Recognised as Number
1,167
- Positive
- Odd
- Composite
- 4 digits
1,167 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 6.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value1,167
Digit count4
Digit sum15
Digit product42
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation3 × 389
Distinct prime factors23, 389
Number of divisors4
Sum of divisors σ(n)1,560
Aliquot sum393sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)776integers below n that share no factor with it
Carmichael function λ(n)388the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 776
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 3, 389, 1,1674 in total
Arithmetic
Representations
Decimal1,167
Binary1001000111111 bits
Octal2217
Hexadecimal48F
Base 36WF
Roman numeralMCLXVII
In wordsone thousand, one hundred and sixty-seven
Ordinalone thousand, one hundred and sixty-seventh
Scientific notation1.167 × 10^3
Engineering notation1.167 × 10^3
In other bases
Ternary1121020base 3; the most digit-efficient integer base after e: 7 digits
Quinary14132base 5; one hand: 5 digits
Septenary3255base 7: 4 digits
Nonary1536base 9; each digit is two ternary digits: 4 digits
Duodecimal813base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2i7base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal19:27base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TTT11T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10110010011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000010010001111
Bit length11 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits5within that length
Bit parityeven6 set bits, so even; not the same as the number itself being odd
Highest set bitbit 10worth 1,024
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes204 8f
Gray code11011001000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000010010001111
32-bit00000000000000000000010010001111
64-bit0000000000000000000000000000000000000000000000000000010010001111
One's complement1111101101110000at 16 bits, every bit flipped
Bits reversed1111000100100000at 16 bits
Rotated left by 10000100100011110at 16 bits, wrapping
Shifted left by 1100100011110= 2,334, no wrap
Shifted right by 11001000111= 583, discarding the low bit
These bits as a double5.76574609 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,167 to the power 21,361,889
1,167 to the power 31,589,324,463
1,167 to the power 41,854,741,648,321
1,167 to the power 52,164,483,503,590,607
First ten multiples1,167, 2,334, 3,501, 4,668, 5,835, 7,002, 8,169, 9,336, 10,503, 11,670
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 3
Divisible by 5No, remainder 2
Divisible by 6No, remainder 3
Divisible by 7No, remainder 5
Divisible by 8No, remainder 7
Divisible by 9No, remainder 6
Divisible by 10No, remainder 7
Divisible by 11No, remainder 1
Divisible by 12No, remainder 3
Divisible by 100No, remainder 67
Collatz (3n + 1) trajectory
Steps to reach 131the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,167 → 3,502 → 1,751 → 5,254 → 2,627 → 7,882 → 3,941 → 11,824 → 5,912 → 2,956 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage116,700%
1,167% as a decimal11.67
1,167% of 1001,167
1,167% of 1,00011,670
As a fraction of 1001,167/100
Read another way
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from 1,167
Also reads as
1167 (year)
- Common year
- 365 days
- 12th century
- Pig
1167 was a common year of 365 days. It began on a Sunday and ended on a Sunday. Easter Sunday fell on 16 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Sunday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays53one of the extras
Mondays52
Tuesdays52
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th2 of them13 January, 13 October
ISO weeks52an ordinary 52-week year
Same calendar as1161the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1178, 1189, 119511 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1167
January31 days, starts Sunday
February28 days, starts Wednesday
August31 days, starts Tuesday
September30 days, starts Friday
October31 days, starts Sunday
November30 days, starts Wednesday
December31 days, starts Friday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start-25,340,256,000
Unix timestamp at the end-25,308,720,001
Years from now859 years ago
Days from today314,008 days since 1 January
The number 1167
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
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
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Harmonies
Similar named colours
Nerdulate something else
Nothing in mind? Surprise me · today’s page