Recognised as Number
1,125
- Positive
- Odd
- Composite
- 4 digits
1,125 is an odd 4-digit integer and a composite number. It has 12 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value1,125
Digit count4
Digit sum9
Digit product10
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation3^2 × 5^3
Distinct prime factors23, 5
Number of divisors12
Sum of divisors σ(n)2,028
Aliquot sum903sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)600integers below n that share no factor with it
Carmichael function λ(n)300the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 600
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1,12512 in total
Arithmetic
Representations
Decimal1,125
Binary1000110010111 bits
Octal2145
Hexadecimal465
Base 36V9
Roman numeralMCXXV
In wordsone thousand, one hundred and twenty-five
Ordinalone thousand, one hundred and twenty-fifth
Scientific notation1.125 × 10^3
Engineering notation1.125 × 10^3
In other bases
Ternary1112200base 3; the most digit-efficient integer base after e: 7 digits
Quinary14000base 5; one hand: 5 digits
Septenary3165base 7: 4 digits
Nonary1480base 9; each digit is two ternary digits: 4 digits
Duodecimal799base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2g5base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal18:45base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TTT0T00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10110100101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000010001100101
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 odd
Highest set bitbit 10worth 1,024
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes204 65
Gray code11001010111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000010001100101
32-bit00000000000000000000010001100101
64-bit0000000000000000000000000000000000000000000000000000010001100101
One's complement1111101110011010at 16 bits, every bit flipped
Bits reversed1010011000100000at 16 bits
Rotated left by 10000100011001010at 16 bits, wrapping
Shifted left by 1100011001010= 2,250, no wrap
Shifted right by 11000110010= 562, discarding the low bit
These bits as a double5.55823852 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,125 to the power 21,265,625
1,125 to the power 31,423,828,125
1,125 to the power 41,601,806,640,625
1,125 to the power 51,802,032,470,703,125
First ten multiples1,125, 2,250, 3,375, 4,500, 5,625, 6,750, 7,875, 9,000, 10,125, 11,250
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 1
Divisible by 5Yes
Divisible by 6No, remainder 3
Divisible by 7No, remainder 5
Divisible by 8No, remainder 5
Divisible by 9Yes
Divisible by 10No, remainder 5
Divisible by 11No, remainder 3
Divisible by 12No, remainder 9
Divisible by 100No, remainder 25
Collatz (3n + 1) trajectory
Steps to reach 144the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,125 → 3,376 → 1,688 → 844 → 422 → 211 → 634 → 317 → 952 → 476 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage112,500%
1,125% as a decimal11.25
1,125% of 1001,125
1,125% of 1,00011,250
As a fraction of 1001,125/100
Read another way
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Derived from 1,125
Also reads as
1125 (year)
- Common year
- 365 days
- 12th century
- Snake
- 53 ISO weeks
1125 was a common year of 365 days. It began on a Thursday and ended on a Thursday. Easter Sunday fell on 29 March.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Thursday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays53one of the extras
Fridays52
Saturdays52
Friday the 13th3 of them13 February, 13 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 as1114the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1131, 1142, 11536 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1125
January31 days, starts Thursday
February28 days, starts Sunday
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-26,665,632,000
Unix timestamp at the end-26,634,096,001
Years from now901 years ago
Days from today329,341 days since 1 January
The number 1125
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Also reads as
#111122 (colour)
- #111122
- Blue
- Dark
- Nearest: Black
#111122 is a blue with RGB values 17, 17, 34 and HSL 240°, 33%, 10%. It is a dark colour, so white text on it reaches 18.6:1 contrast (AAA for normal text). The nearest named colour is Black.
Colour values
#111122#111122
HEX#111122
HEX (short)#112
RGBrgb(17, 17, 34)
RGB (0–1)0.0667, 0.0667, 0.1333
RGB percentages6.7%, 6.7%, 13.3%
HSLhsl(240, 33.3%, 10%)
HSV / HSBhsv(240, 50%, 13.3%)
CMYK50%, 50%, 0%, 86.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,118,498
CSS custom property--colour: #111122;
Brightness & contrast
Relative luminance0.00636WCAG 2.x, 0 is black and 1 is white
Perceived brightness19.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 18.63:1
Contrast with white18.63:1WCAG normal text: AAA
Contrast with black1.13:1WCAG normal text: Fail
Greyscale equivalent#121212
Inverted#EEEEDD
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text18.63:1WCAG large text: AAA
Contrast with black, large text1.13:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#222211
Analogous#111A22, #1A1122
Triadic#221111, #112211
Split complementary#221A11, #1A2211
Tetradic#22111A, #222211, #11221A
Tints, shades & saturation
Channel breakdown
R17
G17
B34
Red17 (6.7%)
Green17 (6.7%)
Blue34 (13.3%)
Hue240°
Saturation (HSL)33.33%
Lightness10%
Dominant channelBlue
Hex per channelR 11 · G 11 · B 22
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Harmonies
Similar named colours
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