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Number

803

  • Positive
  • Odd
  • Composite
  • 3 digits

803 is an odd 3-digit integer and a composite number. It has 4 divisors and a digital root of 2.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value803
Digit count3
Digit sum11
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation11 × 73
Distinct prime factors211, 73
Number of divisors4
Sum of divisors σ(n)888
Aliquot sum85sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)720integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 11, 73, 8034 in total

Arithmetic

Previous number802
Next number804
Double1,606
Half401.5
Square644,809
Square root28.337254631irrational, shown to 9 decimal places
Cube root9.294767164
Negation-803
Reciprocal0.00124533
803 factorial3977467752600633357871232846428074364293… (1,986 digits)

Representations

Decimal803
Binary110010001110 bits
Octal1443
Hexadecimal323
Base 36MB
Roman numeralDCCCIII
In wordseight hundred and three
Ordinaleight hundred and third
Scientific notation8.03 × 10^2
Engineering notation803

Nearest landmarks

Next prime809+6
Previous prime797−6
Distance to nearest prime6
Nearest square below784
Nearest square above841

Powers & multiples

803 to the power 2644,809
803 to the power 3517,781,627
803 to the power 4415,778,646,481
803 to the power 5333,870,253,124,243
First ten multiples803, 1,606, 2,409, 3,212, 4,015, 4,818, 5,621, 6,424, 7,227, 8,030
Powers of twoBetween 2^9 (512) and 2^10 (1,024)

Divisibility tests

Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 3
Divisible by 5No, remainder 3
Divisible by 6No, remainder 5
Divisible by 7No, remainder 5
Divisible by 8No, remainder 3
Divisible by 9No, remainder 2
Divisible by 10No, remainder 3
Divisible by 11Yes
Divisible by 12No, remainder 11
Divisible by 100No, remainder 3

Collatz (3n + 1) trajectory

Steps to reach 120the total stopping time
Highest value reached3,6164× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps803 → 2,410 → 1,205 → 3,616 → 1,808 → 904 → 452 → 226 → 113 → 340 → …
Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage80,300%
803% as a decimal8.03
803% of 100803
803% of 1,0008,030
As a fraction of 100803/100

Read another way

As bytes803 B
As a 24-bit colour#000323

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Also reads as

#880033 (colour)

  • #880033
  • Red
  • Dark
  • Nearest: Brown

#880033 is a red with RGB values 136, 0, 51 and HSL 338°, 100%, 27%. It is a dark colour, so white text on it reaches 10:1 contrast (AAA for normal text). The nearest named colour is Brown.

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Colour values

#880033#880033
HEX#880033
HEX (short)#803
RGBrgb(136, 0, 51)
RGB (0–1)0.5333, 0, 0.2
RGB percentages53.3%, 0%, 20%
HSLhsl(337.5, 100%, 26.7%)
HSV / HSBhsv(337.5, 100%, 53.3%)
CMYK0%, 100%, 62.5%, 46.7%naive device-independent conversion; real print needs an ICC profile
24-bit integer8,912,947
CSS custom property--colour: #880033;

Brightness & contrast

Relative luminance0.05473WCAG 2.x, 0 is black and 1 is white
Perceived brightness76.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 10.03:1
Contrast with white10.03:1WCAG normal text: AAA
Contrast with black2.09:1WCAG normal text: Fail
Greyscale equivalent#212121
Inverted#77FFCC

Colour vision & accessibility

Protanopia#313234no red cones; affects about 1% of men; ΔE 54 from the original
Deuteranopia#514B30no green cones; the most common form, about 1% of men; ΔE 54.5 from the original
Tritanopia#96001Bno blue cones; rare, and affects men and women equally; ΔE 20.1 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text10.03:1WCAG large text: AAA
Contrast with black, large text2.09:1WCAG large text: Fail

Named colours

Nearest named CSS colourBrown (#A52A2A)ΔE 21.28, a distinctly different colour
Hue familyred
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#008855
Analogous#880077, #881100
Triadic#338800, #003388
Split complementary#008811, #007788
Tetradic#778800, #008855, #110088

Tints, shades & saturation

Lighter +40%#FF5595
Lighter +30%#FF2275
Lighter +20%#EE0059
Lighter +10%#BB0046
Darker −10%#550020
Darker −20%#22000D
Darker −30%#000000
Darker −40%#000000
More saturated +25%#880033
Less saturated −25%#771137

Channel breakdown

R136
G0
B51
Red136 (53.3%)
Green0 (0%)
Blue51 (20%)
Hue337.5°
Saturation (HSL)100%
Lightness26.67%
Dominant channelRed
Hex per channelR 88 · G 00 · B 33

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Every value on this page was computed from “803” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.