Recognised as Number
8,013
- Positive
- Odd
- Composite
- 4 digits
8,013 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 3.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value8,013
Digit count4
Digit sum12
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation3 × 2,671
Distinct prime factors23, 2,671
Number of divisors4
Sum of divisors σ(n)10,688
Aliquot sum2,675sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)5,340integers below n that share no factor with it
Carmichael function λ(n)2,670the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 5,340
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 3, 2,671, 8,0134 in total
Arithmetic
Previous number8,012
Next number8,014
Double16,026
Half4,006.5
Square64,208,169
Cube514,500,058,197
Square root89.51536181≈irrational, shown to 9 decimal places
Cube root20.010827471≈
Negation-8,013
Reciprocal0.0001247972≈
Representations
Decimal8,013
Binary111110100110113 bits
Octal17515
Hexadecimal1F4D
Base 3666L
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordseight thousand and thirteen
Ordinaleight thousand and thirteenth
Scientific notation8.013 × 10^3
Engineering notation8.013 × 10^3
In other bases
Ternary101222210base 3; the most digit-efficient integer base after e: 9 digits
Quinary224023base 5; one hand: 6 digits
Septenary32235base 7: 5 digits
Nonary11883base 9; each digit is two ternary digits: 5 digits
Duodecimal4779base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal100dbase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal2:13:33base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary11T000T10digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110001101011101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001111101001101
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
Bytes21f 4d
Gray code1000011101011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001111101001101
32-bit00000000000000000001111101001101
64-bit0000000000000000000000000000000000000000000000000001111101001101
One's complement1110000010110010at 16 bits, every bit flipped
Bits reversed1011001011111000at 16 bits
Rotated left by 10011111010011010at 16 bits, wrapping
Shifted left by 111111010011010= 16,026, no wrap
Shifted right by 1111110100110= 4,006, discarding the low bit
These bits as a double3.95894802 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
8,013 to the power 264,208,169
8,013 to the power 3514,500,058,197
8,013 to the power 44,122,688,966,332,561
8,013 to the power 533,035,106,687,222,811,293
First ten multiples8,013, 16,026, 24,039, 32,052, 40,065, 48,078, 56,091, 64,104, 72,117, 80,130
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 3
Divisible by 6No, remainder 3
Divisible by 7No, remainder 5
Divisible by 8No, remainder 5
Divisible by 9No, remainder 3
Divisible by 10No, remainder 3
Divisible by 11No, remainder 5
Divisible by 12No, remainder 9
Divisible by 100No, remainder 13
Collatz (3n + 1) trajectory
Steps to reach 1145the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps8,013 → 24,040 → 12,020 → 6,010 → 3,005 → 9,016 → 4,508 → 2,254 → 1,127 → 3,382 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage801,300%
8,013% as a decimal80.13
8,013% of 1008,013
8,013% of 1,00080,130
As a fraction of 1008,013/100
Read another way
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Derived from 8,013
Also reads as
8013 (year)
- Common year
- 365 days
- 81st century
- Snake
8013 will be a common year of 365 days. It begins on a Tuesday and ends on a Tuesday. Easter Sunday falls on 7 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Tuesday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays53one of the extras
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th2 of them13 September, 13 December
ISO weeks52an ordinary 52-week year
Same calendar as8002the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in8019, 8030, 80416 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 8013
January31 days, starts Tuesday
February28 days, starts Friday
August31 days, starts Thursday
September30 days, starts Sunday
October31 days, starts Tuesday
November30 days, starts Friday
December31 days, starts Sunday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start190,698,710,400
Unix timestamp at the end190,730,246,399
Years from now5,987 years from now
Days from today2,186,444 days to 1 January
The number 8013
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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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