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Number

107

  • Positive
  • Odd
  • Prime
  • 3 digits

107 is an odd 3-digit integer and a prime number. It has 2 divisors and a digital root of 8.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value107
Digit count3
Digit sum8
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation107
Distinct prime factors1107
Number of divisors2
Sum of divisors σ(n)108
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)106integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 1072 in total

Arithmetic

Previous number106
Next number108
Double214
Half53.5
Square11,449
Square root10.344080433irrational, shown to 9 decimal places
Cube root4.747459399
Negation-107
Reciprocal0.0093457944
107 factorial1226520203196137939351751701038733888713… (173 digits)

Representations

Decimal107
Binary11010117 bits
Octal153
Hexadecimal6B
Base 362Z
Roman numeralCVII
In wordsone hundred and seven
Ordinalone hundred and seventh
Scientific notation1.07 × 10^2
Engineering notation107

Nearest landmarks

Next prime109+2
Previous prime103−4
Distance to nearest prime0, it is prime
Nearest square below100
Nearest square above121

Powers & multiples

107 to the power 211,449
107 to the power 31,225,043
107 to the power 4131,079,601
107 to the power 514,025,517,307
First ten multiples107, 214, 321, 428, 535, 642, 749, 856, 963, 1,070
Powers of twoBetween 2^6 (64) and 2^7 (128)

Divisibility tests

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

Collatz (3n + 1) trajectory

Steps to reach 1100the total stopping time
Highest value reached9,23286× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps107 → 322 → 161 → 484 → 242 → 121 → 364 → 182 → 91 → 274 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage10,700%
107% as a decimal1.07
107% of 100107
107% of 1,0001,070
As a fraction of 100107/100

Read another way

As bytes107 B
As a 24-bit colour#00006B

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Also reads as

#110077 (colour)

  • #110077
  • Blue
  • Dark
  • Nearest: Navy

#110077 is a blue with RGB values 17, 0, 119 and HSL 249°, 100%, 23%. It is a dark colour, so white text on it reaches 16.3:1 contrast (AAA for normal text). The nearest named colour is Navy.

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Colour values

#110077#110077
HEX#110077
HEX (short)#107
RGBrgb(17, 0, 119)
RGB (0–1)0.0667, 0, 0.4667
RGB percentages6.7%, 0%, 46.7%
HSLhsl(248.6, 100%, 23.3%)
HSV / HSBhsv(248.6, 100%, 46.7%)
CMYK85.7%, 100%, 0%, 53.3%naive device-independent conversion; real print needs an ICC profile
24-bit integer1,114,231
CSS custom property--colour: #110077;

Brightness & contrast

Relative luminance0.01451WCAG 2.x, 0 is black and 1 is white
Perceived brightness41.2 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 16.28:1
Contrast with white16.28:1WCAG normal text: AAA
Contrast with black1.29:1WCAG normal text: Fail
Greyscale equivalent#0C0C0C
Inverted#EEFF88

Colour vision & accessibility

Protanopia#00267Ano red cones; affects about 1% of men; ΔE 23.3 from the original
Deuteranopia#001A75no green cones; the most common form, about 1% of men; ΔE 15.9 from the original
Tritanopia#002E43no blue cones; rare, and affects men and women equally; ΔE 66.7 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text16.28:1WCAG large text: AAA
Contrast with black, large text1.29:1WCAG large text: Fail

Named colours

Nearest named CSS colourNavy (#000080)ΔE 5.17, clearly different but related
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#667700
Analogous#002B77, #4C0077
Triadic#771100, #007711
Split complementary#774C00, #2B7700
Tetradic#77002B, #667700, #00774C

Tints, shades & saturation

Lighter +40%#5F44FF
Lighter +30%#3311FF
Lighter +20%#2000DD
Lighter +10%#1800AA
Darker −10%#0A0044
Darker −20%#020011
Darker −30%#000000
Darker −40%#000000
More saturated +25%#110077
Less saturated −25%#1C0F68

Channel breakdown

R17
G0
B119
Red17 (6.7%)
Green0 (0%)
Blue119 (46.7%)
Hue248.57°
Saturation (HSL)100%
Lightness23.33%
Dominant channelBlue
Hex per channelR 11 · G 00 · B 77

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Every value on this page was computed from “107” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.