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Number

508

  • Positive
  • Even
  • Composite
  • 3 digits

508 is an even 3-digit integer and a composite number. It has 6 divisors and a digital root of 4.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value508
Digit count3
Digit sum13
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 127
Distinct prime factors22, 127
Number of divisors6
Sum of divisors σ(n)896
Aliquot sum388sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)252integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 127, 254, 5086 in total

Arithmetic

Previous number507
Next number509
Double1,016
Half254
Square258,064
Square root22.538855339irrational, shown to 9 decimal places
Cube root7.979112176
Negation-508
Reciprocal0.0019685039
508 factorial5119906927755879266003615258191853797984… (1,156 digits)

Representations

Decimal508
Binary1111111009 bits
Octal774
Hexadecimal1FC
Base 36E4
Roman numeralDVIII
In wordsfive hundred and eight
Ordinalfive hundred and eighth
Scientific notation5.08 × 10^2
Engineering notation508

Nearest landmarks

Next prime509+1
Previous prime503−5
Distance to nearest prime1
Nearest square below484
Nearest square above529

Powers & multiples

508 to the power 2258,064
508 to the power 3131,096,512
508 to the power 466,597,028,096
508 to the power 533,831,290,272,768
First ten multiples508, 1,016, 1,524, 2,032, 2,540, 3,048, 3,556, 4,064, 4,572, 5,080
Powers of twoBetween 2^8 (256) and 2^9 (512)

Divisibility tests

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

Collatz (3n + 1) trajectory

Steps to reach 148the total stopping time
Highest value reached4,3728× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps508 → 254 → 127 → 382 → 191 → 574 → 287 → 862 → 431 → 1,294 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage50,800%
508% as a decimal5.08
508% of 100508
508% of 1,0005,080
As a fraction of 100508/100

Read another way

As bytes508 B
As a 24-bit colour#0001FC

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Also reads as

#550088 (colour)

  • #550088
  • Violet
  • Dark
  • Nearest: Indigo

#550088 is a violet with RGB values 85, 0, 136 and HSL 278°, 100%, 27%. It is a dark colour, so white text on it reaches 12.1:1 contrast (AAA for normal text). The nearest named colour is Indigo.

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Colour values

#550088#550088
HEX#550088
HEX (short)#508
RGBrgb(85, 0, 136)
RGB (0–1)0.3333, 0, 0.5333
RGB percentages33.3%, 0%, 53.3%
HSLhsl(277.5, 100%, 26.7%)
HSV / HSBhsv(277.5, 100%, 53.3%)
CMYK37.5%, 100%, 0%, 46.7%naive device-independent conversion; real print needs an ICC profile
24-bit integer5,570,696
CSS custom property--colour: #550088;

Brightness & contrast

Relative luminance0.03709WCAG 2.x, 0 is black and 1 is white
Perceived brightness65.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 12.06:1
Contrast with white12.06:1WCAG normal text: AAA
Contrast with black1.74:1WCAG normal text: Fail
Greyscale equivalent#1C1C1C
Inverted#AAFF77

Colour vision & accessibility

Protanopia#00348Bno red cones; affects about 1% of men; ΔE 31.8 from the original
Deuteranopia#003686no green cones; the most common form, about 1% of men; ΔE 35.6 from the original
Tritanopia#4B304Eno blue cones; rare, and affects men and women equally; ΔE 53.7 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text12.06:1WCAG large text: AAA
Contrast with black, large text1.74:1WCAG large text: Fail

Named colours

Nearest named CSS colourIndigo (#4B0082)ΔE 3.27, a close match
Hue familyviolet
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#338800
Analogous#110088, #880077
Triadic#885500, #008855
Split complementary#778800, #008811
Tetradic#881100, #338800, #007788

Tints, shades & saturation

Lighter +40%#BF55FF
Lighter +30%#AC22FF
Lighter +20%#9500EE
Lighter +10%#7500BB
Darker −10%#350055
Darker −20%#150022
Darker −30%#000000
Darker −40%#000000
More saturated +25%#550088
Less saturated −25%#511177

Channel breakdown

R85
G0
B136
Red85 (33.3%)
Green0 (0%)
Blue136 (53.3%)
Hue277.5°
Saturation (HSL)100%
Lightness26.67%
Dominant channelBlue
Hex per channelR 55 · G 00 · B 88

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Also reads as

HTTP 508 Loop Detected (http status)

  • 508 Loop Detected
  • Server error
  • RFC 5842

HTTP 508 Loop Detected is a server error response: an infinite loop was found while processing (WebDAV). It is defined in RFC 5842, and the server failed to fulfil an apparently valid request.

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What it means

Status code508
Reason phraseLoop Detectedadvisory only; clients must not depend on the wording
Class5xx Server error
MeaningAn infinite loop was found while processing (WebDAV)
Defined inRFC 5842
Cacheable by defaultNoonly cacheable if the response says so explicitly

How clients behave

Indicates an errorYes
Whose faultThe server
Body expectedUsually
Safe to retry automaticallyNo

The 5xx class

Class meaningThe server failed to fulfil an apparently valid request
Codes in this class11
Lowest in class500
Highest in class511

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Every value on this page was computed from “508” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.