Recognised as Number
180
- Positive
- Even
- Composite
- 3 digits
180 is an even 3-digit integer and a composite number. It has 18 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value180
Digit count3
Digit sum9
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 3^2 × 5
Distinct prime factors32, 3, 5
Number of divisors18
Sum of divisors σ(n)546
Aliquot sum366sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)48integers below n that share no factor with it
Carmichael function λ(n)12the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 48
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 18018 in total
Arithmetic
Representations
Decimal180
Binary101101008 bits
Octal264
HexadecimalB4
Base 3650
Roman numeralCLXXX
In wordsone hundred and eighty
Ordinalone hundred and eightieth
Scientific notation1.8 × 10^2
Engineering notation180
In other bases
Ternary20200base 3; the most digit-efficient integer base after e: 5 digits
Quinary1210base 5; one hand: 4 digits
Septenary345base 7: 3 digits
Nonary220base 9; each digit is two ternary digits: 3 digits
Duodecimal130base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal90base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal3:0base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1T1T00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111110100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
10110100
Bit length8 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits4within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 7worth 128
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes1b4
Gray code11101110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
8-bit10110100
16-bit0000000010110100
32-bit00000000000000000000000010110100
64-bit0000000000000000000000000000000000000000000000000000000010110100
One's complement01001011at 8 bits, every bit flipped
Bits reversed00101101at 8 bits
Rotated left by 101101001at 8 bits, wrapping
Shifted left by 1101101000= 360, no wrap
Shifted right by 11011010= 90, discarding the low bit
These bits as a double8.89318163 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
180 to the power 232,400
180 to the power 35,832,000
180 to the power 41,049,760,000
180 to the power 5188,956,800,000
First ten multiples180, 360, 540, 720, 900, 1,080, 1,260, 1,440, 1,620, 1,800
Powers of twoBetween 2^7 (128) and 2^8 (256)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 5
Divisible by 8No, remainder 4
Divisible by 9Yes
Divisible by 10Yes
Divisible by 11No, remainder 4
Divisible by 12Yes
Divisible by 100No, remainder 80
Collatz (3n + 1) trajectory
Steps to reach 118the total stopping time
Highest value reached180
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps180 → 90 → 45 → 136 → 68 → 34 → 17 → 52 → 26 → 13 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage18,000%
180% as a decimal1.8
180% of 100180
180% of 1,0001,800
As a fraction of 100180/100
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from 180
Other readings
Also reads as
#118800 (colour)
- #118800
- Green
- Dark
- Nearest: Green
#118800 is a green with RGB values 17, 136, 0 and HSL 113°, 100%, 27%. It is a dark colour, so white text on it reaches 4.6:1 contrast (AA for normal text). The nearest named colour is Green.
Colour values
#118800#118800
HEX#118800
HEX (short)#180
RGBrgb(17, 136, 0)
RGB (0–1)0.0667, 0.5333, 0
RGB percentages6.7%, 53.3%, 0%
HSLhsl(112.5, 100%, 26.7%)
HSV / HSBhsv(112.5, 100%, 53.3%)
CMYK87.5%, 0%, 100%, 46.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,148,928
CSS custom property--colour: #118800;
Brightness & contrast
Relative luminance0.17727WCAG 2.x, 0 is black and 1 is white
Perceived brightness104.6 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 4.62:1
Contrast with white4.62:1WCAG normal text: AA
Contrast with black4.55:1WCAG normal text: AA
Greyscale equivalent#656565
Inverted#EE77FF
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text4.62:1WCAG large text: AAA
Contrast with black, large text4.55:1WCAG large text: AAA
Named colours
Hue familygreen
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#770088
Analogous#558800, #008833
Triadic#001188, #880011
Split complementary#330088, #880055
Tetradic#005588, #770088, #883300
Tints, shades & saturation
Channel breakdown
R17
G136
B0
Red17 (6.7%)
Green136 (53.3%)
Blue0 (0%)
Hue112.5°
Saturation (HSL)100%
Lightness26.67%
Dominant channelGreen
Hex per channelR 11 · G 88 · B 00
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Harmonies
Similar named colours
Nerdulate something else
Nothing in mind? Surprise me · today’s page