Recognised as Number
1,164
- Positive
- Even
- Composite
- 4 digits
1,164 is an even 4-digit integer and a composite number. It has 12 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,164
Digit count4
Digit sum12
Digit product24
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 3 × 97
Distinct prime factors32, 3, 97
Number of divisors12
Sum of divisors σ(n)2,744
Aliquot sum1,580sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)384integers below n that share no factor with it
Carmichael function λ(n)96the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 384
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1,16412 in total
Arithmetic
Representations
Decimal1,164
Binary1001000110011 bits
Octal2214
Hexadecimal48C
Base 36WC
Roman numeralMCLXIV
In wordsone thousand, one hundred and sixty-four
Ordinalone thousand, one hundred and sixty-fourth
Scientific notation1.164 × 10^3
Engineering notation1.164 × 10^3
In other bases
Ternary1121010base 3; the most digit-efficient integer base after e: 7 digits
Quinary14124base 5; one hand: 5 digits
Septenary3252base 7: 4 digits
Nonary1533base 9; each digit is two ternary digits: 4 digits
Duodecimal810base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2i4base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal19:24base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TTT1010digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10110011100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000010010001100
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 22 trailing zeros
Power of twoNo
Bytes204 8c
Gray code11011001010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000010010001100
32-bit00000000000000000000010010001100
64-bit0000000000000000000000000000000000000000000000000000010010001100
One's complement1111101101110011at 16 bits, every bit flipped
Bits reversed0011000100100000at 16 bits
Rotated left by 10000100100011000at 16 bits, wrapping
Shifted left by 1100100011000= 2,328, no wrap
Shifted right by 11001000110= 582, discarding the low bit
These bits as a double5.75092412 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,164 to the power 21,354,896
1,164 to the power 31,577,098,944
1,164 to the power 41,835,743,170,816
1,164 to the power 52,136,805,050,829,824
First ten multiples1,164, 2,328, 3,492, 4,656, 5,820, 6,984, 8,148, 9,312, 10,476, 11,640
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 5No, remainder 4
Divisible by 6Yes
Divisible by 7No, remainder 2
Divisible by 8No, remainder 4
Divisible by 9No, remainder 3
Divisible by 10No, remainder 4
Divisible by 11No, remainder 9
Divisible by 12Yes
Divisible by 100No, remainder 64
Collatz (3n + 1) trajectory
Steps to reach 1119the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,164 → 582 → 291 → 874 → 437 → 1,312 → 656 → 328 → 164 → 82 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage116,400%
1,164% as a decimal11.64
1,164% of 1001,164
1,164% of 1,00011,640
As a fraction of 1001,164/100
Read another way
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Derived from 1,164
Also reads as
1164 (year)
- Leap year
- 366 days
- 12th century
- Monkey
- 53 ISO weeks
1164 was a leap year of 366 days. It began on a Wednesday and ended on a Thursday. Easter Sunday fell on 19 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Wednesday and Thursday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays53one of the extras
Thursdays53one of the extras
Fridays52
Saturdays52
Friday the 13th2 of them13 March, 13 November
ISO weeks53a long year: 1 January is a Thursday, or a Wednesday in a leap year, so a week 53 exists
Same calendar as1136the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1192, 1220, 124828 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1164
January31 days, starts Wednesday
February29 days, starts Saturday
August31 days, starts Saturday
September30 days, starts Tuesday
October31 days, starts Thursday
November30 days, starts Sunday
December31 days, starts Tuesday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start-25,434,950,400
Unix timestamp at the end-25,403,328,001
Years from now862 years ago
Days from today315,104 days since 1 January
The number 1164
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Also reads as
#111166 (colour)
- #111166
- Blue
- Dark
- Nearest: Midnight blue
#111166 is a blue with RGB values 17, 17, 102 and HSL 240°, 71%, 23%. It is a dark colour, so white text on it reaches 16.2:1 contrast (AAA for normal text). The nearest named colour is Midnight blue.
Colour values
#111166#111166
HEX#111166
HEX (short)#116
RGBrgb(17, 17, 102)
RGB (0–1)0.0667, 0.0667, 0.4
RGB percentages6.7%, 6.7%, 40%
HSLhsl(240, 71.4%, 23.3%)
HSV / HSBhsv(240, 83.3%, 40%)
CMYK83.3%, 83.3%, 0%, 60%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,118,566
CSS custom property--colour: #111166;
Brightness & contrast
Relative luminance0.01479WCAG 2.x, 0 is black and 1 is white
Perceived brightness38 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 16.21:1
Contrast with white16.21:1WCAG normal text: AAA
Contrast with black1.3:1WCAG normal text: Fail
Greyscale equivalent#171717
Inverted#EEEE99
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text16.21:1WCAG large text: AAA
Contrast with black, large text1.3:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#666611
Analogous#113B66, #3B1166
Triadic#661111, #116611
Split complementary#663B11, #3B6611
Tetradic#66113B, #666611, #11663B
Tints, shades & saturation
Channel breakdown
R17
G17
B102
Red17 (6.7%)
Green17 (6.7%)
Blue102 (40%)
Hue240°
Saturation (HSL)71.43%
Lightness23.33%
Dominant channelBlue
Hex per channelR 11 · G 11 · B 66
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Harmonies
Similar named colours
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