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Number

120,084

  • Positive
  • Even
  • Composite
  • 6 digits

120,084 is an even 6-digit integer and a composite number. It has 12 divisors and a digital root of 6.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value120,084
Digit count6
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 factorisation2^2 × 3 × 10,007
Distinct prime factors32, 3, 10,007
Number of divisors12
Sum of divisors σ(n)280,224
Aliquot sum160,140sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)40,024integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 12, 10,007, 20,014, 30,021, 40,028, 60,042, 120,08412 in total

Arithmetic

Previous number120,083
Next number120,085
Double240,168
Half60,042
Cube1,731,631,340,752,704
Square root346.53138386irrational, shown to 9 decimal places
Cube root49.335747792
Negation-120,084
Reciprocal0.0000083275

Representations

Decimal120,084
Binary1110101010001010017 bits
Octal352424
Hexadecimal1D514
Base 362KNO
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred and twenty thousand and eighty-four
Ordinalone hundred and twenty thousand and eighty-fourth
Scientific notation1.20084 × 10^5
Engineering notation120.084 × 10^3

Nearest landmarks

Next prime120,091+7
Previous prime120,079−5
Distance to nearest prime5
Nearest square below119,716
Nearest square above120,409

Powers & multiples

120,084 to the power 214,420,167,056
120,084 to the power 31,731,631,340,752,704
120,084 to the power 4207,941,217,922,947,707,136
120,084 to the power 524,970,413,213,059,252,463,719,424
First ten multiples120,084, 240,168, 360,252, 480,336, 600,420, 720,504, 840,588, 960,672, 1,080,756, 1,200,840
Powers of twoBetween 2^16 (65,536) and 2^17 (131,072)

Divisibility tests

Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 4
Divisible by 6Yes
Divisible by 7No, remainder 6
Divisible by 8No, remainder 4
Divisible by 9No, remainder 6
Divisible by 10No, remainder 4
Divisible by 11No, remainder 8
Divisible by 12Yes
Divisible by 100No, remainder 84

Collatz (3n + 1) trajectory

Steps to reach 1180the total stopping time
Highest value reached250,5042× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps120,084 → 60,042 → 30,021 → 90,064 → 45,032 → 22,516 → 11,258 → 5,629 → 16,888 → 8,444 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage12,008,400%
120,084% as a decimal1,200.84
120,084% of 100120,084
120,084% of 1,0001,200,840
As a fraction of 100120,084/100

Read another way

As bytes117.27 KiB
As a 24-bit colour#01D514

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Also reads as

#120084 (colour)

  • #120084
  • Blue
  • Dark
  • Nearest: Navy

#120084 is a blue with RGB values 18, 0, 132 and HSL 248°, 100%, 26%. It is a dark colour, so white text on it reaches 15.5:1 contrast (AAA for normal text). The nearest named colour is Navy.

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Colour values

#120084#120084
HEX#120084
RGBrgb(18, 0, 132)
RGB (0–1)0.0706, 0, 0.5176
RGB percentages7.1%, 0%, 51.8%
HSLhsl(248.2, 100%, 25.9%)
HSV / HSBhsv(248.2, 100%, 51.8%)
CMYK86.4%, 100%, 0%, 48.2%naive device-independent conversion; real print needs an ICC profile
24-bit integer1,179,780
CSS custom property--colour: #120084;

Brightness & contrast

Relative luminance0.01795WCAG 2.x, 0 is black and 1 is white
Perceived brightness45.6 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 15.45:1
Contrast with white15.45:1WCAG normal text: AAA
Contrast with black1.36:1WCAG normal text: Fail
Greyscale equivalent#0D0D0D
Inverted#EDFF7B

Colour vision & accessibility

Protanopia#002A87no red cones; affects about 1% of men; ΔE 24.4 from the original
Deuteranopia#001E82no green cones; the most common form, about 1% of men; ΔE 17.2 from the original
Tritanopia#00334Bno blue cones; rare, and affects men and women equally; ΔE 71.1 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text15.45:1WCAG large text: AAA
Contrast with black, large text1.36:1WCAG large text: Fail

Named colours

Nearest named CSS colourNavy (#000080)ΔE 1.93, below the just-noticeable difference
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#728400
Analogous#003084, #540084
Triadic#841200, #008412
Split complementary#845400, #308400
Tetradic#840030, #728400, #008454

Tints, shades & saturation

Lighter +40%#6951FF
Lighter +30%#3D1EFF
Lighter +20%#2000EA
Lighter +10%#1900B7
Darker −10%#0B0051
Darker −20%#04001E
Darker −30%#000000
Darker −40%#000000
More saturated +25%#120084
Less saturated −25%#1E1074

Channel breakdown

R18
G0
B132
Red18 (7.1%)
Green0 (0%)
Blue132 (51.8%)
Hue248.18°
Saturation (HSL)100%
Lightness25.88%
Dominant channelBlue
Hex per channelR 12 · G 00 · B 84

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Every value on this page was computed from “120084” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.