Recognised as Number
1,328
- Positive
- Even
- Composite
- 4 digits
1,328 is an even 4-digit integer and a composite number. It has 10 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,328
Digit count4
Digit sum14
Digit product48
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^4 × 83
Distinct prime factors22, 83
Number of divisors10
Sum of divisors σ(n)2,604
Aliquot sum1,276sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)656integers below n that share no factor with it
Carmichael function λ(n)164the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 656
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 16, 83, 166, 332, 664, 1,32810 in total
Arithmetic
Representations
Decimal1,328
Binary1010011000011 bits
Octal2460
Hexadecimal530
Base 3610W
Roman numeralMCCCXXVIII
In wordsone thousand, three hundred and twenty-eight
Ordinalone thousand, three hundred and twenty-eighth
Scientific notation1.328 × 10^3
Engineering notation1.328 × 10^3
In other bases
Ternary1211012base 3; the most digit-efficient integer base after e: 7 digits
Quinary20303base 5; one hand: 5 digits
Septenary3605base 7: 4 digits
Nonary1735base 9; each digit is two ternary digits: 4 digits
Duodecimal928base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal368base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal22:8base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TT111TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10101110000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000010100110000
Bit length11 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits7within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 10worth 1,024
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes205 30
Gray code11110101000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000010100110000
32-bit00000000000000000000010100110000
64-bit0000000000000000000000000000000000000000000000000000010100110000
One's complement1111101011001111at 16 bits, every bit flipped
Bits reversed0000110010100000at 16 bits
Rotated left by 10000101001100000at 16 bits, wrapping
Shifted left by 1101001100000= 2,656, no wrap
Shifted right by 11010011000= 664, discarding the low bit
These bits as a double6.56119178 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,328 to the power 21,763,584
1,328 to the power 32,342,039,552
1,328 to the power 43,110,228,525,056
1,328 to the power 54,130,383,481,274,368
First ten multiples1,328, 2,656, 3,984, 5,312, 6,640, 7,968, 9,296, 10,624, 11,952, 13,280
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6No, remainder 2
Divisible by 7No, remainder 5
Divisible by 8Yes
Divisible by 9No, remainder 5
Divisible by 10No, remainder 8
Divisible by 11No, remainder 8
Divisible by 12No, remainder 8
Divisible by 100No, remainder 28
Collatz (3n + 1) trajectory
Steps to reach 1114the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,328 → 664 → 332 → 166 → 83 → 250 → 125 → 376 → 188 → 94 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage132,800%
1,328% as a decimal13.28
1,328% of 1001,328
1,328% of 1,00013,280
As a fraction of 1001,328/100
Read another way
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Derived from 1,328
Also reads as
1328 (year)
- Leap year
- 366 days
- 14th century
- Dragon
- 53 ISO weeks
1328 was a leap year of 366 days. It began on a Thursday and ended on a Friday. Easter Sunday fell on 11 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Thursday and Friday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays53one of the extras
Fridays53one of the extras
Saturdays52
Friday the 13th2 of them13 February, 13 August
ISO weeks53a long year: 1 January is a Thursday, or a Wednesday in a leap year, so a week 53 exists
Same calendar as1288the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1356, 1384, 142428 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1328
January31 days, starts Thursday
February29 days, starts Sunday
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-20,259,590,400
Unix timestamp at the end-20,227,968,001
Years from now698 years ago
Days from today255,200 days since 1 January
The number 1328
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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.
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
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
Hue familycyan
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#331122
Analogous#113311, #113333
Triadic#221133, #332211
Split complementary#331133, #331111
Tetradic#111133, #331122, #333311
Tints, shades & saturation
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
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Harmonies
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