Recognised as Number
8,016
- Positive
- Even
- Composite
- 4 digits
8,016 is an even 4-digit integer and a composite number. It has 20 divisors and a digital root of 6.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value8,016
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 factorisation2^4 × 3 × 167
Distinct prime factors32, 3, 167
Number of divisors20
Sum of divisors σ(n)20,832
Aliquot sum12,816sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)2,656integers below n that share no factor with it
Carmichael function λ(n)332the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 2,656
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1,002, 1,336, 2,004, 2,672, 4,008, 8,01620 in total
Arithmetic
Previous number8,015
Next number8,017
Double16,032
Half4,008
Square64,256,256
Cube515,078,148,096
Square root89.532117142≈irrational, shown to 9 decimal places
Cube root20.013324454≈
Negation-8,016
Reciprocal0.0001247505≈
Representations
Decimal8,016
Binary111110101000013 bits
Octal17520
Hexadecimal1F50
Base 3666O
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordseight thousand and sixteen
Ordinaleight thousand and sixteenth
Scientific notation8.016 × 10^3
Engineering notation8.016 × 10^3
In other bases
Ternary101222220base 3; the most digit-efficient integer base after e: 9 digits
Quinary224031base 5; one hand: 6 digits
Septenary32241base 7: 5 digits
Nonary11886base 9; each digit is two ternary digits: 5 digits
Duodecimal4780base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal100gbase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal2:13:36base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary11T0000T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110001101010000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001111101010000
Bit length13 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits6within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 12worth 4,096
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes21f 50
Gray code1000011111000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001111101010000
32-bit00000000000000000001111101010000
64-bit0000000000000000000000000000000000000000000000000001111101010000
One's complement1110000010101111at 16 bits, every bit flipped
Bits reversed0000101011111000at 16 bits
Rotated left by 10011111010100000at 16 bits, wrapping
Shifted left by 111111010100000= 16,032, no wrap
Shifted right by 1111110101000= 4,008, discarding the low bit
These bits as a double3.96043022 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
8,016 to the power 264,256,256
8,016 to the power 3515,078,148,096
8,016 to the power 44,128,866,435,137,536
8,016 to the power 533,096,993,344,062,488,576
First ten multiples8,016, 16,032, 24,048, 32,064, 40,080, 48,096, 56,112, 64,128, 72,144, 80,160
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 1
Divisible by 6Yes
Divisible by 7No, remainder 1
Divisible by 8Yes
Divisible by 9No, remainder 6
Divisible by 10No, remainder 6
Divisible by 11No, remainder 8
Divisible by 12Yes
Divisible by 100No, remainder 16
Collatz (3n + 1) trajectory
Steps to reach 1114the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps8,016 → 4,008 → 2,004 → 1,002 → 501 → 1,504 → 752 → 376 → 188 → 94 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage801,600%
8,016% as a decimal80.16
8,016% of 1008,016
8,016% of 1,00080,160
As a fraction of 1008,016/100
Read another way
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Derived from 8,016
Also reads as
8016 (year)
- Leap year
- 366 days
- 81st century
- Monkey
8016 will be a leap year of 366 days. It begins on a Friday and ends on a Saturday. Easter Sunday falls on 3 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Friday and Saturday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays52
Fridays53one of the extras
Saturdays53one of the extras
Friday the 13th1 of them13 May
ISO weeks52an ordinary 52-week year
Same calendar as7988the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in8044, 8072, 811228 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 8016
January31 days, starts Friday
February29 days, starts Monday
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 start190,793,318,400
Unix timestamp at the end190,824,940,799
Years from now5,990 years from now
Days from today2,187,540 days to 1 January
The number 8016
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Also reads as
#880011 (colour)
- #880011
- Red
- Dark
- Nearest: Maroon
#880011 is a red with RGB values 136, 0, 17 and HSL 353°, 100%, 27%. It is a dark colour, so white text on it reaches 10.2:1 contrast (AAA for normal text). The nearest named colour is Maroon.
Colour values
#880011#880011
HEX#880011
HEX (short)#801
RGBrgb(136, 0, 17)
RGB (0–1)0.5333, 0, 0.0667
RGB percentages53.3%, 0%, 6.7%
HSLhsl(352.5, 100%, 26.7%)
HSV / HSBhsv(352.5, 100%, 53.3%)
CMYK0%, 100%, 87.5%, 46.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer8,912,913
CSS custom property--colour: #880011;
Brightness & contrast
Relative luminance0.05275WCAG 2.x, 0 is black and 1 is white
Perceived brightness74.6 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 10.22:1
Contrast with white10.22:1WCAG normal text: AAA
Contrast with black2.05:1WCAG normal text: Fail
Greyscale equivalent#1E1E1E
Inverted#77FFEE
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text10.22:1WCAG 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#008877
Analogous#880055, #883300
Triadic#118800, #001188
Split complementary#008833, #005588
Tetradic#558800, #008877, #330088
Tints, shades & saturation
Channel breakdown
R136
G0
B17
Red136 (53.3%)
Green0 (0%)
Blue17 (6.7%)
Hue352.5°
Saturation (HSL)100%
Lightness26.67%
Dominant channelRed
Hex per channelR 88 · G 00 · B 11
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