Recognised as Number

1,329

Positive
Odd
Composite
4 digits

1,329 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 6.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value1,329

Digit count4

Digit sum15

Digit product54

Multiplicative persistence3times the digit product can be taken before one digit is left

Digital root6repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation3 × 443

Distinct prime factors23, 443

Number of divisors4

Sum of divisors σ(n)1,776

Aliquot sum447sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)884integers below n that share no factor with it

Carmichael function λ(n)442the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 884

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

SquarefreeYesno repeated prime factor

All divisors1, 3, 443, 1,3294 in total

Arithmetic

Previous number1,328

Next number1,330

Double2,658

Half664.5

Square1,766,241

Cube2,347,334,289

Square root36.455452267≈irrational, shown to 9 decimal places

Cube root10.994487596≈

Negation-1,329

Reciprocal0.0007524454≈

Representations

Decimal1,329

Binary1010011000111 bits

Octal2461

Hexadecimal531

Base 3610X

Roman numeralMCCCXXIX

In wordsone thousand, three hundred and twenty-nine

Ordinalone thousand, three hundred and twenty-ninth

Scientific notation1.329 × 10^3

Engineering notation1.329 × 10^3

In other bases

Ternary1211020base 3; the most digit-efficient integer base after e: 7 digits

Quinary20304base 5; one hand: 5 digits

Septenary3606base 7: 4 digits

Nonary1736base 9; each digit is two ternary digits: 4 digits

Duodecimal929base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits

Vigesimal369base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits

Sexagesimal22:9base 60; Babylonian, and still how an hour and a circle are divided: 2 digits

Balanced ternary1TT111T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary10101110001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0000010100110001

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

Bytes205 31

Gray code11110101001n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0000010100110001

32-bit00000000000000000000010100110001

64-bit0000000000000000000000000000000000000000000000000000010100110001

One's complement1111101011001110at 16 bits, every bit flipped

Bits reversed1000110010100000at 16 bits

Rotated left by 10000101001100010at 16 bits, wrapping

Shifted left by 1101001100010= 2,658, no wrap

Shifted right by 11010011000= 664, discarding the low bit

These bits as a double6.56613243 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,361+32

Previous prime1,327−2

Distance to nearest prime2

Nearest square below1,296

Nearest square above1,369

Powers & multiples

1,329 to the power 21,766,241

1,329 to the power 32,347,334,289

1,329 to the power 43,119,607,270,081

1,329 to the power 54,145,958,061,937,649

First ten multiples1,329, 2,658, 3,987, 5,316, 6,645, 7,974, 9,303, 10,632, 11,961, 13,290

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 4

Divisible by 6No, remainder 3

Divisible by 7No, remainder 6

Divisible by 8No, remainder 1

Divisible by 9No, remainder 6

Divisible by 10No, remainder 9

Divisible by 11No, remainder 9

Divisible by 12No, remainder 9

Divisible by 100No, remainder 29

Collatz (3n + 1) trajectory

Steps to reach 152the total stopping time

Highest value reached3,9883× the starting value

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

First steps1,329 → 3,988 → 1,994 → 997 → 2,992 → 1,496 → 748 → 374 → 187 → 562 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage132,900%

1,329% as a decimal13.29

1,329% of 1001,329

1,329% of 1,00013,290

As a fraction of 1001,329/100

Read another way

As seconds22 minutes and 9 seconds

As bytes1.298 KiB

As a year1329 AD

As a 24-bit colour#000531

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Neighbouring numbers

Derived from 1,329

Nearby primes

1329 (year)

Common year
365 days
14th century
Snake

1329 was a common year of 365 days. It began on a Saturday and ended on a Saturday. Easter Sunday fell on 27 March.

