Recognised as Number
3,320
- Positive
- Even
- Composite
- 4 digits
3,320 is an even 4-digit integer and a composite number. It has 16 divisors and a digital root of 8.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value3,320
Digit count4
Digit sum8
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^3 × 5 × 83
Distinct prime factors32, 5, 83
Number of divisors16
Sum of divisors σ(n)7,560
Aliquot sum4,240sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)1,312integers 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) = 1,312
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1,660, 3,32016 in total
Arithmetic
Previous number3,319
Next number3,321
Double6,640
Half1,660
Square11,022,400
Cube36,594,368,000
Square root57.619441164≈irrational, shown to 9 decimal places
Cube root14.918071852≈
Negation-3,320
Reciprocal0.0003012048≈
Representations
Decimal3,320
Binary11001111100012 bits
Octal6370
HexadecimalCF8
Base 362K8
Roman numeralMMMCCCXX
In wordsthree thousand, three hundred and twenty
Ordinalthree thousand, three hundred and twentieth
Scientific notation3.32 × 10^3
Engineering notation3.32 × 10^3
In other bases
Ternary11112222base 3; the most digit-efficient integer base after e: 8 digits
Quinary101240base 5; one hand: 6 digits
Septenary12452base 7: 5 digits
Nonary4488base 9; each digit is two ternary digits: 4 digits
Duodecimal1b08base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal860base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal55:20base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TTTT000Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1110100001000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000110011111000
Bit length12 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits5within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 11worth 2,048
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes20c f8
Gray code101010000100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000110011111000
32-bit00000000000000000000110011111000
64-bit0000000000000000000000000000000000000000000000000000110011111000
One's complement1111001100000111at 16 bits, every bit flipped
Bits reversed0001111100110000at 16 bits
Rotated left by 10001100111110000at 16 bits, wrapping
Shifted left by 11100111110000= 6,640, no wrap
Shifted right by 111001111100= 1,660, discarding the low bit
These bits as a double1.64029794 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
3,320 to the power 211,022,400
3,320 to the power 336,594,368,000
3,320 to the power 4121,493,301,760,000
3,320 to the power 5403,357,761,843,200,000
First ten multiples3,320, 6,640, 9,960, 13,280, 16,600, 19,920, 23,240, 26,560, 29,880, 33,200
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 2
Divisible by 7No, remainder 2
Divisible by 8Yes
Divisible by 9No, remainder 8
Divisible by 10Yes
Divisible by 11No, remainder 9
Divisible by 12No, remainder 8
Divisible by 100No, remainder 20
Collatz (3n + 1) trajectory
Steps to reach 1136the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps3,320 → 1,660 → 830 → 415 → 1,246 → 623 → 1,870 → 935 → 2,806 → 1,403 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage332,000%
3,320% as a decimal33.2
3,320% of 1003,320
3,320% of 1,00033,200
As a fraction of 1003,320/100
Read another way
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Derived from 3,320
Also reads as
3320 (year)
- Leap year
- 366 days
- 34th century
- Dragon
3320 will be a leap year of 366 days. It begins on a Monday and ends on a Tuesday. Easter Sunday falls on 21 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Monday and Tuesday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays53one of the extras
Tuesdays53one of the extras
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th2 of them13 September, 13 December
ISO weeks52an ordinary 52-week year
Same calendar as3280the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in3348, 3376, 341628 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 3320
January31 days, starts Monday
February29 days, starts Thursday
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 start42,601,852,800
Unix timestamp at the end42,633,475,199
Years from now1,294 years from now
Days from today472,361 days to 1 January
The number 3320
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Also reads as
#333322 (colour)
- #333322
- Yellow
- Dark
- Nearest: Dark slate grey
#333322 is a yellow with RGB values 51, 51, 34 and HSL 60°, 20%, 17%. It is a dark colour, so white text on it reaches 12.8:1 contrast (AAA for normal text). The nearest named colour is Dark slate grey.
Colour values
#333322#333322
HEX#333322
HEX (short)#332
RGBrgb(51, 51, 34)
RGB (0–1)0.2, 0.2, 0.1333
RGB percentages20%, 20%, 13.3%
HSLhsl(60, 20%, 16.7%)
HSV / HSBhsv(60, 33.3%, 20%)
CMYK0%, 0%, 33.3%, 80%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer3,355,426
CSS custom property--colour: #333322;
Brightness & contrast
Relative luminance0.03187WCAG 2.x, 0 is black and 1 is white
Perceived brightness49.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 12.83:1
Contrast with white12.83:1WCAG normal text: AAA
Contrast with black1.64:1WCAG normal text: Fail
Greyscale equivalent#323232
Inverted#CCCCDD
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text12.83:1WCAG large text: AAA
Contrast with black, large text1.64:1WCAG large text: Fail
Named colours
Hue familyyellow
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#222233
Analogous#332B22, #2B3322
Triadic#223333, #332233
Split complementary#222B33, #2B2233
Tetradic#22332B, #222233, #33222B
Tints, shades & saturation
Channel breakdown
R51
G51
B34
Red51 (20%)
Green51 (20%)
Blue34 (13.3%)
Hue60°
Saturation (HSL)20%
Lightness16.67%
Dominant channelRed and Green
Hex per channelR 33 · G 33 · B 22
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Harmonies
Similar named colours
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