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Number

108

  • Positive
  • Even
  • Composite
  • 3 digits

108 is an even 3-digit integer and a composite number. It has 12 divisors and a digital root of 9.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value108
Digit count3
Digit sum9
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 3^3
Distinct prime factors22, 3
Number of divisors12
Sum of divisors σ(n)280
Aliquot sum172sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)36integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 10812 in total

Arithmetic

Previous number107
Next number109
Double216
Half54
Square11,664
Square root10.392304845irrational, shown to 9 decimal places
Cube root4.762203156
Negation-108
Reciprocal0.0092592593
108 factorial1324641819451828974499891837121832599810… (175 digits)

Representations

Decimal108
Binary11011007 bits
Octal154
Hexadecimal6C
Base 3630
Roman numeralCVIII
In wordsone hundred and eight
Ordinalone hundred and eighth
Scientific notation1.08 × 10^2
Engineering notation108

Nearest landmarks

Next prime109+1
Previous prime107−1
Distance to nearest prime1
Nearest square below100
Nearest square above121

Powers & multiples

108 to the power 211,664
108 to the power 31,259,712
108 to the power 4136,048,896
108 to the power 514,693,280,768
First ten multiples108, 216, 324, 432, 540, 648, 756, 864, 972, 1,080
Powers of twoBetween 2^6 (64) and 2^7 (128)

Divisibility tests

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

Collatz (3n + 1) trajectory

Steps to reach 1113the total stopping time
Highest value reached9,23285× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps108 → 54 → 27 → 82 → 41 → 124 → 62 → 31 → 94 → 47 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage10,800%
108% as a decimal1.08
108% of 100108
108% of 1,0001,080
As a fraction of 100108/100

Read another way

As bytes108 B
As a 24-bit colour#00006C

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Also reads as

#110088 (colour)

  • #110088
  • Blue
  • Dark
  • Nearest: Dark blue

#110088 is a blue with RGB values 17, 0, 136 and HSL 248°, 100%, 27%. It is a dark colour, so white text on it reaches 15.2:1 contrast (AAA for normal text). The nearest named colour is Dark blue.

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Colour values

#110088#110088
HEX#110088
HEX (short)#108
RGBrgb(17, 0, 136)
RGB (0–1)0.0667, 0, 0.5333
RGB percentages6.7%, 0%, 53.3%
HSLhsl(247.5, 100%, 26.7%)
HSV / HSBhsv(247.5, 100%, 53.3%)
CMYK87.5%, 100%, 0%, 46.7%naive device-independent conversion; real print needs an ICC profile
24-bit integer1,114,248
CSS custom property--colour: #110088;

Brightness & contrast

Relative luminance0.01897WCAG 2.x, 0 is black and 1 is white
Perceived brightness46.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 15.22:1
Contrast with white15.22:1WCAG normal text: AAA
Contrast with black1.38:1WCAG normal text: Fail
Greyscale equivalent#0D0D0D
Inverted#EEFF77

Colour vision & accessibility

Protanopia#002C8Bno red cones; affects about 1% of men; ΔE 25.5 from the original
Deuteranopia#001E86no green cones; the most common form, about 1% of men; ΔE 16.7 from the original
Tritanopia#00354Dno blue cones; rare, and affects men and women equally; ΔE 73.3 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text15.22:1WCAG large text: AAA
Contrast with black, large text1.38:1WCAG large text: Fail

Named colours

Nearest named CSS colourDark blue (#00008B)ΔE 2.28, below the just-noticeable difference
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#778800
Analogous#003388, #550088
Triadic#881100, #008811
Split complementary#885500, #338800
Tetradic#880033, #778800, #008855

Tints, shades & saturation

Lighter +40%#6A55FF
Lighter +30%#3E22FF
Lighter +20%#1E00EE
Lighter +10%#1700BB
Darker −10%#0B0055
Darker −20%#040022
Darker −30%#000000
Darker −40%#000000
More saturated +25%#110088
Less saturated −25%#1E1177

Channel breakdown

R17
G0
B136
Red17 (6.7%)
Green0 (0%)
Blue136 (53.3%)
Hue247.5°
Saturation (HSL)100%
Lightness26.67%
Dominant channelBlue
Hex per channelR 11 · G 00 · B 88

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Every value on this page was computed from “108” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.