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Number

4,080

  • Positive
  • Even
  • Composite
  • 4 digits

4,080 is an even 4-digit integer and a composite number. It has 40 divisors and a digital root of 3.

The canonical address for this page is /4080.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value4,080
Digit count4
Digit sum12
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^4 × 3 × 5 × 17
Distinct prime factors42, 3, 5, 17
Number of divisors40
Sum of divisors σ(n)13,392
Aliquot sum9,312sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)1,024integers 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, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1,020, 1,360, 2,040, 4,08040 in total

Arithmetic

Previous number4,079
Next number4,081
Double8,160
Half2,040
Square root63.874877691irrational, shown to 9 decimal places
Cube root15.979139481
Negation-4,080
Reciprocal0.000245098

Representations

Decimal4,080
Binary11111111000012 bits
Octal7760
HexadecimalFF0
Base 3635C
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour thousand and eighty
Ordinalfour thousand and eightieth
Scientific notation4.08 × 10^3
Engineering notation4.08 × 10^3

Nearest landmarks

Next prime4,091+11
Previous prime4,079−1
Distance to nearest prime1
Nearest square below3,969
Nearest square above4,096

Powers & multiples

4,080 to the power 216,646,400
4,080 to the power 367,917,312,000
4,080 to the power 4277,102,632,960,000
4,080 to the power 51,130,578,742,476,800,000
First ten multiples4,080, 8,160, 12,240, 16,320, 20,400, 24,480, 28,560, 32,640, 36,720, 40,800
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)

Divisibility tests

Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 6
Divisible by 8Yes
Divisible by 9No, remainder 3
Divisible by 10Yes
Divisible by 11No, remainder 10
Divisible by 12Yes
Divisible by 100No, remainder 80

Collatz (3n + 1) trajectory

Steps to reach 151the total stopping time
Highest value reached13,1203× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps4,080 → 2,040 → 1,020 → 510 → 255 → 766 → 383 → 1,150 → 575 → 1,726 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage408,000%
4,080% as a decimal40.8
4,080% of 1004,080
4,080% of 1,00040,800
As a fraction of 1004,080/100

Read another way

As bytes3.984 KiB
As a 24-bit colour#000FF0

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Also reads as

#004080 (colour)

  • #004080
  • Blue
  • Dark
  • Nearest: Dark slateblue

#004080 is a blue with RGB values 0, 64, 128 and HSL 210°, 100%, 25%. It is a dark colour, so white text on it reaches 10.3:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.

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Colour values

#004080#004080
HEX#004080
RGBrgb(0, 64, 128)
RGB (0–1)0, 0.251, 0.502
RGB percentages0%, 25.1%, 50.2%
HSLhsl(210, 100%, 25.1%)
HSV / HSBhsv(210, 100%, 50.2%)
CMYK100%, 50%, 0%, 49.8%naive device-independent conversion; real print needs an ICC profile
24-bit integer16,512
CSS custom property--colour: #004080;

Brightness & contrast

Relative luminance0.05225WCAG 2.x, 0 is black and 1 is white
Perceived brightness65.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 10.27:1
Contrast with white10.27:1WCAG normal text: AAA
Contrast with black2.05:1WCAG normal text: Fail
Greyscale equivalent#373737
Inverted#FFBF7F

Colour vision & accessibility

Protanopia#194682no red cones; affects about 1% of men; ΔE 4 from the original
Deuteranopia#003C7Fno green cones; the most common form, about 1% of men; ΔE 3.1 from the original
Tritanopia#005059no blue cones; rare, and affects men and women equally; ΔE 40 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text10.27:1WCAG large text: AAA
Contrast with black, large text2.05:1WCAG large text: Fail

Named colours

Nearest named CSS colourDark slateblue (#483D8B)ΔE 17.32, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#804000
Analogous#008080, #000080
Triadic#800040, #408000
Split complementary#800000, #808000
Tetradic#800080, #804000, #008000

Tints, shades & saturation

Lighter +40%#4DA6FF
Lighter +30%#1A8CFF
Lighter +20%#0073E6
Lighter +10%#005AB3
Darker −10%#00274D
Darker −20%#000D1A
Darker −30%#000000
Darker −40%#000000
More saturated +25%#004080
Less saturated −25%#104070

Channel breakdown

R0
G64
B128
Red0 (0%)
Green64 (25.1%)
Blue128 (50.2%)
Hue210°
Saturation (HSL)100%
Lightness25.1%
Dominant channelBlue
Hex per channelR 00 · G 40 · B 80

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Every value on this page was computed from “004080” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.

This page is marked noindex: duplicate of /4080.