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Number

960

  • Positive
  • Even
  • Composite
  • 3 digits

960 is an even 3-digit integer and a composite number. It has 28 divisors and a digital root of 6.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value960
Digit count3
Digit sum15
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^6 × 3 × 5
Distinct prime factors32, 3, 5
Number of divisors28
Sum of divisors σ(n)3,048
Aliquot sum2,088sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)256integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 96028 in total

Arithmetic

Previous number959
Next number961
Double1,920
Half480
Square921,600
Square root30.98386677irrational, shown to 9 decimal places
Cube root9.864848297
Negation-960
Reciprocal0.0010416667
960 factorial8870423212372941334962108578949496376857… (2,448 digits)

Representations

Decimal960
Binary111100000010 bits
Octal1700
Hexadecimal3C0
Base 36QO
Roman numeralCMLX
In wordsnine hundred and sixty
Ordinalnine hundred and sixtieth
Scientific notation9.6 × 10^2
Engineering notation960

Nearest landmarks

Next prime967+7
Previous prime953−7
Distance to nearest prime7
Nearest square below900
Nearest square above961

Powers & multiples

960 to the power 2921,600
960 to the power 3884,736,000
960 to the power 4849,346,560,000
960 to the power 5815,372,697,600,000
First ten multiples960, 1,920, 2,880, 3,840, 4,800, 5,760, 6,720, 7,680, 8,640, 9,600
Powers of twoBetween 2^9 (512) and 2^10 (1,024)

Divisibility tests

Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 1
Divisible by 8Yes
Divisible by 9No, remainder 6
Divisible by 10Yes
Divisible by 11No, remainder 3
Divisible by 12Yes
Divisible by 100No, remainder 60

Collatz (3n + 1) trajectory

Steps to reach 123the total stopping time
Highest value reached960
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps960 → 480 → 240 → 120 → 60 → 30 → 15 → 46 → 23 → 70 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage96,000%
960% as a decimal9.6
960% of 100960
960% of 1,0009,600
As a fraction of 100960/100

Read another way

As seconds16 minutes
As bytes960 B
As a 24-bit colour#0003C0

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Also reads as

#996600 (colour)

  • #996600
  • Orange
  • Dark
  • Nearest: Dark goldenrod

#996600 is a orange with RGB values 153, 102, 0 and HSL 40°, 100%, 30%. It is a dark colour, so white text on it reaches 4.9:1 contrast (AA for normal text). The nearest named colour is Dark goldenrod.

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Colour values

#996600#996600
HEX#996600
HEX (short)#960
RGBrgb(153, 102, 0)
RGB (0–1)0.6, 0.4, 0
RGB percentages60%, 40%, 0%
HSLhsl(40, 100%, 30%)
HSV / HSBhsv(40, 100%, 60%)
CMYK0%, 33.3%, 100%, 40%naive device-independent conversion; real print needs an ICC profile
24-bit integer10,053,120
CSS custom property--colour: #996600;

Brightness & contrast

Relative luminance0.16275WCAG 2.x, 0 is black and 1 is white
Perceived brightness114.5 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 4.94:1
Contrast with white4.94:1WCAG normal text: AA
Contrast with black4.26:1WCAG normal text: Fail
Greyscale equivalent#696969
Inverted#6699FF

Colour vision & accessibility

Protanopia#786900no red cones; affects about 1% of men; ΔE 18.2 from the original
Deuteranopia#847506no green cones; the most common form, about 1% of men; ΔE 18.5 from the original
Tritanopia#A85856no blue cones; rare, and affects men and women equally; ΔE 43.1 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text4.94:1WCAG large text: AAA
Contrast with black, large text4.26:1WCAG large text: AA

Named colours

Nearest named CSS colourDark goldenrod (#B8860B)ΔE 14.79, a distinctly different colour
Hue familyorange
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#003399
Analogous#991900, #7F9900
Triadic#009966, #660099
Split complementary#008099, #1A0099
Tetradic#009919, #003399, #99007F

Tints, shades & saturation

Lighter +40%#FFCC66
Lighter +30%#FFBB33
Lighter +20%#FFAA00
Lighter +10%#CC8800
Darker −10%#664400
Darker −20%#332200
Darker −30%#000000
Darker −40%#000000
More saturated +25%#996600
Less saturated −25%#866013

Channel breakdown

R153
G102
B0
Red153 (60%)
Green102 (40%)
Blue0 (0%)
Hue40°
Saturation (HSL)100%
Lightness30%
Dominant channelRed
Hex per channelR 99 · G 66 · B 00

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