Recognised as Number
3,321
- Positive
- Odd
- Composite
- 4 digits
3,321 is an odd 4-digit integer and a composite number. It has 10 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value3,321
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
Triangular numberYes, the 81st triangular number
Happy numberYessquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation3^4 × 41
Distinct prime factors23, 41
Number of divisors10
Sum of divisors σ(n)5,082
Aliquot sum1,761sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)2,160integers below n that share no factor with it
Carmichael function λ(n)1,080the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 2,160
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 27, 41, 81, 123, 369, 1,107, 3,32110 in total
Arithmetic
Previous number3,320
Next number3,322
Double6,642
Half1,660.5
Square11,029,041
Cube36,627,445,161
Square root57.628118137≈irrational, shown to 9 decimal places
Cube root14.9195695≈
Negation-3,321
Reciprocal0.0003011141≈
Representations
Decimal3,321
Binary11001111100112 bits
Octal6371
HexadecimalCF9
Base 362K9
Roman numeralMMMCCCXXI
In wordsthree thousand, three hundred and twenty-one
Ordinalthree thousand, three hundred and twenty-first
Scientific notation3.321 × 10^3
Engineering notation3.321 × 10^3
In other bases
Ternary11120000base 3; the most digit-efficient integer base after e: 8 digits
Quinary101241base 5; one hand: 6 digits
Septenary12453base 7: 5 digits
Nonary4500base 9; each digit is two ternary digits: 4 digits
Duodecimal1b09base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal861base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal55:21base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TTTT0000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1110100001001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000110011111001
Bit length12 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits4within that length
Bit parityeven8 set bits, so even; not the same as the number itself being odd
Highest set bitbit 11worth 2,048
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes20c f9
Gray code101010000101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000110011111001
32-bit00000000000000000000110011111001
64-bit0000000000000000000000000000000000000000000000000000110011111001
One's complement1111001100000110at 16 bits, every bit flipped
Bits reversed1001111100110000at 16 bits
Rotated left by 10001100111110010at 16 bits, wrapping
Shifted left by 11100111110010= 6,642, no wrap
Shifted right by 111001111100= 1,660, discarding the low bit
These bits as a double1.64079201 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
3,321 to the power 211,029,041
3,321 to the power 336,627,445,161
3,321 to the power 4121,639,745,379,681
3,321 to the power 5403,965,594,405,920,601
First ten multiples3,321, 6,642, 9,963, 13,284, 16,605, 19,926, 23,247, 26,568, 29,889, 33,210
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 3
Divisible by 7No, remainder 3
Divisible by 8No, remainder 1
Divisible by 9Yes
Divisible by 10No, remainder 1
Divisible by 11No, remainder 10
Divisible by 12No, remainder 9
Divisible by 100No, remainder 21
Collatz (3n + 1) trajectory
Steps to reach 1105the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps3,321 → 9,964 → 4,982 → 2,491 → 7,474 → 3,737 → 11,212 → 5,606 → 2,803 → 8,410 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage332,100%
3,321% as a decimal33.21
3,321% of 1003,321
3,321% of 1,00033,210
As a fraction of 1003,321/100
Read another way
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Derived from 3,321
Also reads as
3321 (year)
- Common year
- 365 days
- 34th century
- Snake
3321 will be a common year of 365 days. It begins on a Wednesday and ends on a Wednesday. Easter Sunday falls on 6 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Wednesday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays53one of the extras
Thursdays52
Fridays52
Saturdays52
Friday the 13th1 of them13 June
ISO weeks52an ordinary 52-week year
Same calendar as3310the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in3327, 3338, 33496 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 3321
January31 days, starts Wednesday
February28 days, starts Saturday
August31 days, starts Friday
September30 days, starts Monday
October31 days, starts Wednesday
November30 days, starts Saturday
December31 days, starts Monday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start42,633,475,200
Unix timestamp at the end42,665,011,199
Years from now1,295 years from now
Days from today472,727 days to 1 January
The number 3321
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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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