Recognised as Number
1,080
- Positive
- Even
- Composite
- 4 digits
1,080 is an even 4-digit integer and a composite number. It has 32 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,080
Digit count4
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 factorisation2^3 × 3^3 × 5
Distinct prime factors32, 3, 5
Number of divisors32
Sum of divisors σ(n)3,600
Aliquot sum2,520sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)288integers below n that share no factor with it
Carmichael function λ(n)36the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 288
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1,08032 in total
Arithmetic
Representations
Decimal1,080
Binary1000011100011 bits
Octal2070
Hexadecimal438
Base 36U0
Roman numeralMLXXX
In wordsone thousand and eighty
Ordinalone thousand and eightieth
Scientific notation1.08 × 10^3
Engineering notation1.08 × 10^3
In other bases
Ternary1111000base 3; the most digit-efficient integer base after e: 7 digits
Quinary13310base 5; one hand: 5 digits
Septenary3102base 7: 4 digits
Nonary1430base 9; each digit is two ternary digits: 4 digits
Duodecimal760base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2e0base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal18:0base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1111000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10001001000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000010000111000
Bit length11 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits7within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 10worth 1,024
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes204 38
Gray code11000100100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000010000111000
32-bit00000000000000000000010000111000
64-bit0000000000000000000000000000000000000000000000000000010000111000
One's complement1111101111000111at 16 bits, every bit flipped
Bits reversed0001110000100000at 16 bits
Rotated left by 10000100001110000at 16 bits, wrapping
Shifted left by 1100001110000= 2,160, no wrap
Shifted right by 11000011100= 540, discarding the low bit
These bits as a double5.33590898 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,080 to the power 21,166,400
1,080 to the power 31,259,712,000
1,080 to the power 41,360,488,960,000
1,080 to the power 51,469,328,076,800,000
First ten multiples1,080, 2,160, 3,240, 4,320, 5,400, 6,480, 7,560, 8,640, 9,720, 10,800
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 2
Divisible by 8Yes
Divisible by 9Yes
Divisible by 10Yes
Divisible by 11No, remainder 2
Divisible by 12Yes
Divisible by 100No, remainder 80
Collatz (3n + 1) trajectory
Steps to reach 144the total stopping time
Highest value reached1,080
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,080 → 540 → 270 → 135 → 406 → 203 → 610 → 305 → 916 → 458 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage108,000%
1,080% as a decimal10.8
1,080% of 1001,080
1,080% of 1,00010,800
As a fraction of 1001,080/100
Read another way
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Derived from 1,080
Also reads as
1080 (year)
- Leap year
- 366 days
- 11th century
- Monkey
- 53 ISO weeks
1080 was a leap year of 366 days. It began on a Thursday and ended on a Friday. Easter Sunday fell on 18 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Thursday and Friday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays53one of the extras
Fridays53one of the extras
Saturdays52
Friday the 13th2 of them13 February, 13 August
ISO weeks53a long year: 1 January is a Thursday, or a Wednesday in a leap year, so a week 53 exists
Same calendar as1052the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1120, 1148, 117640 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1080
January31 days, starts Thursday
February29 days, starts Sunday
August31 days, starts Sunday
September30 days, starts Wednesday
October31 days, starts Friday
November30 days, starts Monday
December31 days, starts Wednesday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start-28,085,702,400
Unix timestamp at the end-28,054,080,001
Years from now946 years ago
Days from today345,775 days since 1 January
The number 1080
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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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