1,023 to the power 41,095,222,947,841

1,023 to the power 51,120,413,075,641,343

First ten multiples1,023, 2,046, 3,069, 4,092, 5,115, 6,138, 7,161, 8,184, 9,207, 10,230

Powers of twoBetween 2^9 (512) and 2^10 (1,024)

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3Yes

Divisible by 4No, remainder 3

Divisible by 5No, remainder 3

Divisible by 6No, remainder 3

Divisible by 7No, remainder 1

Divisible by 8No, remainder 7

Divisible by 9No, remainder 6

Divisible by 10No, remainder 3

Divisible by 11Yes

Divisible by 12No, remainder 3

Divisible by 100No, remainder 23

Collatz (3n + 1) trajectory

Steps to reach 162the total stopping time

Highest value reached118,096115× the starting value

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

First steps1,023 → 3,070 → 1,535 → 4,606 → 2,303 → 6,910 → 3,455 → 10,366 → 5,183 → 15,550 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage102,300%

1,023% as a decimal10.23

1,023% of 1001,023

1,023% of 1,00010,230

As a fraction of 1001,023/100

Read another way

As seconds17 minutes and 3 seconds

As bytes1,023 B

As a year1023 AD

As a 24-bit colour#0003FF

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Neighbouring numbers

Derived from 1,023

Nearby primes

1023 (year)

Common year
365 days
11th century
Pig

1023 was a common year of 365 days. It began on a Wednesday and ended on a Wednesday. Easter Sunday fell on 20 April.

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Structure of the year

Leap yearNonot divisible by 4

Days in the year365

Weeks in the year52ISO 8601 weeks; 28 December is always in the final week

Days in February28

1 January fell on aWednesday

31 December fell on aWednesday

Century11th century

Decade1020s

Chinese zodiacPig

Easter Sunday20 April

Months of 1023

January31 days, starts Wednesday

February28 days, starts Saturday

March31 days, starts Saturday

April30 days, starts Tuesday

May31 days, starts Thursday

June30 days, starts Sunday

July31 days, starts Tuesday

August31 days, starts Friday

September30 days, starts Monday

October31 days, starts Wednesday

November30 days, starts Saturday

December31 days, starts Monday

Time references

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

Unix timestamp at the start-29,884,464,000

Unix timestamp at the end-29,852,928,001

Years from now1,003 years ago

Days from today366,590 days since 1 January

The number 1023

As a number1,023

In wordsone thousand and twenty-three

Roman numeralsMXXIII

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Neighbouring years

Key dates

Also reads as

#110022 (colour)

#110022
Violet
Dark
Nearest: Black

#110022 is a violet with RGB values 17, 0, 34 and HSL 270°, 100%, 7%. It is a dark colour, so white text on it reaches 20.1:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#110022#110022

HEX#110022

HEX (short)#102

RGBrgb(17, 0, 34)

RGB (0–1)0.0667, 0, 0.1333

RGB percentages6.7%, 0%, 13.3%

HSLhsl(270, 100%, 6.7%)

HSV / HSBhsv(270, 100%, 13.3%)

CMYK50%, 100%, 0%, 86.7%≈naive device-independent conversion; real print needs an ICC profile

24-bit integer1,114,146

CSS custom property--colour: #110022;

Brightness & contrast

Relative luminance0.00235WCAG 2.x, 0 is black and 1 is white

Perceived brightness14.8 of 255ITU-R BT.601 weighting

Light or darkDark

Best text colour on this backgroundWhitecontrast 20.06:1

Contrast with white20.06:1WCAG normal text: AAA

Contrast with black1.05:1WCAG normal text: Fail

Greyscale equivalent#060606

Inverted#EEFFDD

Colour vision & accessibility

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#000723no red cones; affects about 1% of men; ΔE 7.3 from the original

Deuteranopia#000821no green cones; the most common form, about 1% of men; ΔE 8.5 from the original

Tritanopia#0D060Fno blue cones; rare, and affects men and women equally; ΔE 16.6 from the original

Distinguishable without hueYesnever rely on hue alone to carry meaning

Contrast with white, large text20.06:1WCAG large text: AAA

Contrast with black, large text1.05:1WCAG large text: Fail

Named colours

Black · ΔE 21 Dark slate grey · ΔE 40 Midnight blue · ΔE 40.4 Dark slateblue · ΔE 40.6 Dim grey · ΔE 47.2 Rebecca purple · ΔE 52.9

Nearest named CSS colourBlack (#000000)ΔE 21.03, a distinctly different colour

Hue familyviolet

CSS keyword usableNo exact keyword

Colour harmonies

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

Complementary#112200

Analogous#000022, #220022

Triadic#221100, #002211

Split complementary#222200, #002200

Tetradic#220000, #112200, #002222

Tints, shades & saturation

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

Lighter +40%#7700EE

Lighter +30%#5E00BB

Lighter +20%#440088

Lighter +10%#2B0055

Darker −10%#000000

Darker −20%#000000

Darker −30%#000000

Darker −40%#000000

More saturated +25%#110022

Less saturated −25%#11041E

Channel breakdown

R17

B34

Red17 (6.7%)

Green0 (0%)

Blue34 (13.3%)

Hue270°

Saturation (HSL)100%

Lightness6.67%

Dominant channelBlue

Hex per channelR 11 · G 00 · B 22

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1,023

Number properties

Factors & divisors

Arithmetic

Representations

Nearest landmarks

Powers & multiples

Divisibility tests

Collatz (3n + 1) trajectory

As a percentage & fraction

Read another way

Keep nerding

Neighbouring numbers

Derived from 1,023

Nearby primes

Other readings

1023 (year)

Structure of the year

Months of 1023

Time references

The number 1023

Keep nerding

Neighbouring years

Key dates

#110022 (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

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