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Number

1,337

  • Positive
  • Odd
  • Composite
  • 4 digits

1,337 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 5.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value1,337
Digit count4
Digit sum14
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation7 × 191
Distinct prime factors27, 191
Number of divisors4
Sum of divisors σ(n)1,536
Aliquot sum199sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)1,140integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 7, 191, 1,3374 in total

Arithmetic

Previous number1,336
Next number1,338
Double2,674
Half668.5
Square1,787,569
Cube2,389,979,753
Square root36.565010598≈irrational, shown to 9 decimal places
Cube root11.016504151≈
Negation-1,337
Reciprocal0.0007479432≈

Representations

Decimal1,337
Binary1010011100111 bits
Octal2471
Hexadecimal539
Base 36115
Roman numeralMCCCXXXVII
In wordsone thousand, three hundred and thirty-seven
Ordinalone thousand, three hundred and thirty-seventh
Scientific notation1.337 × 10^3
Engineering notation1.337 × 10^3

Nearest landmarks

Next prime1,361+24
Previous prime1,327−10
Distance to nearest prime10
Nearest square below1,296
Nearest square above1,369

Powers & multiples

1,337 to the power 21,787,569
1,337 to the power 32,389,979,753
1,337 to the power 43,195,402,929,761
1,337 to the power 54,272,253,717,090,457
First ten multiples1,337, 2,674, 4,011, 5,348, 6,685, 8,022, 9,359, 10,696, 12,033, 13,370
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)

Divisibility tests

Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 2
Divisible by 6No, remainder 5
Divisible by 7Yes
Divisible by 8No, remainder 1
Divisible by 9No, remainder 5
Divisible by 10No, remainder 7
Divisible by 11No, remainder 6
Divisible by 12No, remainder 5
Divisible by 100No, remainder 37

Collatz (3n + 1) trajectory

Steps to reach 144the total stopping time
Highest value reached8,5846× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,337 → 4,012 → 2,006 → 1,003 → 3,010 → 1,505 → 4,516 → 2,258 → 1,129 → 3,388 → …
Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage133,700%
1,337% as a decimal13.37
1,337% of 1001,337
1,337% of 1,00013,370
As a fraction of 1001,337/100

Read another way

As seconds22 minutes and 17 seconds
As bytes1.306 KiB
As a year1337 AD
As a 24-bit colour#000539

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Neighbouring numbers

Nearby primes

Also reads as

1337 (year)

  • Common year
  • 365 days
  • 14th century
  • Ox

1337 was a common year of 365 days. It began on a Tuesday and ended on a Tuesday. Easter Sunday fell on 31 March.

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Structure of the year

Leap yearNonot divisible by 4
Days in the year365
Weeks in the year52ISO 8601 weeks; 28 December is always in the final week
Days in February28
1 January fell on aTuesday
31 December fell on aTuesday
Century14th century
Decade1330s
Chinese zodiacOx
Easter Sunday31 March

Months of 1337

January31 days, starts Tuesday
February28 days, starts Friday
March31 days, starts Friday
April30 days, starts Monday
May31 days, starts Wednesday
June30 days, starts Saturday
July31 days, starts Monday
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-19,975,507,200
Unix timestamp at the end-19,943,971,201
Years from now689 years ago
Days from today251,904 days since 1 January

The number 1337

As a number1,337
In wordsone thousand, three hundred and thirty-seven
Roman numeralsMCCCXXXVII

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Neighbouring years

Also reads as

#113333 (colour)

  • #113333
  • Cyan
  • Dark
  • Nearest: Dark slate grey

#113333 is a cyan with RGB values 17, 51, 51 and HSL 180°, 50%, 13%. It is a dark colour, so white text on it reaches 13.6:1 contrast (AAA for normal text). The nearest named colour is Dark slate grey.

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Colour values

#113333#113333
HEX#113333
HEX (short)#133
RGBrgb(17, 51, 51)
RGB (0–1)0.0667, 0.2, 0.2
RGB percentages6.7%, 20%, 20%
HSLhsl(180, 50%, 13.3%)
HSV / HSBhsv(180, 66.7%, 20%)
CMYK66.7%, 0%, 0%, 80%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,127,219
CSS custom property--colour: #113333;

Brightness & contrast

Relative luminance0.02726WCAG 2.x, 0 is black and 1 is white
Perceived brightness43.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 13.59:1
Contrast with white13.59:1WCAG normal text: AAA
Contrast with black1.55:1WCAG normal text: Fail
Greyscale equivalent#2C2C2C
Inverted#EECCCC

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#2F3033no red cones; affects about 1% of men; ΔE 12.6 from the original
Deuteranopia#2A2C33no green cones; the most common form, about 1% of men; ΔE 13.2 from the original
Tritanopia#003533no blue cones; rare, and affects men and women equally; ΔE 4.4 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text13.59:1WCAG large text: AAA
Contrast with black, large text1.55:1WCAG large text: Fail

Named colours

Dark slate grey · ΔE 12.4Black · ΔE 22.8Dim grey · ΔE 28.5Teal · ΔE 34.1Slate grey · ΔE 36Gray · ΔE 36.9
Nearest named CSS colourDark slate grey (#2F4F4F)ΔE 12.35, a distinctly different colour
Hue familycyan
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#331111
Analogous#113322, #112233
Triadic#331133, #333311
Split complementary#331122, #332211
Tetradic#221133, #331111, #223311

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#4CC4C4
Lighter +30%#37A6A6
Lighter +20%#2A8080
Lighter +10%#1E5959
Darker −10%#040D0D
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#083C3C
Less saturated −25%#192B2B

Channel breakdown

R17
G51
B51
Red17 (6.7%)
Green51 (20%)
Blue51 (20%)
Hue180°
Saturation (HSL)50%
Lightness13.33%
Dominant channelGreen and Blue
Hex per channelR 11 · G 33 · B 33

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Every value on this page was computed from “1337” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.