Nerdulator> put something in

Number

311

  • Positive
  • Odd
  • Prime
  • 3 digits

311 is an odd 3-digit integer and a prime number. It has 2 divisors and a digital root of 5.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value311
Digit count3
Digit sum5
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation311
Distinct prime factors1311
Number of divisors2
Sum of divisors σ(n)312
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)310integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 3112 in total

Arithmetic

Previous number310
Next number312
Double622
Half155.5
Square96,721
Square root17.635192089irrational, shown to 9 decimal places
Cube root6.775168952
Negation-311
Reciprocal0.0032154341
311 factorial6737264760020443459460661673460164539328… (642 digits)

Representations

Decimal311
Binary1001101119 bits
Octal467
Hexadecimal137
Base 368N
Roman numeralCCCXI
In wordsthree hundred and eleven
Ordinalthree hundred and eleventh
Scientific notation3.11 × 10^2
Engineering notation311

Nearest landmarks

Next prime313+2
Previous prime307−4
Distance to nearest prime0, it is prime
Nearest square below289
Nearest square above324

Powers & multiples

311 to the power 296,721
311 to the power 330,080,231
311 to the power 49,354,951,841
311 to the power 52,909,390,022,551
First ten multiples311, 622, 933, 1,244, 1,555, 1,866, 2,177, 2,488, 2,799, 3,110
Powers of twoBetween 2^8 (256) and 2^9 (512)

Divisibility tests

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

Collatz (3n + 1) trajectory

Steps to reach 186the total stopping time
Highest value reached9,23229× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps311 → 934 → 467 → 1,402 → 701 → 2,104 → 1,052 → 526 → 263 → 790 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage31,100%
311% as a decimal3.11
311% of 100311
311% of 1,0003,110
As a fraction of 100311/100

Read another way

As bytes311 B
As a 24-bit colour#000137

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Also reads as

#331111 (colour)

  • #331111
  • Red
  • Dark
  • Nearest: Black

#331111 is a red with RGB values 51, 17, 17 and HSL 0°, 50%, 13%. It is a dark colour, so white text on it reaches 17.1:1 contrast (AAA for normal text). The nearest named colour is Black.

Open this reading on its own page →

Colour values

#331111#331111
HEX#331111
HEX (short)#311
RGBrgb(51, 17, 17)
RGB (0–1)0.2, 0.0667, 0.0667
RGB percentages20%, 6.7%, 6.7%
HSLhsl(0, 50%, 13.3%)
HSV / HSBhsv(0, 66.7%, 20%)
CMYK0%, 66.7%, 66.7%, 80%naive device-independent conversion; real print needs an ICC profile
24-bit integer3,346,705
CSS custom property--colour: #331111;

Brightness & contrast

Relative luminance0.01145WCAG 2.x, 0 is black and 1 is white
Perceived brightness31.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 17.09:1
Contrast with white17.09:1WCAG normal text: AAA
Contrast with black1.23:1WCAG normal text: Fail
Greyscale equivalent#181818
Inverted#CCEEEE

Colour vision & accessibility

Protanopia#191711no red cones; affects about 1% of men; ΔE 18.2 from the original
Deuteranopia#221E10no green cones; the most common form, about 1% of men; ΔE 18.1 from the original
Tritanopia#380B11no blue cones; rare, and affects men and women equally; ΔE 5.5 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text17.09:1WCAG large text: AAA
Contrast with black, large text1.23:1WCAG large text: Fail

Named colours

Nearest named CSS colourBlack (#000000)ΔE 21.52, a distinctly different colour
Hue familyred
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#113333
Analogous#331122, #332211
Triadic#113311, #111133
Split complementary#113322, #112233
Tetradic#223311, #113333, #221133

Tints, shades & saturation

Lighter +40%#C44C4C
Lighter +30%#A63737
Lighter +20%#802A2A
Lighter +10%#591E1E
Darker −10%#0D0404
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#3C0808
Less saturated −25%#2B1919

Channel breakdown

R51
G17
B17
Red51 (20%)
Green17 (6.7%)
Blue17 (6.7%)
Hue
Saturation (HSL)50%
Lightness13.33%
Dominant channelRed
Hex per channelR 33 · G 11 · B 11

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Nerdulate something else

Nothing in mind? Surprise me · today’s page

Every value on this page was computed from “311” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.