Recognised as Number
4,008
- Positive
- Even
- Composite
- 4 digits
4,008 is an even 4-digit integer and a composite number. It has 16 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value4,008
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 numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^3 × 3 × 167
Distinct prime factors32, 3, 167
Number of divisors16
Sum of divisors σ(n)10,080
Aliquot sum6,072sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)1,328integers below n that share no factor with it
Carmichael function λ(n)166the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 1,328
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1,002, 1,336, 2,004, 4,00816 in total
Arithmetic
Previous number4,007
Next number4,009
Double8,016
Half2,004
Square16,064,064
Cube64,384,768,512
Square root63.308767165≈irrational, shown to 9 decimal places
Cube root15.884586146≈
Negation-4,008
Reciprocal0.000249501≈
Representations
Decimal4,008
Binary11111010100012 bits
Octal7650
HexadecimalFA8
Base 3633C
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour thousand and eight
Ordinalfour thousand and eighth
Scientific notation4.008 × 10^3
Engineering notation4.008 × 10^3
In other bases
Ternary12111110base 3; the most digit-efficient integer base after e: 8 digits
Quinary112013base 5; one hand: 6 digits
Septenary14454base 7: 5 digits
Nonary5443base 9; each digit is two ternary digits: 4 digits
Duodecimal23a0base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimala08base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:6:48base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1TT111110digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1000011111000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000111110101000
Bit length12 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits5within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 11worth 2,048
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes20f a8
Gray code100001111100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000111110101000
32-bit00000000000000000000111110101000
64-bit0000000000000000000000000000000000000000000000000000111110101000
One's complement1111000001010111at 16 bits, every bit flipped
Bits reversed0001010111110000at 16 bits
Rotated left by 10001111101010000at 16 bits, wrapping
Shifted left by 11111101010000= 8,016, no wrap
Shifted right by 111111010100= 2,004, discarding the low bit
These bits as a double1.98021511 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
4,008 to the power 216,064,064
4,008 to the power 364,384,768,512
4,008 to the power 4258,054,152,196,096
4,008 to the power 51,034,281,042,001,952,768
First ten multiples4,008, 8,016, 12,024, 16,032, 20,040, 24,048, 28,056, 32,064, 36,072, 40,080
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6Yes
Divisible by 7No, remainder 4
Divisible by 8Yes
Divisible by 9No, remainder 3
Divisible by 10No, remainder 8
Divisible by 11No, remainder 4
Divisible by 12Yes
Divisible by 100No, remainder 8
Collatz (3n + 1) trajectory
Steps to reach 1113the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps4,008 → 2,004 → 1,002 → 501 → 1,504 → 752 → 376 → 188 → 94 → 47 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage400,800%
4,008% as a decimal40.08
4,008% of 1004,008
4,008% of 1,00040,080
As a fraction of 1004,008/100
Read another way
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Derived from 4,008
Also reads as
4008 (year)
- Leap year
- 366 days
- 41st century
- Monkey
4008 will be a leap year of 366 days. It begins on a Tuesday and ends on a Wednesday. Easter Sunday falls on 6 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Tuesday and Wednesday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays53one of the extras
Wednesdays53one of the extras
Thursdays52
Fridays52
Saturdays52
Friday the 13th1 of them13 June
ISO weeks52an ordinary 52-week year
Same calendar as3980the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in4036, 4064, 409228 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 4008
January31 days, starts Tuesday
February29 days, starts Friday
August31 days, starts Friday
September30 days, starts Monday
October31 days, starts Wednesday
November30 days, starts Saturday
December31 days, starts Monday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start64,313,049,600
Unix timestamp at the end64,344,671,999
Years from now1,982 years from now
Days from today723,653 days to 1 January
The number 4008
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Also reads as
#440000 (colour)
- #440000
- Red
- Dark
- Nearest: Maroon
#440000 is a red with RGB values 68, 0, 0 and HSL 0°, 100%, 13%. It is a dark colour, so white text on it reaches 16.9:1 contrast (AAA for normal text). The nearest named colour is Maroon.
Colour values
#440000#440000
HEX#440000
HEX (short)#400
RGBrgb(68, 0, 0)
RGB (0–1)0.2667, 0, 0
RGB percentages26.7%, 0%, 0%
HSLhsl(0, 100%, 13.3%)
HSV / HSBhsv(0, 100%, 26.7%)
CMYK0%, 100%, 100%, 73.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,456,448
CSS custom property--colour: #440000;
Brightness & contrast
Relative luminance0.01229WCAG 2.x, 0 is black and 1 is white
Perceived brightness37.2 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 16.86:1
Contrast with white16.86:1WCAG normal text: AAA
Contrast with black1.25:1WCAG normal text: Fail
Greyscale equivalent#0E0E0E
Inverted#BBFFFF
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text16.86:1WCAG large text: AAA
Contrast with black, large text1.25:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#004444
Analogous#440022, #442200
Triadic#004400, #000044
Split complementary#004422, #002244
Tetradic#224400, #004444, #220044
Tints, shades & saturation
Channel breakdown
R68
G0
B0
Red68 (26.7%)
Green0 (0%)
Blue0 (0%)
Hue0°
Saturation (HSL)100%
Lightness13.33%
Dominant channelRed
Hex per channelR 44 · G 00 · B 00
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