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Number

216,000

  • Positive
  • Even
  • Composite
  • Perfect cube
  • 6 digits

216,000 is an even 6-digit integer and a composite number. It has 112 divisors and a digital root of 9.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value216,000
Digit count6
Digit sum9
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Perfect cubeYes, 60³
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^6 × 3^3 × 5^3
Distinct prime factors32, 3, 5
Number of divisors112
Sum of divisors σ(n)792,480
Aliquot sum576,480sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)57,600integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60, 64, 72, 75, 80, 90, 96, 100, 108, 120, 125, 135, 144, 150, 160, 180, 192, 200, 216, 225, 240, 250, 270, 288, 300, 320, 360, 375, 400, 432, 450, 480, 500, 540, 576, 600, 675, 720, 750, 800, 864, 900, 960, 1,000, 1,080, 1,125, 1,200, 1,350, 1,440, 1,500, 1,600, 1,728, 1,800, 2,000, 2,160, 2,250, 2,400, 2,700, 2,880, 3,000, 3,375, 3,600, 4,000, 4,320, 4,500, 4,800, 5,400, 6,000, 6,750, 7,200, 8,000, 8,640, 9,000, 10,800, 12,000, 13,500, 14,400, 18,000, 21,600, 24,000, 27,000, 36,000, 43,200, 54,000, 72,000, 108,000, 216,000112 in total

Arithmetic

Previous number215,999
Next number216,001
Double432,000
Cube10,077,696,000,000,000
Square root464.758001545irrational, shown to 9 decimal places
Cube root60
Negation-216,000
Reciprocal0.0000046296

Representations

Decimal216,000
Binary11010010111100000018 bits
Octal645700
Hexadecimal34BC0
Base 364MO0
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordstwo hundred and sixteen thousand
Ordinaltwo hundred and sixteen thousandth
Scientific notation2.16 × 10^5
Engineering notation216 × 10^3

Nearest landmarks

Next prime216,023+23
Previous prime215,983−17
Distance to nearest prime17
Nearest square below215,296
Nearest square above216,225

Powers & multiples

216,000 to the power 246,656,000,000
216,000 to the power 310,077,696,000,000,000
216,000 to the power 42,176,782,336,000,000,000,000
216,000 to the power 5470,184,984,576,000,000,000,000,000
First ten multiples216,000, 432,000, 648,000, 864,000, 1,080,000, 1,296,000, 1,512,000, 1,728,000, 1,944,000, 2,160,000
Powers of twoBetween 2^17 (131,072) and 2^18 (262,144)

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 9Yes
Divisible by 10Yes
Divisible by 11No, remainder 4
Divisible by 12Yes
Divisible by 100Yes

Collatz (3n + 1) trajectory

Steps to reach 1142the total stopping time
Highest value reached216,000
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps216,000 → 108,000 → 54,000 → 27,000 → 13,500 → 6,750 → 3,375 → 10,126 → 5,063 → 15,190 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage21,600,000%
216,000% as a decimal2,160
216,000% of 100216,000
216,000% of 1,0002,160,000
As a fraction of 100216,000/100

Read another way

As bytes210.938 KiB
As a 24-bit colour#034BC0

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Also reads as

#216000 (colour)

  • #216000
  • Green
  • Dark
  • Nearest: Dark green

#216000 is a green with RGB values 33, 96, 0 and HSL 99°, 100%, 19%. It is a dark colour, so white text on it reaches 7.7:1 contrast (AAA for normal text). The nearest named colour is Dark green.

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Colour values

#216000#216000
HEX#216000
RGBrgb(33, 96, 0)
RGB (0–1)0.1294, 0.3765, 0
RGB percentages12.9%, 37.6%, 0%
HSLhsl(99.4, 100%, 18.8%)
HSV / HSBhsv(99.4, 100%, 37.6%)
CMYK65.6%, 0%, 100%, 62.4%naive device-independent conversion; real print needs an ICC profile
24-bit integer2,187,264
CSS custom property--colour: #216000;

Brightness & contrast

Relative luminance0.08689WCAG 2.x, 0 is black and 1 is white
Perceived brightness75.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 7.67:1
Contrast with white7.67:1WCAG normal text: AAA
Contrast with black2.74:1WCAG normal text: Fail
Greyscale equivalent#4C4C4C
Inverted#DE9FFF

Colour vision & accessibility

Protanopia#635600no red cones; affects about 1% of men; ΔE 33.4 from the original
Deuteranopia#5C510Fno green cones; the most common form, about 1% of men; ΔE 33.5 from the original
Tritanopia#1A5C50no blue cones; rare, and affects men and women equally; ΔE 42.5 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text7.67:1WCAG large text: AAA
Contrast with black, large text2.74:1WCAG large text: Fail

Named colours

Nearest named CSS colourDark green (#006400)ΔE 6.92, clearly different but related
Hue familygreen
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#3F0060
Analogous#516000, #00600F
Triadic#002160, #600021
Split complementary#0F0060, #600051
Tetradic#005160, #3F0060, #600F00

Tints, shades & saturation

Lighter +40%#75FF2D
Lighter +30%#56F900
Lighter +20%#44C600
Lighter +10%#339300
Darker −10%#0F2D00
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#216000
Less saturated −25%#25540C

Channel breakdown

R33
G96
B0
Red33 (12.9%)
Green96 (37.6%)
Blue0 (0%)
Hue99.38°
Saturation (HSL)100%
Lightness18.82%
Dominant channelGreen
Hex per channelR 21 · G 60 · B 00

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