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Number

968

  • Positive
  • Even
  • Composite
  • 3 digits

968 is an even 3-digit integer and a composite number. It has 12 divisors and a digital root of 5.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value968
Digit count3
Digit sum23
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^3 × 11^2
Distinct prime factors22, 11
Number of divisors12
Sum of divisors σ(n)1,995
Aliquot sum1,027sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)440integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 96812 in total

Arithmetic

Previous number967
Next number969
Double1,936
Half484
Square937,024
Square root31.112698372irrational, shown to 9 decimal places
Cube root9.892174886
Negation-968
Reciprocal0.0010330579
968 factorial6642818593777062351922762345657352502985… (2,472 digits)

Representations

Decimal968
Binary111100100010 bits
Octal1710
Hexadecimal3C8
Base 36QW
Roman numeralCMLXVIII
In wordsnine hundred and sixty-eight
Ordinalnine hundred and sixty-eighth
Scientific notation9.68 × 10^2
Engineering notation968

Nearest landmarks

Next prime971+3
Previous prime967−1
Distance to nearest prime1
Nearest square below961
Nearest square above1,024

Powers & multiples

968 to the power 2937,024
968 to the power 3907,039,232
968 to the power 4878,013,976,576
968 to the power 5849,917,529,325,568
First ten multiples968, 1,936, 2,904, 3,872, 4,840, 5,808, 6,776, 7,744, 8,712, 9,680
Powers of twoBetween 2^9 (512) and 2^10 (1,024)

Divisibility tests

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

Collatz (3n + 1) trajectory

Steps to reach 198the total stopping time
Highest value reached9,2329× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps968 → 484 → 242 → 121 → 364 → 182 → 91 → 274 → 137 → 412 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage96,800%
968% as a decimal9.68
968% of 100968
968% of 1,0009,680
As a fraction of 100968/100

Read another way

As bytes968 B
As a 24-bit colour#0003C8

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Also reads as

#996688 (colour)

  • #996688
  • Magenta
  • Dark
  • Nearest: Rosy brown

#996688 is a magenta with RGB values 153, 102, 136 and HSL 320°, 20%, 50%. It is a dark colour, so black text on it reaches 4.6:1 contrast (AA for normal text). The nearest named colour is Rosy brown.

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Colour values

#996688#996688
HEX#996688
HEX (short)#968
RGBrgb(153, 102, 136)
RGB (0–1)0.6, 0.4, 0.5333
RGB percentages60%, 40%, 53.3%
HSLhsl(320, 20%, 50%)
HSV / HSBhsv(320, 33.3%, 60%)
CMYK0%, 33.3%, 11.1%, 40%naive device-independent conversion; real print needs an ICC profile
24-bit integer10,053,256
CSS custom property--colour: #996688;

Brightness & contrast

Relative luminance0.18053WCAG 2.x, 0 is black and 1 is white
Perceived brightness123.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundBlackcontrast 4.61:1
Contrast with white4.55:1WCAG normal text: AA
Contrast with black4.61:1WCAG normal text: AA
Greyscale equivalent#737373
Inverted#669977

Colour vision & accessibility

Protanopia#687189no red cones; affects about 1% of men; ΔE 24.1 from the original
Deuteranopia#747987no green cones; the most common form, about 1% of men; ΔE 24.9 from the original
Tritanopia#9F6772no blue cones; rare, and affects men and women equally; ΔE 13.7 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text4.55:1WCAG large text: AAA
Contrast with black, large text4.61:1WCAG large text: AAA

Named colours

Nearest named CSS colourRosy brown (#BC8F8F)ΔE 23.8, a distinctly different colour
Hue familymagenta
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#669977
Analogous#916699, #99666F
Triadic#889966, #668899
Split complementary#6F9966, #669991
Tetradic#999166, #669977, #666F99

Tints, shades & saturation

Lighter +40%#EBE0E7
Lighter +30%#D6C2CF
Lighter +20%#C2A3B8
Lighter +10%#AD85A0
Darker −10%#7A526D
Darker −20%#5C3D52
Darker −30%#3D2936
Darker −40%#1F141B
More saturated +25%#B94693
Less saturated −25%#808080

Channel breakdown

R153
G102
B136
Red153 (60%)
Green102 (40%)
Blue136 (53.3%)
Hue320°
Saturation (HSL)20%
Lightness50%
Dominant channelRed
Hex per channelR 99 · G 66 · B 88

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Every value on this page was computed from “968” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.