Recognised as Number
1,112
- Positive
- Even
- Composite
- 4 digits
1,112 is an even 4-digit integer and a composite number. It has 8 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,112
Digit count4
Digit sum5
Digit product2
Multiplicative persistence1times 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 factorisation2^3 × 139
Distinct prime factors22, 139
Number of divisors8
Sum of divisors σ(n)2,100
Aliquot sum988sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)552integers below n that share no factor with it
Carmichael function λ(n)138the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 552
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 139, 278, 556, 1,1128 in total
Arithmetic
Representations
Decimal1,112
Binary1000101100011 bits
Octal2130
Hexadecimal458
Base 36UW
Roman numeralMCXII
In wordsone thousand, one hundred and twelve
Ordinalone thousand, one hundred and twelfth
Scientific notation1.112 × 10^3
Engineering notation1.112 × 10^3
In other bases
Ternary1112012base 3; the most digit-efficient integer base after e: 7 digits
Quinary13422base 5; one hand: 5 digits
Septenary3146base 7: 4 digits
Nonary1465base 9; each digit is two ternary digits: 4 digits
Duodecimal788base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2fcbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal18:32base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TTTT1TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10110101000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000010001011000
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 58
Gray code11001110100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000010001011000
32-bit00000000000000000000010001011000
64-bit0000000000000000000000000000000000000000000000000000010001011000
One's complement1111101110100111at 16 bits, every bit flipped
Bits reversed0001101000100000at 16 bits
Rotated left by 10000100010110000at 16 bits, wrapping
Shifted left by 1100010110000= 2,224, no wrap
Shifted right by 11000101100= 556, discarding the low bit
These bits as a double5.49400998 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,112 to the power 21,236,544
1,112 to the power 31,375,036,928
1,112 to the power 41,529,041,063,936
1,112 to the power 51,700,293,663,096,832
First ten multiples1,112, 2,224, 3,336, 4,448, 5,560, 6,672, 7,784, 8,896, 10,008, 11,120
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 2
Divisible by 6No, remainder 2
Divisible by 7No, remainder 6
Divisible by 8Yes
Divisible by 9No, remainder 5
Divisible by 10No, remainder 2
Divisible by 11No, remainder 1
Divisible by 12No, remainder 8
Divisible by 100No, remainder 12
Collatz (3n + 1) trajectory
Steps to reach 144the total stopping time
Highest value reached1,112
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,112 → 556 → 278 → 139 → 418 → 209 → 628 → 314 → 157 → 472 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage111,200%
1,112% as a decimal11.12
1,112% of 1001,112
1,112% of 1,00011,120
As a fraction of 1001,112/100
Read another way
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Derived from 1,112
Also reads as
1112 (year)
- Leap year
- 366 days
- 12th century
- Dragon
1112 was a leap year of 366 days. It began on a Monday and ended on a Tuesday. Easter Sunday fell on 24 March.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Monday and Tuesday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays53one of the extras
Tuesdays53one of the extras
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th2 of them13 September, 13 December
ISO weeks52an ordinary 52-week year
Same calendar as1072the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1140, 1168, 119628 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1112
January31 days, starts Monday
February29 days, starts Thursday
August31 days, starts Thursday
September30 days, starts Sunday
October31 days, starts Tuesday
November30 days, starts Friday
December31 days, starts Sunday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start-27,075,945,600
Unix timestamp at the end-27,044,323,201
Years from now914 years ago
Days from today334,094 days since 1 January
The number 1112
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Also reads as
#111111 (colour)
- #111111
- Near-black
- Dark
- Nearest: Black
#111111 is a near-black with RGB values 17, 17, 17 and HSL 0°, 0%, 7%. It is a dark colour, so white text on it reaches 18.9:1 contrast (AAA for normal text). The nearest named colour is Black.
Colour values
#111111#111111
HEX#111111
HEX (short)#111
RGBrgb(17, 17, 17)
RGB (0–1)0.0667, 0.0667, 0.0667
RGB percentages6.7%, 6.7%, 6.7%
HSLhsl(0, 0%, 6.7%)
HSV / HSBhsv(0, 0%, 6.7%)
CMYK0%, 0%, 0%, 93.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,118,481
CSS custom property--colour: #111111;
Brightness & contrast
Relative luminance0.00561WCAG 2.x, 0 is black and 1 is white
Perceived brightness17 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 18.88:1
Contrast with white18.88:1WCAG normal text: AAA
Contrast with black1.11:1WCAG normal text: Fail
Greyscale equivalent#111111
Inverted#EEEEEE
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text18.88:1WCAG large text: AAA
Contrast with black, large text1.11:1WCAG large text: Fail
Named colours
Hue familynear-black
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#111111
Analogous#111111, #111111
Triadic#111111, #111111
Split complementary#111111, #111111
Tetradic#111111, #111111, #111111
Tints, shades & saturation
Channel breakdown
R17
G17
B17
Red17 (6.7%)
Green17 (6.7%)
Blue17 (6.7%)
Hue0°
Saturation (HSL)0%
Lightness6.67%
Dominant channelNone: the channels are equal (a neutral grey)
Hex per channelR 11 · G 11 · B 11
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