Recognised as Number
1,008
- Positive
- Even
- Composite
- 4 digits
1,008 is an even 4-digit integer and a composite number. It has 30 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,008
Digit count4
Digit sum9
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^4 × 3^2 × 7
Distinct prime factors32, 3, 7
Number of divisors30
Sum of divisors σ(n)3,224
Aliquot sum2,216sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)288integers below n that share no factor with it
Carmichael function λ(n)12the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 288
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1,00830 in total
Arithmetic
Representations
Decimal1,008
Binary111111000010 bits
Octal1760
Hexadecimal3F0
Base 36S0
Roman numeralMVIII
In wordsone thousand and eight
Ordinalone thousand and eighth
Scientific notation1.008 × 10^3
Engineering notation1.008 × 10^3
In other bases
Ternary1101100base 3; the most digit-efficient integer base after e: 7 digits
Quinary13013base 5; one hand: 5 digits
Septenary2640base 7: 4 digits
Nonary1340base 9; each digit is two ternary digits: 4 digits
Duodecimal700base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2a8base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal16:48base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1101100digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10000110000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000001111110000
Bit length10 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits4within that length
Bit parityeven6 set bits, so even; not the same as the number itself being even
Highest set bitbit 9worth 512
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes203 f0
Gray code1000001000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000001111110000
32-bit00000000000000000000001111110000
64-bit0000000000000000000000000000000000000000000000000000001111110000
One's complement1111110000001111at 16 bits, every bit flipped
Bits reversed0000111111000000at 16 bits
Rotated left by 10000011111100000at 16 bits, wrapping
Shifted left by 111111100000= 2,016, no wrap
Shifted right by 1111111000= 504, discarding the low bit
These bits as a double4.98018171 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,008 to the power 21,016,064
1,008 to the power 31,024,192,512
1,008 to the power 41,032,386,052,096
1,008 to the power 51,040,645,140,512,768
First ten multiples1,008, 2,016, 3,024, 4,032, 5,040, 6,048, 7,056, 8,064, 9,072, 10,080
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6Yes
Divisible by 7Yes
Divisible by 8Yes
Divisible by 9Yes
Divisible by 10No, remainder 8
Divisible by 11No, remainder 7
Divisible by 12Yes
Divisible by 100No, remainder 8
Collatz (3n + 1) trajectory
Steps to reach 1111the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,008 → 504 → 252 → 126 → 63 → 190 → 95 → 286 → 143 → 430 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage100,800%
1,008% as a decimal10.08
1,008% of 1001,008
1,008% of 1,00010,080
As a fraction of 1001,008/100
Read another way
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from 1,008
Also reads as
1008 (year)
- Leap year
- 366 days
- 11th century
- Monkey
1008 was a leap year of 366 days. It began on a Friday and ended on a Saturday. Easter Sunday fell 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 as996the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1036, 1064, 109228 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1008
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 start-30,357,849,600
Unix timestamp at the end-30,326,227,201
Years from now1,018 years ago
Days from today372,077 days since 1 January
The number 1008
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Also reads as
#110000 (colour)
- #110000
- Red
- Dark
- Nearest: Black
#110000 is a red with RGB values 17, 0, 0 and HSL 0°, 100%, 3%. It is a dark colour, so white text on it reaches 20.5:1 contrast (AAA for normal text). The nearest named colour is Black.
Colour values
#110000#110000
HEX#110000
HEX (short)#100
RGBrgb(17, 0, 0)
RGB (0–1)0.0667, 0, 0
RGB percentages6.7%, 0%, 0%
HSLhsl(0, 100%, 3.3%)
HSV / HSBhsv(0, 100%, 6.7%)
CMYK0%, 100%, 100%, 93.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,114,112
CSS custom property--colour: #110000;
Brightness & contrast
Relative luminance0.00119WCAG 2.x, 0 is black and 1 is white
Perceived brightness9.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 20.51:1
Contrast with white20.51:1WCAG normal text: AAA
Contrast with black1.02:1WCAG normal text: Fail
Greyscale equivalent#040404
Inverted#EEFFFF
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text20.51:1WCAG large text: AAA
Contrast with black, large text1.02:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#001111
Analogous#110009, #110900
Triadic#001100, #000011
Split complementary#001109, #000911
Tetradic#091100, #001111, #090011
Tints, shades & saturation
Channel breakdown
R17
G0
B0
Red17 (6.7%)
Green0 (0%)
Blue0 (0%)
Hue0°
Saturation (HSL)100%
Lightness3.33%
Dominant channelRed
Hex per channelR 11 · G 00 · B 00
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Nerdulate something else
Nothing in mind? Surprise me · today’s page