Recognised as Number
3,329
- Positive
- Odd
- Prime
- 4 digits
3,329 is an odd 4-digit integer and a prime number. It has 2 divisors and a digital root of 8.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value3,329
Digit count4
Digit sum17
Digit product162
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation3,329
Distinct prime factors13,329
Number of divisors2
Sum of divisors σ(n)3,330
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)3,328integers below n that share no factor with it
Carmichael function λ(n)3,328the smallest exponent with aˣ ≡ 1 for every unit coprime to n
Möbius function μ(n)−11 distinct prime factor, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 3,3292 in total
Arithmetic
Previous number3,328
Next number3,330
Double6,658
Half1,664.5
Square11,082,241
Cube36,892,780,289
Square root57.697486947≈irrational, shown to 9 decimal places
Cube root14.931539875≈
Negation-3,329
Reciprocal0.0003003905≈
Representations
Decimal3,329
Binary11010000000112 bits
Octal6401
HexadecimalD01
Base 362KH
Roman numeralMMMCCCXXIX
In wordsthree thousand, three hundred and twenty-nine
Ordinalthree thousand, three hundred and twenty-ninth
Scientific notation3.329 × 10^3
Engineering notation3.329 × 10^3
In other bases
Ternary11120022base 3; the most digit-efficient integer base after e: 8 digits
Quinary101304base 5; one hand: 6 digits
Septenary12464base 7: 5 digits
Nonary4508base 9; each digit is two ternary digits: 4 digits
Duodecimal1b15base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal869base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal55:29base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TTTT010Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1110100000001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000110100000001
Bit length12 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits8within that length
Bit parityeven4 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
Bytes20d 01
Gray code101110000001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000110100000001
32-bit00000000000000000000110100000001
64-bit0000000000000000000000000000000000000000000000000000110100000001
One's complement1111001011111110at 16 bits, every bit flipped
Bits reversed1000000010110000at 16 bits
Rotated left by 10001101000000010at 16 bits, wrapping
Shifted left by 11101000000010= 6,658, no wrap
Shifted right by 111010000000= 1,664, discarding the low bit
These bits as a double1.64474454 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
3,329 to the power 211,082,241
3,329 to the power 336,892,780,289
3,329 to the power 4122,816,065,582,081
3,329 to the power 5408,854,682,322,747,649
First ten multiples3,329, 6,658, 9,987, 13,316, 16,645, 19,974, 23,303, 26,632, 29,961, 33,290
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 4
Divisible by 6No, remainder 5
Divisible by 7No, remainder 4
Divisible by 8No, remainder 1
Divisible by 9No, remainder 8
Divisible by 10No, remainder 9
Divisible by 11No, remainder 7
Divisible by 12No, remainder 5
Divisible by 100No, remainder 29
Collatz (3n + 1) trajectory
Steps to reach 192the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps3,329 → 9,988 → 4,994 → 2,497 → 7,492 → 3,746 → 1,873 → 5,620 → 2,810 → 1,405 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage332,900%
3,329% as a decimal33.29
3,329% of 1003,329
3,329% of 1,00033,290
As a fraction of 1003,329/100
Read another way
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Derived from 3,329
Also reads as
3329 (year)
- Common year
- 365 days
- 34th century
- Ox
3329 will be a common year of 365 days. It begins on a Saturday and ends on a Saturday. Easter Sunday falls on 10 April.
Structure of the year
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 as3318the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in3335, 3346, 33576 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 3329
January31 days, starts Saturday
February28 days, starts Tuesday
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 start42,885,936,000
Unix timestamp at the end42,917,471,999
Years from now1,303 years from now
Days from today475,649 days to 1 January
The number 3329
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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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