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Number

111

  • Positive
  • Odd
  • Composite
  • 3 digits

111 is an odd 3-digit integer and a composite number. It has 4 divisors and a digital root of 3.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value111
Digit count3
Digit sum3
Digital root3repeated digit sum
PalindromicYesreads the same backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation3 × 37
Distinct prime factors23, 37
Number of divisors4
Sum of divisors σ(n)152
Aliquot sum41sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)72integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 3, 37, 1114 in total

Arithmetic

Previous number110
Next number112
Double222
Half55.5
Square12,321
Square root10.535653753irrational, shown to 9 decimal places
Cube root4.805895534
Negation-111
Reciprocal0.009009009
111 factorial1762952551090244663872161047107075788761… (181 digits)

Representations

Decimal111
Binary11011117 bits
Octal157
Hexadecimal6F
Base 3633
Roman numeralCXI
In wordsone hundred and eleven
Ordinalone hundred and eleventh
Scientific notation1.11 × 10^2
Engineering notation111

Nearest landmarks

Next prime113+2
Previous prime109−2
Distance to nearest prime2
Nearest square below100
Nearest square above121

Powers & multiples

111 to the power 212,321
111 to the power 31,367,631
111 to the power 4151,807,041
111 to the power 516,850,581,551
First ten multiples111, 222, 333, 444, 555, 666, 777, 888, 999, 1,110
Powers of twoBetween 2^6 (64) and 2^7 (128)

Divisibility tests

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

Collatz (3n + 1) trajectory

Steps to reach 169the total stopping time
Highest value reached9,23283× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps111 → 334 → 167 → 502 → 251 → 754 → 377 → 1,132 → 566 → 283 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage11,100%
111% as a decimal1.11
111% of 100111
111% of 1,0001,110
As a fraction of 100111/100

Read another way

As bytes111 B
As a 24-bit colour#00006F

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Also reads as

#111111 (colour)

  • #111111
  • Near-black
  • Dark
  • Nearest: Black

#111111 is a near-black with RGB values 17, 17, 17 and HSL 0°, 0%, 7%. It is a dark colour, so white text on it reaches 18.9:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#111111#111111
HEX#111111
HEX (short)#111
RGBrgb(17, 17, 17)
RGB (0–1)0.0667, 0.0667, 0.0667
RGB percentages6.7%, 6.7%, 6.7%
HSLhsl(0, 0%, 6.7%)
HSV / HSBhsv(0, 0%, 6.7%)
CMYK0%, 0%, 0%, 93.3%naive device-independent conversion; real print needs an ICC profile
24-bit integer1,118,481
CSS custom property--colour: #111111;

Brightness & contrast

Relative luminance0.00561WCAG 2.x, 0 is black and 1 is white
Perceived brightness17 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 18.88:1
Contrast with white18.88:1WCAG normal text: AAA
Contrast with black1.11:1WCAG normal text: Fail
Greyscale equivalent#111111
Inverted#EEEEEE

Colour vision & accessibility

Protanopia#111111no red cones; affects about 1% of men; ΔE 0 from the original
Deuteranopia#111111no green cones; the most common form, about 1% of men; ΔE 0 from the original
Tritanopia#111111no blue cones; rare, and affects men and women equally; ΔE 0 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text18.88:1WCAG large text: AAA
Contrast with black, large text1.11:1WCAG large text: Fail

Named colours

Nearest named CSS colourBlack (#000000)ΔE 5.06, clearly different but related
Hue familynear-black
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#111111
Analogous#111111, #111111
Triadic#111111, #111111
Split complementary#111111, #111111
Tetradic#111111, #111111, #111111

Tints, shades & saturation

Lighter +40%#777777
Lighter +30%#5E5E5E
Lighter +20%#444444
Lighter +10%#2B2B2B
Darker −10%#000000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#150D0D
Less saturated −25%#111111

Channel breakdown

R17
G17
B17
Red17 (6.7%)
Green17 (6.7%)
Blue17 (6.7%)
Hue
Saturation (HSL)0%
Lightness6.67%
Dominant channelNone: the channels are equal (a neutral grey)
Hex per channelR 11 · G 11 · B 11

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Every value on this page was computed from “111” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.