Number

1,024

Positive
Even
Composite
Perfect square
4 digits

1,024 is an even 4-digit integer and a composite number. It has 11 divisors and a digital root of 7.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,024

Digit count4

Digit sum7

Digital root7repeated digit sum

PalindromicNoreads differently backwards

Perfect squareYes, 32²

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^10

Distinct prime factors12

Number of divisors11

Sum of divisors σ(n)2,047

Aliquot sum1,023sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1,02411 in total

Arithmetic

Previous number1,023

Next number1,025

Double2,048

Half512

Square1,048,576

Cube1,073,741,824

Square root32exact

Cube root10.079368399≈

Negation-1,024

Reciprocal0.0009765625≈

Representations

Decimal1,024

Binary1000000000011 bits

Octal2000

Hexadecimal400

Base 36SG

Roman numeralMXXIV

In wordsone thousand and twenty-four

Ordinalone thousand and twenty-fourth

Scientific notation1.024 × 10^3

Engineering notation1.024 × 10^3

Nearest landmarks

Next prime1,031+7

Previous prime1,021−3

Distance to nearest prime3

Nearest square below1,024

Nearest square above1,089

Powers & multiples

1,024 to the power 21,048,576

1,024 to the power 31,073,741,824

1,024 to the power 41,099,511,627,776

1,024 to the power 51,125,899,906,842,624

First ten multiples1,024, 2,048, 3,072, 4,096, 5,120, 6,144, 7,168, 8,192, 9,216, 10,240

Powers of twoExactly 2^10

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 2

Divisible by 8Yes

Divisible by 9No, remainder 7

Divisible by 10No, remainder 4

Divisible by 11No, remainder 1

Divisible by 12No, remainder 4

Divisible by 100No, remainder 24

Collatz (3n + 1) trajectory

Steps to reach 110the total stopping time

Highest value reached1,024

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

First steps1,024 → 512 → 256 → 128 → 64 → 32 → 16 → 8 → 4 → 2 → …

Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage102,400%

1,024% as a decimal10.24

1,024% of 1001,024

1,024% of 1,00010,240

As a fraction of 1001,024/100

Read another way

As seconds17 minutes and 4 seconds

As bytes1 KiB

As a year1024 AD

As a 24-bit colour#000400

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Neighbouring numbers

Derived from 1,024

Nearby primes

1024 (year)

Leap year
366 days
11th century
Rat

1024 was a leap year of 366 days. It began on a Thursday and ended on a Friday. Easter Sunday fell on 4 April.

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Structure of the year

Leap yearYesdivisible by 4, and by 400 if divisible by 100

Days in the year366

Weeks in the year53ISO 8601 weeks; 28 December is always in the final week

Days in February29

1 January fell on aThursday

31 December fell on aFriday

Century11th century

Decade1020s

Chinese zodiacRat

Easter Sunday4 April

Months of 1024

January31 days, starts Thursday

February29 days, starts Sunday

March31 days, starts Monday

April30 days, starts Thursday

May31 days, starts Saturday

June30 days, starts Tuesday

July31 days, starts Thursday

August31 days, starts Sunday

September30 days, starts Wednesday

October31 days, starts Friday

November30 days, starts Monday

December31 days, starts Wednesday

Time references

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

Unix timestamp at the start-29,852,928,000

Unix timestamp at the end-29,821,305,601

Years from now1,002 years ago

Days from today366,225 days since 1 January

The number 1024

As a number1,024

In wordsone thousand and twenty-four

Roman numeralsMXXIV

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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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1,024

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 1,024

Nearby primes

Other readings

1024 (year)

Structure of the year

Months of 1024

Time references

The number 1024

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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