Recognised as Number

1,323

Positive
Odd
Composite
4 digits

1,323 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 value1,323

Digit count4

Digit sum9

Digit product18

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 factorisation3^3 × 7^2

Distinct prime factors23, 7

Number of divisors12

Sum of divisors σ(n)2,280

Aliquot sum957sum 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)126the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 756

Möbius function μ(n)0zero, because a prime divides n twice

SquarefreeNohas a repeated prime factor

All divisors1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1,32312 in total

Arithmetic

Previous number1,322

Next number1,324

Double2,646

Half661.5

Square1,750,329

Cube2,315,685,267

Square root36.373066959≈irrational, shown to 9 decimal places

Cube root10.97791713≈

Negation-1,323

Reciprocal0.0007558579≈

Representations

Decimal1,323

Binary1010010101111 bits

Octal2453

Hexadecimal52B

Base 3610R

Roman numeralMCCCXXIII

In wordsone thousand, three hundred and twenty-three

Ordinalone thousand, three hundred and twenty-third

Scientific notation1.323 × 10^3

Engineering notation1.323 × 10^3

In other bases

Ternary1211000base 3; the most digit-efficient integer base after e: 7 digits

Quinary20243base 5; one hand: 5 digits

Septenary3600base 7: 4 digits

Nonary1730base 9; each digit is two ternary digits: 4 digits

Duodecimal923base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits

Vigesimal363base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits

Sexagesimal22:3base 60; Babylonian, and still how an hour and a circle are divided: 2 digits

Balanced ternary1TT11000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary10101111111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0000010100101011

Bit length11 bitsto write the magnitude

Set bits6the population count, or Hamming weight

Zero bits5within that length

Bit parityeven6 set bits, so even; 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 2b

Gray code11110111110n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0000010100101011

32-bit00000000000000000000010100101011

64-bit0000000000000000000000000000000000000000000000000000010100101011

One's complement1111101011010100at 16 bits, every bit flipped

Bits reversed1101010010100000at 16 bits

Rotated left by 10000101001010110at 16 bits, wrapping

Shifted left by 1101001010110= 2,646, no wrap

Shifted right by 11010010101= 661, discarding the low bit

These bits as a double6.53648849 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,327+4

Previous prime1,321−2

Distance to nearest prime2

Nearest square below1,296

Nearest square above1,369

Powers & multiples

1,323 to the power 21,750,329

1,323 to the power 32,315,685,267

1,323 to the power 43,063,651,608,241

1,323 to the power 54,053,211,077,702,843

First ten multiples1,323, 2,646, 3,969, 5,292, 6,615, 7,938, 9,261, 10,584, 11,907, 13,230

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 3

Divisible by 5No, remainder 3

Divisible by 6No, remainder 3

Divisible by 7Yes

Divisible by 8No, remainder 3

Divisible by 9Yes

Divisible by 10No, remainder 3

Divisible by 11No, remainder 3

Divisible by 12No, remainder 3

Divisible by 100No, remainder 23

Collatz (3n + 1) trajectory

Steps to reach 152the total stopping time

Highest value reached5,9564× the starting value

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

First steps1,323 → 3,970 → 1,985 → 5,956 → 2,978 → 1,489 → 4,468 → 2,234 → 1,117 → 3,352 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage132,300%

1,323% as a decimal13.23

1,323% of 1001,323

1,323% of 1,00013,230

As a fraction of 1001,323/100

Read another way

As seconds22 minutes and 3 seconds

As bytes1.292 KiB

As a year1323 AD

As a 24-bit colour#00052B

Keep nerding

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

Neighbouring numbers

Derived from 1,323

Nearby primes

1323 (year)

Common year
365 days
14th century
Pig

1323 was a common year of 365 days. It began on a Friday and ended on a Friday. Easter Sunday fell on 4 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

Century14th century

Decade1320s

Chinese zodiacPig

Easter Sunday4 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 as1317the most recent year whose calendar is identical, so a printed one could be reused

Calendar repeats in1334, 1345, 135111 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year

Months of 1323

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-20,417,356,800

Unix timestamp at the end-20,385,820,801

Years from now703 years ago

Days from today257,024 days since 1 January

The number 1323

As a number1,323

In wordsone thousand, three hundred and twenty-three

Roman numeralsMCCCXXIII

Keep nerding

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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 1,323

Nearby primes

Other readings

1323 (year)

Structure of the year

Patterns forced by the calendar

Months of 1323

Time references

The number 1323

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