Number
1,089
- Positive
- Odd
- Composite
- Perfect square
- 4 digits
1,089 is an odd 4-digit integer and a composite number. It has 9 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value1,089
Digit count4
Digit sum18
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Perfect squareYes, 33²
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation3^2 × 11^2
Distinct prime factors23, 11
Number of divisors9
Sum of divisors σ(n)1,729
Aliquot sum640sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)660integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 11, 33, 99, 121, 363, 1,0899 in total
Arithmetic
Representations
Decimal1,089
Binary1000100000111 bits
Octal2101
Hexadecimal441
Base 36U9
Roman numeralMLXXXIX
In wordsone thousand and eighty-nine
Ordinalone thousand and eighty-ninth
Scientific notation1.089 × 10^3
Engineering notation1.089 × 10^3
Nearest landmarks
Powers & multiples
1,089 to the power 21,185,921
1,089 to the power 31,291,467,969
1,089 to the power 41,406,408,618,241
1,089 to the power 51,531,578,985,264,449
First ten multiples1,089, 2,178, 3,267, 4,356, 5,445, 6,534, 7,623, 8,712, 9,801, 10,890
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
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 7No, remainder 4
Divisible by 8No, remainder 1
Divisible by 9Yes
Divisible by 10No, remainder 9
Divisible by 11Yes
Divisible by 12No, remainder 9
Divisible by 100No, remainder 89
Collatz (3n + 1) trajectory
Steps to reach 144the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,089 → 3,268 → 1,634 → 817 → 2,452 → 1,226 → 613 → 1,840 → 920 → 460 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage108,900%
1,089% as a decimal10.89
1,089% of 1001,089
1,089% of 1,00010,890
As a fraction of 1001,089/100
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Derived from 1,089
Also reads as
1089 (year)
- Common year
- 365 days
- 11th century
- Snake
1089 was a common year of 365 days. It began on a Tuesday and ended on a Tuesday. Easter Sunday fell on 7 April.
Structure of the year
Months of 1089
January31 days, starts Tuesday
February28 days, starts Friday
August31 days, starts Thursday
September30 days, starts Sunday
October31 days, starts Tuesday
November30 days, starts Friday
December31 days, starts Sunday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start-27,801,619,200
Unix timestamp at the end-27,770,083,201
Years from now937 years ago
Days from today342,483 days since 1 January
The number 1089
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Also reads as
#110088 (colour)
- #110088
- Blue
- Dark
- Nearest: Dark blue
#110088 is a blue with RGB values 17, 0, 136 and HSL 248°, 100%, 27%. It is a dark colour, so white text on it reaches 15.2:1 contrast (AAA for normal text). The nearest named colour is Dark blue.
Colour values
#110088#110088
HEX#110088
HEX (short)#108
RGBrgb(17, 0, 136)
RGB (0–1)0.0667, 0, 0.5333
RGB percentages6.7%, 0%, 53.3%
HSLhsl(247.5, 100%, 26.7%)
HSV / HSBhsv(247.5, 100%, 53.3%)
CMYK87.5%, 100%, 0%, 46.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,114,248
CSS custom property--colour: #110088;
Brightness & contrast
Relative luminance0.01897WCAG 2.x, 0 is black and 1 is white
Perceived brightness46.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 15.22:1
Contrast with white15.22:1WCAG normal text: AAA
Contrast with black1.38:1WCAG normal text: Fail
Greyscale equivalent#0D0D0D
Inverted#EEFF77
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text15.22:1WCAG large text: AAA
Contrast with black, large text1.38:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#778800
Analogous#003388, #550088
Triadic#881100, #008811
Split complementary#885500, #338800
Tetradic#880033, #778800, #008855
Tints, shades & saturation
Channel breakdown
R17
G0
B136
Red17 (6.7%)
Green0 (0%)
Blue136 (53.3%)
Hue247.5°
Saturation (HSL)100%
Lightness26.67%
Dominant channelBlue
Hex per channelR 11 · G 00 · B 88
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