Recognised as Number
189
- Positive
- Odd
- Composite
- 3 digits
189 is an odd 3-digit integer and a composite number. It has 8 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value189
Digit count3
Digit sum18
Digit product72
Multiplicative persistence3times 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 numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation3^3 × 7
Distinct prime factors23, 7
Number of divisors8
Sum of divisors σ(n)320
Aliquot sum131sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)108integers below n that share no factor with it
Carmichael function λ(n)18the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 108
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 3, 7, 9, 21, 27, 63, 1898 in total
Arithmetic
Representations
Decimal189
Binary101111018 bits
Octal275
HexadecimalBD
Base 3659
Roman numeralCLXXXIX
In wordsone hundred and eighty-nine
Ordinalone hundred and eighty-ninth
Scientific notation1.89 × 10^2
Engineering notation189
In other bases
Ternary21000base 3; the most digit-efficient integer base after e — 5 digits
Quinary1224base 5; one hand — 4 digits
Septenary360base 7 — 3 digits
Nonary230base 9; each digit is two ternary digits — 3 digits
Duodecimal139base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves — 3 digits
Vigesimal99base 20; hands and feet, and the Mayan and Yoruba systems — 2 digits
Sexagesimal3:9base 60; Babylonian, and still how an hour and a circle are divided — 2 digits
Balanced ternary1T1000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111001101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
10111101
Bit length8 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits2within that length
Bit parityeven6 set bits, so even; not the same as the number itself being odd
Highest set bitbit 7worth 128
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes1bd
Gray code11100011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
8-bit10111101
16-bit0000000010111101
32-bit00000000000000000000000010111101
64-bit0000000000000000000000000000000000000000000000000000000010111101
One's complement01000010at 8 bits, every bit flipped
Bits reversed10111101at 8 bits
Rotated left by 101111011at 8 bits, wrapping
Shifted left by 1101111010= 378, no wrap
Shifted right by 11011110= 94, discarding the low bit
These bits as a double9.33784071 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
189 to the power 235,721
189 to the power 36,751,269
189 to the power 41,275,989,841
189 to the power 5241,162,079,949
First ten multiples189, 378, 567, 756, 945, 1,134, 1,323, 1,512, 1,701, 1,890
Powers of twoBetween 2^7 (128) and 2^8 (256)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 4
Divisible by 6No, remainder 3
Divisible by 7Yes
Divisible by 8No, remainder 5
Divisible by 9Yes
Divisible by 10No, remainder 9
Divisible by 11No, remainder 2
Divisible by 12No, remainder 9
Divisible by 100No, remainder 89
Collatz (3n + 1) trajectory
Steps to reach 1106the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps189 → 568 → 284 → 142 → 71 → 214 → 107 → 322 → 161 → 484 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage18,900%
189% as a decimal1.89
189% of 100189
189% of 1,0001,890
As a fraction of 100189/100
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Derived from 189
Other readings
Also reads as
#118899 (colour)
- #118899
- Cyan
- Dark
- Nearest: Dark cyan
#118899 is a cyan with RGB values 17, 136, 153 and HSL 188°, 80%, 33%. It is a dark colour, so black text on it reaches 5:1 contrast (AA for normal text). The nearest named colour is Dark cyan.
Colour values
#118899#118899
HEX#118899
HEX (short)#189
RGBrgb(17, 136, 153)
RGB (0–1)0.0667, 0.5333, 0.6
RGB percentages6.7%, 53.3%, 60%
HSLhsl(187.5, 80%, 33.3%)
HSV / HSBhsv(187.5, 88.9%, 60%)
CMYK88.9%, 11.1%, 0%, 40%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,149,081
CSS custom property--colour: #118899;
Brightness & contrast
Relative luminance0.20027WCAG 2.x, 0 is black and 1 is white
Perceived brightness116.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundBlackcontrast 5.01:1
Contrast with white4.2:1WCAG normal text: Fail
Contrast with black5.01:1WCAG normal text: AA
Greyscale equivalent#707070
Inverted#EE7766
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text4.2:1WCAG large text: AA
Contrast with black, large text5.01:1WCAG large text: AAA
Named colours
Hue familycyan
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#992211
Analogous#119966, #114499
Triadic#991188, #889911
Split complementary#991144, #996611
Tetradic#661199, #992211, #449911
Tints, shades & saturation
Channel breakdown
R17
G136
B153
Red17 (6.7%)
Green136 (53.3%)
Blue153 (60%)
Hue187.5°
Saturation (HSL)80%
Lightness33.33%
Dominant channelBlue
Hex per channelR 11 · G 88 · B 99
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