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Number

828

  • Positive
  • Even
  • Composite
  • 3 digits

828 is an even 3-digit integer and a composite number. It has 18 divisors and a digital root of 9.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value828
Digit count3
Digit sum18
Digital root9repeated digit sum
PalindromicYesreads the same backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 3^2 × 23
Distinct prime factors32, 3, 23
Number of divisors18
Sum of divisors σ(n)2,184
Aliquot sum1,356sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)264integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 82818 in total

Arithmetic

Previous number827
Next number829
Double1,656
Half414
Square685,584
Cube567,663,552
Square root28.77498914≈irrational, shown to 9 decimal places
Cube root9.390241873≈
Negation-828
Reciprocal0.0012077295≈
828 factorial2462842581463144328839338353215051399646… (2,059 digits)

Representations

Decimal828
Binary110011110010 bits
Octal1474
Hexadecimal33C
Base 36N0
Roman numeralDCCCXXVIII
In wordseight hundred and twenty-eight
Ordinaleight hundred and twenty-eighth
Scientific notation8.28 × 10^2
Engineering notation828

Nearest landmarks

Next prime829+1
Previous prime827−1
Distance to nearest prime1
Nearest square below784
Nearest square above841

Powers & multiples

828 to the power 2685,584
828 to the power 3567,663,552
828 to the power 4470,025,421,056
828 to the power 5389,181,048,634,368
First ten multiples828, 1,656, 2,484, 3,312, 4,140, 4,968, 5,796, 6,624, 7,452, 8,280
Powers of twoBetween 2^9 (512) and 2^10 (1,024)

Divisibility tests

Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6Yes
Divisible by 7No, remainder 2
Divisible by 8No, remainder 4
Divisible by 9Yes
Divisible by 10No, remainder 8
Divisible by 11No, remainder 3
Divisible by 12Yes
Divisible by 100No, remainder 28

Collatz (3n + 1) trajectory

Steps to reach 190the total stopping time
Highest value reached9,23211× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps828 → 414 → 207 → 622 → 311 → 934 → 467 → 1,402 → 701 → 2,104 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage82,800%
828% as a decimal8.28
828% of 100828
828% of 1,0008,280
As a fraction of 100828/100

Read another way

As seconds13 minutes and 48 seconds
As bytes828 B
As a 24-bit colour#00033C

Keep nerding

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Neighbouring numbers

Nearby primes

Also reads as

#882288 (colour)

  • #882288
  • Magenta
  • Dark
  • Nearest: Purple

#882288 is a magenta with RGB values 136, 34, 136 and HSL 300°, 60%, 33%. It is a dark colour, so white text on it reaches 8:1 contrast (AAA for normal text). The nearest named colour is Purple.

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Colour values

#882288#882288
HEX#882288
HEX (short)#828
RGBrgb(136, 34, 136)
RGB (0–1)0.5333, 0.1333, 0.5333
RGB percentages53.3%, 13.3%, 53.3%
HSLhsl(300, 60%, 33.3%)
HSV / HSBhsv(300, 75%, 53.3%)
CMYK0%, 75%, 0%, 46.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer8,921,736
CSS custom property--colour: #882288;

Brightness & contrast

Relative luminance0.08156WCAG 2.x, 0 is black and 1 is white
Perceived brightness91.2 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 7.98:1
Contrast with white7.98:1WCAG normal text: AAA
Contrast with black2.63:1WCAG normal text: Fail
Greyscale equivalent#3F3F3F
Inverted#77DD77

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#0D488Bno red cones; affects about 1% of men; ΔE 46.1 from the original
Deuteranopia#3E5585no green cones; the most common form, about 1% of men; ΔE 48.7 from the original
Tritanopia#8C3253no blue cones; rare, and affects men and women equally; ΔE 37 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text7.98:1WCAG large text: AAA
Contrast with black, large text2.63:1WCAG large text: Fail

Named colours

Purple · ΔE 6.8Dark magenta · ΔE 9.5Rebecca purple · ΔE 17.4Indigo · ΔE 23.8Medium orchid · ΔE 23.9Medium violet red · ΔE 27.3
Nearest named CSS colourPurple (#800080)ΔE 6.82, clearly different but related
Hue familymagenta
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#228822
Analogous#552288, #882255
Triadic#888822, #228888
Split complementary#558822, #228855
Tetradic#885522, #228822, #225588

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#E492E4
Lighter +30%#DA69DA
Lighter +20%#CF41CF
Lighter +10%#B12CB1
Darker −10%#5F185F
Darker −20%#360E36
Darker −30%#0E030E
Darker −40%#000000
More saturated +25%#9D0D9D
Less saturated −25%#733773

Channel breakdown

R136
G34
B136
Red136 (53.3%)
Green34 (13.3%)
Blue136 (53.3%)
Hue300°
Saturation (HSL)60%
Lightness33.33%
Dominant channelRed and Blue
Hex per channelR 88 · G 22 · B 88

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Every value on this page was computed from “828” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.