Recognised as Number
3,359
- Positive
- Odd
- Prime
- 4 digits
3,359 is an odd 4-digit integer and a prime number. It has 2 divisors and a digital root of 2.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value3,359
Digit count4
Digit sum20
Digit product405
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation3,359
Distinct prime factors13,359
Number of divisors2
Sum of divisors σ(n)3,360
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)3,358integers below n that share no factor with it
Carmichael function λ(n)3,358the 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, 3,3592 in total
Arithmetic
Previous number3,358
Next number3,360
Double6,718
Half1,679.5
Square11,282,881
Cube37,899,197,279
Square root57.956880523≈irrational, shown to 9 decimal places
Cube root14.97625874≈
Negation-3,359
Reciprocal0.0002977077≈
Representations
Decimal3,359
Binary11010001111112 bits
Octal6437
HexadecimalD1F
Base 362LB
Roman numeralMMMCCCLIX
In wordsthree thousand, three hundred and fifty-nine
Ordinalthree thousand, three hundred and fifty-ninth
Scientific notation3.359 × 10^3
Engineering notation3.359 × 10^3
In other bases
Ternary11121102base 3; the most digit-efficient integer base after e: 8 digits
Quinary101414base 5; one hand: 6 digits
Septenary12536base 7: 5 digits
Nonary4542base 9; each digit is two ternary digits: 4 digits
Duodecimal1b3bbase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal87jbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal55:59base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TTTT111Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1110101100011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000110100011111
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
Bytes20d 1f
Gray code101110010000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000110100011111
32-bit00000000000000000000110100011111
64-bit0000000000000000000000000000000000000000000000000000110100011111
One's complement1111001011100000at 16 bits, every bit flipped
Bits reversed1111100010110000at 16 bits
Rotated left by 10001101000111110at 16 bits, wrapping
Shifted left by 11101000111110= 6,718, no wrap
Shifted right by 111010001111= 1,679, discarding the low bit
These bits as a double1.6595665 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
3,359 to the power 211,282,881
3,359 to the power 337,899,197,279
3,359 to the power 4127,303,403,660,161
3,359 to the power 5427,612,132,894,480,799
First ten multiples3,359, 6,718, 10,077, 13,436, 16,795, 20,154, 23,513, 26,872, 30,231, 33,590
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 3
Divisible by 5No, remainder 4
Divisible by 6No, remainder 5
Divisible by 7No, remainder 6
Divisible by 8No, remainder 7
Divisible by 9No, remainder 2
Divisible by 10No, remainder 9
Divisible by 11No, remainder 4
Divisible by 12No, remainder 11
Divisible by 100No, remainder 59
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 steps3,359 → 10,078 → 5,039 → 15,118 → 7,559 → 22,678 → 11,339 → 34,018 → 17,009 → 51,028 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage335,900%
3,359% as a decimal33.59
3,359% of 1003,359
3,359% of 1,00033,590
As a fraction of 1003,359/100
Read another way
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Derived from 3,359
Also reads as
3359 (year)
- Common year
- 365 days
- 34th century
- Goat
3359 will be a common year of 365 days. It begins on a Monday and ends on a Monday. Easter Sunday falls on 8 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Monday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays53one of the extras
Tuesdays52
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th2 of them13 April, 13 July
ISO weeks52an ordinary 52-week year
Same calendar as3353the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in3370, 3381, 338711 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 3359
January31 days, starts Monday
February28 days, starts Thursday
September30 days, starts Saturday
October31 days, starts Monday
November30 days, starts Thursday
December31 days, starts Saturday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start43,832,620,800
Unix timestamp at the end43,864,156,799
Years from now1,333 years from now
Days from today486,613 days to 1 January
The number 3359
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Also reads as
#333355 (colour)
- #333355
- Blue
- Dark
- Nearest: Dark slateblue
#333355 is a blue with RGB values 51, 51, 85 and HSL 240°, 25%, 27%. It is a dark colour, so white text on it reaches 12:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.
Colour values
#333355#333355
HEX#333355
HEX (short)#335
RGBrgb(51, 51, 85)
RGB (0–1)0.2, 0.2, 0.3333
RGB percentages20%, 20%, 33.3%
HSLhsl(240, 25%, 26.7%)
HSV / HSBhsv(240, 40%, 33.3%)
CMYK40%, 40%, 0%, 66.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer3,355,477
CSS custom property--colour: #333355;
Brightness & contrast
Relative luminance0.03727WCAG 2.x, 0 is black and 1 is white
Perceived brightness55.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 12.03:1
Contrast with white12.03:1WCAG normal text: AAA
Contrast with black1.75:1WCAG normal text: Fail
Greyscale equivalent#353535
Inverted#CCCCAA
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text12.03:1WCAG large text: AAA
Contrast with black, large text1.75:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#555533
Analogous#334455, #443355
Triadic#553333, #335533
Split complementary#554433, #445533
Tetradic#553344, #555533, #335544
Tints, shades & saturation
Channel breakdown
R51
G51
B85
Red51 (20%)
Green51 (20%)
Blue85 (33.3%)
Hue240°
Saturation (HSL)25%
Lightness26.67%
Dominant channelBlue
Hex per channelR 33 · G 33 · B 55
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Harmonies
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