Number

1,052

Positive
Even
Composite
4 digits

1,052 is an even 4-digit integer and a composite number. It has 6 divisors and a digital root of 8.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,052

Digit count4

Digit sum8

Digital root8repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 263

Distinct prime factors22, 263

Number of divisors6

Sum of divisors σ(n)1,848

Aliquot sum796sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)524integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 263, 526, 1,0526 in total

Arithmetic

Previous number1,051

Next number1,053

Double2,104

Half526

Square1,106,704

Cube1,164,252,608

Square root32.43454948≈irrational, shown to 9 decimal places

Cube root10.170412785≈

Negation-1,052

Reciprocal0.0009505703≈

Representations

Decimal1,052

Binary1000001110011 bits

Octal2034

Hexadecimal41C

Base 36T8

Roman numeralMLII

In wordsone thousand and fifty-two

Ordinalone thousand and fifty-second

Scientific notation1.052 × 10^3

Engineering notation1.052 × 10^3

Nearest landmarks

Next prime1,061+9

Previous prime1,051−1

Distance to nearest prime1

Nearest square below1,024

Nearest square above1,089

Powers & multiples

1,052 to the power 21,106,704

1,052 to the power 31,164,252,608

1,052 to the power 41,224,793,743,616

1,052 to the power 51,288,483,018,284,032

First ten multiples1,052, 2,104, 3,156, 4,208, 5,260, 6,312, 7,364, 8,416, 9,468, 10,520

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

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 2

Divisible by 4Yes

Divisible by 5No, remainder 2

Divisible by 6No, remainder 2

Divisible by 7No, remainder 2

Divisible by 8No, remainder 4

Divisible by 9No, remainder 8

Divisible by 10No, remainder 2

Divisible by 11No, remainder 7

Divisible by 12No, remainder 8

Divisible by 100No, remainder 52

Collatz (3n + 1) trajectory

Steps to reach 180the total stopping time

Highest value reached9,2328× the starting value

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

First steps1,052 → 526 → 263 → 790 → 395 → 1,186 → 593 → 1,780 → 890 → 445 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage105,200%

1,052% as a decimal10.52

1,052% of 1001,052

1,052% of 1,00010,520

As a fraction of 1001,052/100

Read another way

As seconds17 minutes and 32 seconds

As bytes1.027 KiB

As a year1052 AD

As a 24-bit colour#00041C

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Neighbouring numbers

Derived from 1,052

Nearby primes

1052 (year)

Leap year
366 days
11th century
Dragon

1052 was a leap year of 366 days. It began on a Thursday and ended on a Friday. Easter Sunday fell on 28 March.

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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

Decade1050s

Chinese zodiacDragon

Easter Sunday28 March

Months of 1052

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-28,969,315,200

Unix timestamp at the end-28,937,692,801

Years from now974 years ago

Days from today355,999 days since 1 January

The number 1052

As a number1,052

In wordsone thousand and fifty-two

Roman numeralsMLII

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Neighbouring years

Key dates

Also reads as

#110055 (colour)

#110055
Blue
Dark
Nearest: Midnight blue

#110055 is a blue with RGB values 17, 0, 85 and HSL 252°, 100%, 17%. It is a dark colour, so white text on it reaches 18.2:1 contrast (AAA for normal text). The nearest named colour is Midnight blue.

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Colour values

#110055#110055

HEX#110055

HEX (short)#105

RGBrgb(17, 0, 85)

RGB (0–1)0.0667, 0, 0.3333

RGB percentages6.7%, 0%, 33.3%

HSLhsl(252, 100%, 16.7%)

HSV / HSBhsv(252, 100%, 33.3%)

CMYK80%, 100%, 0%, 66.7%≈naive device-independent conversion; real print needs an ICC profile

24-bit integer1,114,197

CSS custom property--colour: #110055;

Brightness & contrast

Relative luminance0.00775WCAG 2.x, 0 is black and 1 is white

Perceived brightness30.2 of 255ITU-R BT.601 weighting

Light or darkDark

Best text colour on this backgroundWhitecontrast 18.18:1

Contrast with white18.18:1WCAG normal text: AAA

Contrast with black1.16:1WCAG normal text: Fail

Greyscale equivalent#0A0A0A

Inverted#EEFFAA

Colour vision & accessibility

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#001957no red cones; affects about 1% of men; ΔE 18.3 from the original

Deuteranopia#001254no green cones; the most common form, about 1% of men; ΔE 13.6 from the original

Tritanopia#001E2Eno blue cones; rare, and affects men and women equally; ΔE 51.5 from the original

Distinguishable without hueYesnever rely on hue alone to carry meaning

Contrast with white, large text18.18:1WCAG large text: AAA

Contrast with black, large text1.16:1WCAG large text: Fail

Named colours

Midnight blue · ΔE 10.3 Indigo · ΔE 21.9 Navy · ΔE 22.6 Dark slateblue · ΔE 26.1 Rebecca purple · ΔE 26.9 Dark blue · ΔE 27.8

Nearest named CSS colourMidnight blue (#191970)ΔE 10.31, a distinctly different colour

Hue familyblue

CSS keyword usableNo exact keyword

Colour harmonies

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

Complementary#445500

Analogous#001955, #3C0055

Triadic#551100, #005511

Split complementary#553B00, #195500

Tetradic#550019, #445500, #00553C

Tints, shades & saturation

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

Lighter +40%#4E22FF

Lighter +30%#3000EE

Lighter +20%#2500BB

Lighter +10%#1B0088

Darker −10%#070022

Darker −20%#000000

Darker −30%#000000

Darker −40%#000000

More saturated +25%#110055

Less saturated −25%#170B4A

Channel breakdown

R17

B85

Red17 (6.7%)

Green0 (0%)

Blue85 (33.3%)

Hue252°

Saturation (HSL)100%

Lightness16.67%

Dominant channelBlue

Hex per channelR 11 · G 00 · B 55

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1,052

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 1,052

Nearby primes

Other readings

1052 (year)

Structure of the year

Months of 1052

Time references

The number 1052

Keep nerding

Neighbouring years

Key dates

#110055 (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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