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Recognised as Number

1,137

Positive
Odd
Composite
4 digits

1,137 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 3.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value1,137

Digit count4

Digit sum12

Digit product21

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 numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation3 × 379

Distinct prime factors23, 379

Number of divisors4

Sum of divisors σ(n)1,520

Aliquot sum383sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)756integers below n that share no factor with it

Carmichael function λ(n)378the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 756

Möbius function μ(n)+12 distinct prime factors, an even number of them

SquarefreeYesno repeated prime factor

All divisors1, 3, 379, 1,1374 in total

Arithmetic

Previous number1,136

Next number1,138

Double2,274

Square1,292,769

Cube1,469,878,353

Square root33.7194306≈irrational, shown to 9 decimal places

Cube root10.437267675≈

Negation-1,137

Reciprocal0.0008795075≈

Representations

Decimal1,137

Binary1000111000111 bits

Octal2161

Hexadecimal471

Base 36VL

Roman numeralMCXXXVII

In wordsone thousand, one hundred and thirty-seven

Ordinalone thousand, one hundred and thirty-seventh

Scientific notation1.137 × 10^3

Engineering notation1.137 × 10^3

In other bases

Ternary1120010base 3; the most digit-efficient integer base after e: 7 digits

Quinary14022base 5; one hand: 5 digits

Septenary3213base 7: 4 digits

Nonary1503base 9; each digit is two ternary digits: 4 digits

Duodecimal7a9base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits

Vigesimal2ghbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits

Sexagesimal18:57base 60; Babylonian, and still how an hour and a circle are divided: 2 digits

Balanced ternary1TTT0010digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary10110110001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0000010001110001

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 71

Gray code11001001001n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0000010001110001

32-bit00000000000000000000010001110001

64-bit0000000000000000000000000000000000000000000000000000010001110001

One's complement1111101110001110at 16 bits, every bit flipped

Bits reversed1000111000100000at 16 bits

Rotated left by 10000100011100010at 16 bits, wrapping

Shifted left by 1100011100010= 2,274, no wrap

Shifted right by 11000111000= 568, discarding the low bit

These bits as a double5.61752639 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,151+14

Previous prime1,129−8

Distance to nearest prime8

Nearest square below1,089

Nearest square above1,156

Powers & multiples

1,137 to the power 21,292,769

1,137 to the power 31,469,878,353

1,137 to the power 41,671,251,687,361

1,137 to the power 51,900,213,168,529,457

First ten multiples1,137, 2,274, 3,411, 4,548, 5,685, 6,822, 7,959, 9,096, 10,233, 11,370

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 5No, remainder 2

Divisible by 6No, remainder 3

Divisible by 7No, remainder 3

Divisible by 8No, remainder 1

Divisible by 9No, remainder 3

Divisible by 10No, remainder 7

Divisible by 11No, remainder 4

Divisible by 12No, remainder 9

Divisible by 100No, remainder 37

Collatz (3n + 1) trajectory

Steps to reach 118the total stopping time

Highest value reached3,4123× the starting value

Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven

First steps1,137 → 3,412 → 1,706 → 853 → 2,560 → 1,280 → 640 → 320 → 160 → 80 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage113,700%

1,137% as a decimal11.37

1,137% of 1001,137

1,137% of 1,00011,370

As a fraction of 1001,137/100

Read another way

As seconds18 minutes and 57 seconds

As bytes1.11 KiB

As a year1137 AD

As a 24-bit colour#000471

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Neighbouring numbers

Derived from 1,137

Nearby primes

Other readings

Also reads as

1137 (year)

Common year
365 days
12th century
Snake

1137 was a common year of 365 days. It began on a Friday and ended on a Friday. Easter Sunday fell on 18 April.

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Structure of the year

Leap yearNonot divisible by 4

Days in the year365

Days in February28

1 January fell on aFriday

31 December fell on aFriday

Century12th century

Decade1130s

Chinese zodiacSnake

Easter Sunday18 April

Patterns forced by the calendar

Weekday counts52 of each, plus an extra Friday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on

Sundays52

Mondays52

Tuesdays52

Wednesdays52

Thursdays52

Fridays53one of the extras

Saturdays52

Friday the 13th1 of them13 August

ISO weeks52an ordinary 52-week year

Same calendar as1126the most recent year whose calendar is identical, so a printed one could be reused

Calendar repeats in1143, 1154, 11656 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year

Months of 1137

January31 days, starts Friday

February28 days, starts Monday

March31 days, starts Monday

April30 days, starts Thursday

May31 days, starts Saturday

June30 days, starts Tuesday

July31 days, starts Thursday

August31 days, starts Sunday

September30 days, starts Wednesday

October31 days, starts Friday

November30 days, starts Monday

December31 days, starts Wednesday

Time references

These values depend on today’s date and change daily.

Unix timestamp at the start-26,286,940,800

Unix timestamp at the end-26,255,404,801

Years from now889 years ago

Days from today324,957 days since 1 January

The number 1137

As a number1,137

In wordsone thousand, one hundred and thirty-seven

Roman numeralsMCXXXVII

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Neighbouring years

Key dates

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.

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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

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#001734no red cones; affects about 1% of men; ΔE 7.9 from the original

Deuteranopia#001432no green cones; the most common form, about 1% of men; ΔE 6.7 from the original

Tritanopia#02191Fno blue cones; rare, and affects men and women equally; ΔE 23.9 from the original

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

Black · ΔE 26.4 Dark slateblue · ΔE 34 Midnight blue · ΔE 34.7 Dark slate grey · ΔE 38.9 Dim grey · ΔE 45.4 Rebecca purple · ΔE 47.3

Nearest named CSS colourBlack (#000000)ΔE 26.42, a distinctly different colour

Hue familyblue

CSS keyword usableNo exact keyword

Colour harmonies

base +30°+90°+120°+180°+210°+240°+270°+330°

Complementary#333311

Analogous#112233, #221133

Triadic#331111, #113311

Split complementary#332211, #223311

Tetradic#331122, #333311, #113322

Tints, shades & saturation

+40%+30%+20%+10%base -10%-20%-30%-40%

Lighter +40%#4C4CC4

Lighter +30%#3737A6

Lighter +20%#2A2A80

Lighter +10%#1E1E59

Darker −10%#04040D

Darker −20%#000000

Darker −30%#000000

Darker −40%#000000

More saturated +25%#08083C

Less saturated −25%#19192B

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

Lighter and darker

Similar named colours

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