Recognised as Number
8,006
- Positive
- Even
- Composite
- 4 digits
8,006 is an even 4-digit integer and a composite number. It has 4 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value8,006
Digit count4
Digit sum14
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2 × 4,003
Distinct prime factors22, 4,003
Number of divisors4
Sum of divisors σ(n)12,012
Aliquot sum4,006sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)4,002integers below n that share no factor with it
Carmichael function λ(n)4,002the smallest exponent with aˣ ≡ 1 for every unit coprime to n
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 2, 4,003, 8,0064 in total
Arithmetic
Previous number8,005
Next number8,007
Double16,012
Half4,003
Square64,096,036
Cube513,152,864,216
Square root89.476253833≈irrational, shown to 9 decimal places
Cube root20.004998751≈
Negation-8,006
Reciprocal0.0001249063≈
Representations
Decimal8,006
Binary111110100011013 bits
Octal17506
Hexadecimal1F46
Base 3666E
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordseight thousand and six
Ordinaleight thousand and sixth
Scientific notation8.006 × 10^3
Engineering notation8.006 × 10^3
In other bases
Ternary101222112base 3; the most digit-efficient integer base after e: 9 digits
Quinary224011base 5; one hand: 6 digits
Septenary32225base 7: 5 digits
Nonary11875base 9; each digit is two ternary digits: 5 digits
Duodecimal4772base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal1006base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal2:13:26base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary11T000TTTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110001101011010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001111101000110
Bit length13 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits5within that length
Bit parityeven8 set bits, so even; not the same as the number itself being even
Highest set bitbit 12worth 4,096
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes21f 46
Gray code1000011100101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001111101000110
32-bit00000000000000000001111101000110
64-bit0000000000000000000000000000000000000000000000000001111101000110
One's complement1110000010111001at 16 bits, every bit flipped
Bits reversed0110001011111000at 16 bits
Rotated left by 10011111010001100at 16 bits, wrapping
Shifted left by 111111010001100= 16,012, no wrap
Shifted right by 1111110100011= 4,003, discarding the low bit
These bits as a double3.95548956 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
8,006 to the power 264,096,036
8,006 to the power 3513,152,864,216
8,006 to the power 44,108,301,830,913,296
8,006 to the power 532,891,064,458,291,847,776
First ten multiples8,006, 16,012, 24,018, 32,024, 40,030, 48,036, 56,042, 64,048, 72,054, 80,060
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4No, remainder 2
Divisible by 5No, remainder 1
Divisible by 6No, remainder 2
Divisible by 7No, remainder 5
Divisible by 8No, remainder 6
Divisible by 9No, remainder 5
Divisible by 10No, remainder 6
Divisible by 11No, remainder 9
Divisible by 12No, remainder 2
Divisible by 100No, remainder 6
Collatz (3n + 1) trajectory
Steps to reach 152the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps8,006 → 4,003 → 12,010 → 6,005 → 18,016 → 9,008 → 4,504 → 2,252 → 1,126 → 563 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage800,600%
8,006% as a decimal80.06
8,006% of 1008,006
8,006% of 1,00080,060
As a fraction of 1008,006/100
Read another way
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Derived from 8,006
Also reads as
8006 (year)
- Common year
- 365 days
- 81st century
- Dog
8006 will be a common year of 365 days. It begins on a Sunday and ends on a Sunday. Easter Sunday falls on 26 March.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Sunday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays53one of the extras
Mondays52
Tuesdays52
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th2 of them13 January, 13 October
ISO weeks52an ordinary 52-week year
Same calendar as7995the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in8017, 8023, 803411 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 8006
January31 days, starts Sunday
February28 days, starts Wednesday
August31 days, starts Tuesday
September30 days, starts Friday
October31 days, starts Sunday
November30 days, starts Wednesday
December31 days, starts Friday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start190,477,785,600
Unix timestamp at the end190,509,321,599
Years from now5,980 years from now
Days from today2,183,892 days to 1 January
The number 8006
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Also reads as
#880000 (colour)
- #880000
- Red
- Dark
- Nearest: Dark red
#880000 is a red with RGB values 136, 0, 0 and HSL 0°, 100%, 27%. It is a dark colour, so white text on it reaches 10.3:1 contrast (AAA for normal text). The nearest named colour is Dark red.
Colour values
#880000#880000
HEX#880000
HEX (short)#800
RGBrgb(136, 0, 0)
RGB (0–1)0.5333, 0, 0
RGB percentages53.3%, 0%, 0%
HSLhsl(0, 100%, 26.7%)
HSV / HSBhsv(0, 100%, 53.3%)
CMYK0%, 100%, 100%, 46.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer8,912,896
CSS custom property--colour: #880000;
Brightness & contrast
Relative luminance0.05234WCAG 2.x, 0 is black and 1 is white
Perceived brightness74.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 10.26:1
Contrast with white10.26:1WCAG normal text: AAA
Contrast with black2.05:1WCAG normal text: Fail
Greyscale equivalent#1D1D1D
Inverted#77FFFF
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text10.26:1WCAG large text: AAA
Contrast with black, large text2.05:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#008888
Analogous#880044, #884400
Triadic#008800, #000088
Split complementary#008844, #004488
Tetradic#448800, #008888, #440088
Tints, shades & saturation
Channel breakdown
R136
G0
B0
Red136 (53.3%)
Green0 (0%)
Blue0 (0%)
Hue0°
Saturation (HSL)100%
Lightness26.67%
Dominant channelRed
Hex per channelR 88 · G 00 · B 00
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