Recognised as Number
1,132
- Positive
- Even
- Composite
- 4 digits
1,132 is an even 4-digit integer and a composite number. It has 6 divisors and a digital root of 7.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,132
Digit count4
Digit sum7
Digit product6
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 283
Distinct prime factors22, 283
Number of divisors6
Sum of divisors σ(n)1,988
Aliquot sum856sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)564integers below n that share no factor with it
Carmichael function λ(n)282the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 564
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 283, 566, 1,1326 in total
Arithmetic
Representations
Decimal1,132
Binary1000110110011 bits
Octal2154
Hexadecimal46C
Base 36VG
Roman numeralMCXXXII
In wordsone thousand, one hundred and thirty-two
Ordinalone thousand, one hundred and thirty-second
Scientific notation1.132 × 10^3
Engineering notation1.132 × 10^3
In other bases
Ternary1112221base 3; the most digit-efficient integer base after e: 7 digits
Quinary14012base 5; one hand: 5 digits
Septenary3205base 7: 4 digits
Nonary1487base 9; each digit is two ternary digits: 4 digits
Duodecimal7a4base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2gcbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal18:52base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TTT00T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10110111100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000010001101100
Bit length11 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits6within that length
Bit parityodd5 set bits, so odd; 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 6c
Gray code11001011010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000010001101100
32-bit00000000000000000000010001101100
64-bit0000000000000000000000000000000000000000000000000000010001101100
One's complement1111101110010011at 16 bits, every bit flipped
Bits reversed0011011000100000at 16 bits
Rotated left by 10000100011011000at 16 bits, wrapping
Shifted left by 1100011011000= 2,264, no wrap
Shifted right by 11000110110= 566, discarding the low bit
These bits as a double5.59282311 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,132 to the power 21,281,424
1,132 to the power 31,450,571,968
1,132 to the power 41,642,047,467,776
1,132 to the power 51,858,797,733,522,432
First ten multiples1,132, 2,264, 3,396, 4,528, 5,660, 6,792, 7,924, 9,056, 10,188, 11,320
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 2
Divisible by 6No, remainder 4
Divisible by 7No, remainder 5
Divisible by 8No, remainder 4
Divisible by 9No, remainder 7
Divisible by 10No, remainder 2
Divisible by 11No, remainder 10
Divisible by 12No, remainder 4
Divisible by 100No, remainder 32
Collatz (3n + 1) trajectory
Steps to reach 162the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,132 → 566 → 283 → 850 → 425 → 1,276 → 638 → 319 → 958 → 479 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage113,200%
1,132% as a decimal11.32
1,132% of 1001,132
1,132% of 1,00011,320
As a fraction of 1001,132/100
Read another way
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Derived from 1,132
Also reads as
1132 (year)
- Leap year
- 366 days
- 12th century
- Rat
1132 was a leap year of 366 days. It began on a Friday and ended on a Saturday. Easter Sunday fell on 10 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Friday and Saturday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays52
Fridays53one of the extras
Saturdays53one of the extras
Friday the 13th1 of them13 May
ISO weeks52an ordinary 52-week year
Same calendar as1104the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1160, 1188, 121628 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1132
January31 days, starts Friday
February29 days, starts Monday
August31 days, starts Monday
September30 days, starts Thursday
October31 days, starts Saturday
November30 days, starts Tuesday
December31 days, starts Thursday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start-26,444,793,600
Unix timestamp at the end-26,413,171,201
Years from now894 years ago
Days from today326,783 days since 1 January
The number 1132
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Also reads as
#111133 (colour)
- #111133
- Blue
- Dark
- Nearest: Black
#111133 is a blue with RGB values 17, 17, 51 and HSL 240°, 50%, 13%. It is a dark colour, so white text on it reaches 18.2:1 contrast (AAA for normal text). The nearest named colour is Black.
Colour values
#111133#111133
HEX#111133
HEX (short)#113
RGBrgb(17, 17, 51)
RGB (0–1)0.0667, 0.0667, 0.2
RGB percentages6.7%, 6.7%, 20%
HSLhsl(240, 50%, 13.3%)
HSV / HSBhsv(240, 66.7%, 20%)
CMYK66.7%, 66.7%, 0%, 80%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,118,515
CSS custom property--colour: #111133;
Brightness & contrast
Relative luminance0.00759WCAG 2.x, 0 is black and 1 is white
Perceived brightness23.5 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 18.23:1
Contrast with white18.23:1WCAG normal text: AAA
Contrast with black1.15:1WCAG normal text: Fail
Greyscale equivalent#131313
Inverted#EEEECC
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text18.23:1WCAG large text: AAA
Contrast with black, large text1.15:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#333311
Analogous#112233, #221133
Triadic#331111, #113311
Split complementary#332211, #223311
Tetradic#331122, #333311, #113322
Tints, shades & saturation
Channel breakdown
R17
G17
B51
Red17 (6.7%)
Green17 (6.7%)
Blue51 (20%)
Hue240°
Saturation (HSL)50%
Lightness13.33%
Dominant channelBlue
Hex per channelR 11 · G 11 · B 33
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Harmonies
Similar named colours
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