Number

966

Positive
Even
Composite
3 digits

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

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value966

Digit count3

Digit sum21

Digital root3repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 3 × 7 × 23

Distinct prime factors42, 3, 7, 23

Number of divisors16

Sum of divisors σ(n)2,304

Aliquot sum1,338sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)264integers below n that share no factor with it

SquarefreeYesno repeated prime factor

All divisors1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 96616 in total

Arithmetic

Previous number965

Next number967

Double1,932

Half483

Square933,156

Cube901,428,696

Square root31.080540536≈irrational, shown to 9 decimal places

Cube root9.885357396≈

Negation-966

Reciprocal0.0010351967≈

966 factorial7096603829019911577857267455854513515201… (2,466 digits)

Representations

Decimal966

Binary111100011010 bits

Octal1706

Hexadecimal3C6

Base 36QU

Roman numeralCMLXVI

In wordsnine hundred and sixty-six

Ordinalnine hundred and sixty-sixth

Scientific notation9.66 × 10^2

Engineering notation966

Nearest landmarks

Next prime967+1

Previous prime953−13

Distance to nearest prime1

Nearest square below961

Nearest square above1,024

Powers & multiples

966 to the power 2933,156

966 to the power 3901,428,696

966 to the power 4870,780,120,336

966 to the power 5841,173,596,244,576

First ten multiples966, 1,932, 2,898, 3,864, 4,830, 5,796, 6,762, 7,728, 8,694, 9,660

Powers of twoBetween 2^9 (512) and 2^10 (1,024)

Divisibility tests

Divisible by 2Yes

Divisible by 3Yes

Divisible by 4No, remainder 2

Divisible by 5No, remainder 1

Divisible by 6Yes

Divisible by 7Yes

Divisible by 8No, remainder 6

Divisible by 9No, remainder 3

Divisible by 10No, remainder 6

Divisible by 11No, remainder 9

Divisible by 12No, remainder 6

Divisible by 100No, remainder 66

Collatz (3n + 1) trajectory

Steps to reach 123the total stopping time

Highest value reached2,1762× the starting value

Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven

First steps966 → 483 → 1,450 → 725 → 2,176 → 1,088 → 544 → 272 → 136 → 68 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage96,600%

966% as a decimal9.66

966% of 100966

966% of 1,0009,660

As a fraction of 100966/100

Read another way

As seconds16 minutes and 6 seconds

As bytes966 B

As a 24-bit colour#0003C6

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Neighbouring numbers

Derived from 966

Nearby primes

#996666 (colour)

#996666
Red
Dark
Nearest: Rosy brown

#996666 is a red with RGB values 153, 102, 102 and HSL 0°, 20%, 50%. It is a dark colour, so white text on it reaches 4.7:1 contrast (AA for normal text). The nearest named colour is Rosy brown.

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Colour values

#996666#996666

HEX#996666

HEX (short)#966

RGBrgb(153, 102, 102)

RGB (0–1)0.6, 0.4, 0.4

RGB percentages60%, 40%, 40%

HSLhsl(0, 20%, 50%)

HSV / HSBhsv(0, 33.3%, 60%)

CMYK0%, 33.3%, 33.3%, 40%≈naive device-independent conversion; real print needs an ICC profile

24-bit integer10,053,222

CSS custom property--colour: #996666;

Brightness & contrast

Relative luminance0.17234WCAG 2.x, 0 is black and 1 is white

Perceived brightness119.6 of 255ITU-R BT.601 weighting

Light or darkDark

Best text colour on this backgroundWhitecontrast 4.72:1

Contrast with white4.72:1WCAG normal text: AA

Contrast with black4.45:1WCAG normal text: Fail

Greyscale equivalent#717171

Inverted#669999

Colour vision & accessibility

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#706D66no red cones; affects about 1% of men; ΔE 21.3 from the original

Deuteranopia#7C7765no green cones; the most common form, about 1% of men; ΔE 22.1 from the original

Tritanopia#A36166no blue cones; rare, and affects men and women equally; ΔE 6.8 from the original

Distinguishable without hueYesnever rely on hue alone to carry meaning

Contrast with white, large text4.72:1WCAG large text: AAA

Contrast with black, large text4.45:1WCAG large text: AA

Named colours

Rosy brown · ΔE 15.6 Dim grey · ΔE 22.6 Gray · ΔE 22.8 Indian red · ΔE 28.3 Pale violetred · ΔE 28.8 Sienna · ΔE 29

Nearest named CSS colourRosy brown (#BC8F8F)ΔE 15.57, a distinctly different colour

Hue familyred

CSS keyword usableNo exact keyword

Colour harmonies

base +30°+90°+120°+180°+210°+240°+270°+330°

Complementary#669999

Analogous#996680, #998066

Triadic#669966, #666699

Split complementary#669980, #668099

Tetradic#809966, #669999, #806699

Tints, shades & saturation

+40%+30%+20%+10%base -10%-20%-30%-40%

Lighter +40%#EBE0E0

Lighter +30%#D6C2C2

Lighter +20%#C2A3A3

Lighter +10%#AD8585

Darker −10%#7A5252

Darker −20%#5C3D3D

Darker −30%#3D2929

Darker −40%#1F1414

More saturated +25%#B94646

Less saturated −25%#808080

Channel breakdown

R153

G102

B102

Red153 (60%)

Green102 (40%)

Blue102 (40%)

Hue0°

Saturation (HSL)20%

Lightness50%

Dominant channelRed

Hex per channelR 99 · G 66 · B 66

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966

Number properties

Factors & divisors

Arithmetic

Representations

Nearest landmarks

Powers & multiples

Divisibility tests

Collatz (3n + 1) trajectory

As a percentage & fraction

Read another way

Keep nerding

Neighbouring numbers

Derived from 966

Nearby primes

Other readings

#996666 (colour)

Colour values

Brightness & contrast

Colour vision & accessibility

Named colours

Colour harmonies

Tints, shades & saturation

Channel breakdown

Keep nerding

Harmonies

Lighter and darker

Similar named colours

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