Recognised as Number
6,009
- Positive
- Odd
- Composite
- 4 digits
6,009 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 6.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value6,009
Digit count4
Digit sum15
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation3 × 2,003
Distinct prime factors23, 2,003
Number of divisors4
Sum of divisors σ(n)8,016
Aliquot sum2,007sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)4,004integers below n that share no factor with it
Carmichael function λ(n)2,002the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 4,004
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 3, 2,003, 6,0094 in total
Arithmetic
Previous number6,008
Next number6,010
Double12,018
Half3,004.5
Square36,108,081
Cube216,973,458,729
Square root77.517739905≈irrational, shown to 9 decimal places
Cube root18.180286992≈
Negation-6,009
Reciprocal0.000166417≈
Representations
Decimal6,009
Binary101110111100113 bits
Octal13571
Hexadecimal1779
Base 364MX
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordssix thousand and nine
Ordinalsix thousand and ninth
Scientific notation6.009 × 10^3
Engineering notation6.009 × 10^3
In other bases
Ternary22020120base 3; the most digit-efficient integer base after e — 8 digits
Quinary143014base 5; one hand — 6 digits
Septenary23343base 7 — 5 digits
Nonary8216base 9; each digit is two ternary digits — 4 digits
Duodecimal3589base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves — 4 digits
Vigesimalf09base 20; hands and feet, and the Mayan and Yoruba systems — 3 digits
Sexagesimal1:40:9base 60; Babylonian, and still how an hour and a circle are divided — 3 digits
Balanced ternary10T1T1TT0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110100010001001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001011101111001
Bit length13 bitsto write the magnitude
Set bits9the population count, or Hamming weight
Zero bits4within that length
Bit parityodd9 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 12worth 4,096
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes217 79
Gray code1110011000101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001011101111001
32-bit00000000000000000001011101111001
64-bit0000000000000000000000000000000000000000000000000001011101111001
One's complement1110100010000110at 16 bits, every bit flipped
Bits reversed1001111011101000at 16 bits
Rotated left by 10010111011110010at 16 bits, wrapping
Shifted left by 110111011110010= 12,018, no wrap
Shifted right by 1101110111100= 3,004, discarding the low bit
These bits as a double2.96884047 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
6,009 to the power 236,108,081
6,009 to the power 3216,973,458,729
6,009 to the power 41,303,793,513,502,561
6,009 to the power 57,834,495,222,636,889,049
First ten multiples6,009, 12,018, 18,027, 24,036, 30,045, 36,054, 42,063, 48,072, 54,081, 60,090
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 4
Divisible by 6No, remainder 3
Divisible by 7No, remainder 3
Divisible by 8No, remainder 1
Divisible by 9No, remainder 6
Divisible by 10No, remainder 9
Divisible by 11No, remainder 3
Divisible by 12No, remainder 9
Divisible by 100No, remainder 9
Collatz (3n + 1) trajectory
Steps to reach 193the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps6,009 → 18,028 → 9,014 → 4,507 → 13,522 → 6,761 → 20,284 → 10,142 → 5,071 → 15,214 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage600,900%
6,009% as a decimal60.09
6,009% of 1006,009
6,009% of 1,00060,090
As a fraction of 1006,009/100
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Derived from 6,009
Also reads as
6009 (year)
- Common year
- 365 days
- 61st century
- Snake
- 53 ISO weeks
6009 will be a common year of 365 days. It begins on a Thursday and ends on a Thursday. Easter Sunday falls on 12 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Thursday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays53one of the extras
Fridays52
Saturdays52
Friday the 13th3 of them13 February, 13 March, 13 November
ISO weeks53a long year: 1 January is a Thursday, or a Wednesday in a leap year, so a week 53 exists
Same calendar as5998the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in6015, 6026, 60376 years later, then again after that — the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 6009
January31 days, starts Thursday
February28 days, starts Sunday
August31 days, starts Saturday
September30 days, starts Tuesday
October31 days, starts Thursday
November30 days, starts Sunday
December31 days, starts Tuesday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start127,458,576,000
Unix timestamp at the end127,490,111,999
Years from now3,983 years from now
Days from today1,454,507 days to 1 January
The number 6009
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Also reads as
#660000 (colour)
- #660000
- Red
- Dark
- Nearest: Maroon
#660000 is a red with RGB values 102, 0, 0 and HSL 0°, 100%, 20%. It is a dark colour, so white text on it reaches 13.4:1 contrast (AAA for normal text). The nearest named colour is Maroon.
Colour values
#660000#660000
HEX#660000
HEX (short)#600
RGBrgb(102, 0, 0)
RGB (0–1)0.4, 0, 0
RGB percentages40%, 0%, 0%
HSLhsl(0, 100%, 20%)
HSV / HSBhsv(0, 100%, 40%)
CMYK0%, 100%, 100%, 60%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer6,684,672
CSS custom property--colour: #660000;
Brightness & contrast
Relative luminance0.02825WCAG 2.x, 0 is black and 1 is white
Perceived brightness55.8 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 13.42:1
Contrast with white13.42:1WCAG normal text: AAA
Contrast with black1.56:1WCAG normal text: Fail
Greyscale equivalent#161616
Inverted#99FFFF
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text13.42:1WCAG large text: AAA
Contrast with black, large text1.56:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#006666
Analogous#660033, #663300
Triadic#006600, #000066
Split complementary#006633, #003366
Tetradic#336600, #006666, #330066
Tints, shades & saturation
Channel breakdown
R102
G0
B0
Red102 (40%)
Green0 (0%)
Blue0 (0%)
Hue0°
Saturation (HSL)100%
Lightness20%
Dominant channelRed
Hex per channelR 66 · G 00 · B 00
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