Recognised as Number
1,184
- Positive
- Even
- Composite
- 4 digits
1,184 is an even 4-digit integer and a composite number. It has 12 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,184
Digit count4
Digit sum14
Digit product32
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^5 × 37
Distinct prime factors22, 37
Number of divisors12
Sum of divisors σ(n)2,394
Aliquot sum1,210sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)576integers below n that share no factor with it
Carmichael function λ(n)72the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 576
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1,18412 in total
Arithmetic
Representations
Decimal1,184
Binary1001010000011 bits
Octal2240
Hexadecimal4A0
Base 36WW
Roman numeralMCLXXXIV
In wordsone thousand, one hundred and eighty-four
Ordinalone thousand, one hundred and eighty-fourth
Scientific notation1.184 × 10^3
Engineering notation1.184 × 10^3
In other bases
Ternary1121212base 3; the most digit-efficient integer base after e: 7 digits
Quinary14214base 5; one hand: 5 digits
Septenary3311base 7: 4 digits
Nonary1555base 9; each digit is two ternary digits: 4 digits
Duodecimal828base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2j4base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal19:44base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TT0T0TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10111100000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000010010100000
Bit length11 bitsto write the magnitude
Set bits3the population count, or Hamming weight
Zero bits8within that length
Bit parityodd3 set bits, so odd; not the same as the number itself being even
Highest set bitbit 10worth 1,024
Lowest set bitbit 55 trailing zeros
Power of twoNo
Bytes204 a0
Gray code11011110000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000010010100000
32-bit00000000000000000000010010100000
64-bit0000000000000000000000000000000000000000000000000000010010100000
One's complement1111101101011111at 16 bits, every bit flipped
Bits reversed0000010100100000at 16 bits
Rotated left by 10000100101000000at 16 bits, wrapping
Shifted left by 1100101000000= 2,368, no wrap
Shifted right by 11001010000= 592, discarding the low bit
These bits as a double5.84973725 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,184 to the power 21,401,856
1,184 to the power 31,659,797,504
1,184 to the power 41,965,200,244,736
1,184 to the power 52,326,797,089,767,424
First ten multiples1,184, 2,368, 3,552, 4,736, 5,920, 7,104, 8,288, 9,472, 10,656, 11,840
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5No, remainder 4
Divisible by 6No, remainder 2
Divisible by 7No, remainder 1
Divisible by 8Yes
Divisible by 9No, remainder 5
Divisible by 10No, remainder 4
Divisible by 11No, remainder 7
Divisible by 12No, remainder 8
Divisible by 100No, remainder 84
Collatz (3n + 1) trajectory
Steps to reach 126the total stopping time
Highest value reached1,184
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,184 → 592 → 296 → 148 → 74 → 37 → 112 → 56 → 28 → 14 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage118,400%
1,184% as a decimal11.84
1,184% of 1001,184
1,184% of 1,00011,840
As a fraction of 1001,184/100
Read another way
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Derived from 1,184
Also reads as
1184 (year)
- Leap year
- 366 days
- 12th century
- Dragon
1184 was a leap year of 366 days. It began on a Sunday and ended on a Monday. Easter Sunday fell on 8 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Sunday and Monday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays53one of the extras
Mondays53one of the extras
Tuesdays52
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th3 of them13 January, 13 April, 13 July
ISO weeks52an ordinary 52-week year
Same calendar as1156the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1212, 1240, 126828 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1184
January31 days, starts Sunday
February29 days, starts Wednesday
September30 days, starts Saturday
October31 days, starts Monday
November30 days, starts Thursday
December31 days, starts Saturday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start-24,803,798,400
Unix timestamp at the end-24,772,176,001
Years from now842 years ago
Days from today307,797 days since 1 January
The number 1184
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Also reads as
#111188 (colour)
- #111188
- Blue
- Dark
- Nearest: Navy
#111188 is a blue with RGB values 17, 17, 136 and HSL 240°, 78%, 30%. It is a dark colour, so white text on it reaches 14.4:1 contrast (AAA for normal text). The nearest named colour is Navy.
Colour values
#111188#111188
HEX#111188
HEX (short)#118
RGBrgb(17, 17, 136)
RGB (0–1)0.0667, 0.0667, 0.5333
RGB percentages6.7%, 6.7%, 53.3%
HSLhsl(240, 77.8%, 30%)
HSV / HSBhsv(240, 87.5%, 53.3%)
CMYK87.5%, 87.5%, 0%, 46.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,118,600
CSS custom property--colour: #111188;
Brightness & contrast
Relative luminance0.02298WCAG 2.x, 0 is black and 1 is white
Perceived brightness48.6 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 14.39:1
Contrast with white14.39:1WCAG normal text: AAA
Contrast with black1.46:1WCAG normal text: Fail
Greyscale equivalent#1A1A1A
Inverted#EEEE77
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text14.39:1WCAG large text: AAA
Contrast with black, large text1.46:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#888811
Analogous#114D88, #4D1188
Triadic#881111, #118811
Split complementary#884D11, #4D8811
Tetradic#88114D, #888811, #11884D
Tints, shades & saturation
Channel breakdown
R17
G17
B136
Red17 (6.7%)
Green17 (6.7%)
Blue136 (53.3%)
Hue240°
Saturation (HSL)77.78%
Lightness30%
Dominant channelBlue
Hex per channelR 11 · G 11 · B 88
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