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Number

168

  • Positive
  • Even
  • Composite
  • 3 digits

168 is an even 3-digit integer and a composite number. It has 16 divisors and a digital root of 6.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value168
Digit count3
Digit sum15
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^3 × 3 × 7
Distinct prime factors32, 3, 7
Number of divisors16
Sum of divisors σ(n)480
Aliquot sum312sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)48integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 16816 in total

Arithmetic

Previous number167
Next number169
Double336
Half84
Square28,224
Square root12.961481397irrational, shown to 9 decimal places
Cube root5.517848353
Negation-168
Reciprocal0.005952381
168 factorial2526075744973198387538018869171341146786… (303 digits)

Representations

Decimal168
Binary101010008 bits
Octal250
HexadecimalA8
Base 364O
Roman numeralCLXVIII
In wordsone hundred and sixty-eight
Ordinalone hundred and sixty-eighth
Scientific notation1.68 × 10^2
Engineering notation168

Nearest landmarks

Next prime173+5
Previous prime167−1
Distance to nearest prime1
Nearest square below144
Nearest square above169

Powers & multiples

168 to the power 228,224
168 to the power 34,741,632
168 to the power 4796,594,176
168 to the power 5133,827,821,568
First ten multiples168, 336, 504, 672, 840, 1,008, 1,176, 1,344, 1,512, 1,680
Powers of twoBetween 2^7 (128) and 2^8 (256)

Divisibility tests

Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6Yes
Divisible by 7Yes
Divisible by 8Yes
Divisible by 9No, remainder 6
Divisible by 10No, remainder 8
Divisible by 11No, remainder 3
Divisible by 12Yes
Divisible by 100No, remainder 68

Collatz (3n + 1) trajectory

Steps to reach 110the total stopping time
Highest value reached168
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps168 → 84 → 42 → 21 → 64 → 32 → 16 → 8 → 4 → 2 → …
Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage16,800%
168% as a decimal1.68
168% of 100168
168% of 1,0001,680
As a fraction of 100168/100

Read another way

As bytes168 B
As a 24-bit colour#0000A8

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Also reads as

#116688 (colour)

  • #116688
  • Cyan
  • Dark
  • Nearest: Steel blue

#116688 is a cyan with RGB values 17, 102, 136 and HSL 197°, 78%, 30%. It is a dark colour, so white text on it reaches 6.4:1 contrast (AA for normal text). The nearest named colour is Steel blue.

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Colour values

#116688#116688
HEX#116688
HEX (short)#168
RGBrgb(17, 102, 136)
RGB (0–1)0.0667, 0.4, 0.5333
RGB percentages6.7%, 40%, 53.3%
HSLhsl(197.1, 77.8%, 30%)
HSV / HSBhsv(197.1, 87.5%, 53.3%)
CMYK87.5%, 25%, 0%, 46.7%naive device-independent conversion; real print needs an ICC profile
24-bit integer1,140,360
CSS custom property--colour: #116688;

Brightness & contrast

Relative luminance0.11399WCAG 2.x, 0 is black and 1 is white
Perceived brightness91.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 6.4:1
Contrast with white6.4:1WCAG normal text: AA
Contrast with black3.28:1WCAG normal text: Fail
Greyscale equivalent#565656
Inverted#EE9977

Colour vision & accessibility

Protanopia#55658Ano red cones; affects about 1% of men; ΔE 15.3 from the original
Deuteranopia#455A87no green cones; the most common form, about 1% of men; ΔE 16.4 from the original
Tritanopia#006F72no blue cones; rare, and affects men and women equally; ΔE 21.5 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text6.4:1WCAG large text: AAA
Contrast with black, large text3.28:1WCAG large text: AA

Named colours

Nearest named CSS colourSteel blue (#4682B4)ΔE 15.57, a distinctly different colour
Hue familycyan
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#883311
Analogous#11886E, #112B88
Triadic#881166, #668811
Split complementary#88112B, #886E11
Tetradic#6E1188, #883311, #2B8811

Tints, shades & saturation

Lighter +40%#77CCEE
Lighter +30%#4ABBE8
Lighter +20%#1CAAE3
Lighter +10%#1788B5
Darker −10%#0B445B
Darker −20%#06222D
Darker −30%#000000
Darker −40%#000000
More saturated +25%#006D99
Less saturated −25%#245E75

Channel breakdown

R17
G102
B136
Red17 (6.7%)
Green102 (40%)
Blue136 (53.3%)
Hue197.14°
Saturation (HSL)77.78%
Lightness30%
Dominant channelBlue
Hex per channelR 11 · G 66 · B 88

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Every value on this page was computed from “168” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.