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Structure of the year

Leap yearNonot divisible by 4

Days in the year365

Days in February28

1 January fell on aSaturday

31 December fell on aSaturday

Century14th century

Decade1320s

Chinese zodiacSnake

Easter Sunday27 March

Patterns forced by the calendar

Weekday counts52 of each, plus an extra Saturday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on

Sundays52

Mondays52

Tuesdays52

Wednesdays52

Thursdays52

Fridays52

Saturdays53one of the extras

Friday the 13th1 of them13 May

ISO weeks52an ordinary 52-week year

Same calendar as1318the most recent year whose calendar is identical, so a printed one could be reused

Calendar repeats in1335, 1346, 13576 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year

Months of 1329

January31 days, starts Saturday

February28 days, starts Tuesday

March31 days, starts Tuesday

April30 days, starts Friday

May31 days, starts Sunday

June30 days, starts Wednesday

July31 days, starts Friday

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-20,227,968,000

Unix timestamp at the end-20,196,432,001

Years from now697 years ago

Days from today254,831 days since 1 January

The number 1329

As a number1,329

In wordsone thousand, three hundred and twenty-nine

Roman numeralsMCCCXXIX

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Neighbouring years

Key dates

Also reads as

#113322 (colour)

#113322
Cyan
Dark
Nearest: Dark slate grey

#113322 is a cyan with RGB values 17, 51, 34 and HSL 150°, 50%, 13%. It is a dark colour, so white text on it reaches 13.8:1 contrast (AAA for normal text). The nearest named colour is Dark slate grey.

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Colour values

#113322#113322

HEX#113322

HEX (short)#132

RGBrgb(17, 51, 34)

RGB (0–1)0.0667, 0.2, 0.1333

RGB percentages6.7%, 20%, 13.3%

HSLhsl(150, 50%, 13.3%)

HSV / HSBhsv(150, 66.7%, 20%)

CMYK66.7%, 0%, 33.3%, 80%≈naive device-independent conversion; real print needs an ICC profile

24-bit integer1,127,202

CSS custom property--colour: #113322;

Brightness & contrast

Relative luminance0.02602WCAG 2.x, 0 is black and 1 is white

Perceived brightness41.8 of 255ITU-R BT.601 weighting

Light or darkDark

Best text colour on this backgroundWhitecontrast 13.81:1

Contrast with white13.81:1WCAG normal text: AAA

Contrast with black1.52:1WCAG normal text: Fail

Greyscale equivalent#2B2B2B

Inverted#EECCDD

Colour vision & accessibility

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#322F21no red cones; affects about 1% of men; ΔE 16.1 from the original

Deuteranopia#2E2B23no green cones; the most common form, about 1% of men; ΔE 17.1 from the original

Tritanopia#05332Eno blue cones; rare, and affects men and women equally; ΔE 8.4 from the original

Distinguishable without hueYesnever rely on hue alone to carry meaning

Contrast with white, large text13.81:1WCAG large text: AAA

Contrast with black, large text1.52:1WCAG large text: Fail

Named colours

Dark slate grey · ΔE 17.8 Black · ΔE 26.2 Dim grey · ΔE 32.1 Dark olivegreen · ΔE 33.5 Teal · ΔE 35.6 Dark cyan · ΔE 39.8

Nearest named CSS colourDark slate grey (#2F4F4F)ΔE 17.77, a distinctly different colour

Hue familycyan

CSS keyword usableNo exact keyword

Colour harmonies

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

Complementary#331122

Analogous#113311, #113333

Triadic#221133, #332211

Split complementary#331133, #331111

Tetradic#111133, #331122, #333311

Tints, shades & saturation

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

Lighter +40%#4CC488

Lighter +30%#37A66F

Lighter +20%#2A8055

Lighter +10%#1E593C

Darker −10%#040D09

Darker −20%#000000

Darker −30%#000000

Darker −40%#000000

More saturated +25%#083C22

Less saturated −25%#192B22

Channel breakdown

R17

G51

B34

Red17 (6.7%)

Green51 (20%)

Blue34 (13.3%)

Hue150°

Saturation (HSL)50%

Lightness13.33%

Dominant channelGreen

Hex per channelR 11 · G 33 · B 22

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Number properties

Factors & divisors

Arithmetic

Representations

In other bases

Bit-level

At each machine width

Nearest landmarks

Powers & multiples

Divisibility tests

Collatz (3n + 1) trajectory

As a percentage & fraction

Read another way

Keep nerding

Neighbouring numbers

Derived from 1,329

Nearby primes

Other readings

1329 (year)

Structure of the year

Patterns forced by the calendar

Months of 1329

Time references

The number 1329

Keep nerding

Neighbouring years

Key dates

#113322 (colour)

Colour values

Brightness & contrast

Colour vision & accessibility

Named colours

Colour harmonies

Tints, shades & saturation

Channel breakdown

Keep nerding

Harmonies

Lighter and darker

Similar named colours

Nerdulate something else