Recognised as Number
1,009
- Positive
- Odd
- Prime
- 4 digits
1,009 is an odd 4-digit integer and a prime number. It has 2 divisors and a digital root of 1.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value1,009
Digit count4
Digit sum10
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation1,009
Distinct prime factors11,009
Number of divisors2
Sum of divisors σ(n)1,010
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)1,008integers below n that share no factor with it
Carmichael function λ(n)1,008the smallest exponent with aˣ ≡ 1 for every unit coprime to n
Möbius function μ(n)−11 distinct prime factor, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 1,0092 in total
Arithmetic
Representations
Decimal1,009
Binary111111000110 bits
Octal1761
Hexadecimal3F1
Base 36S1
Roman numeralMIX
In wordsone thousand and nine
Ordinalone thousand and ninth
Scientific notation1.009 × 10^3
Engineering notation1.009 × 10^3
In other bases
Ternary1101101base 3; the most digit-efficient integer base after e: 7 digits
Quinary13014base 5; one hand: 5 digits
Septenary2641base 7: 4 digits
Nonary1341base 9; each digit is two ternary digits: 4 digits
Duodecimal701base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2a9base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal16:49base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1101101digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10000110001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000001111110001
Bit length10 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits3within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 9worth 512
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes203 f1
Gray code1000001001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000001111110001
32-bit00000000000000000000001111110001
64-bit0000000000000000000000000000000000000000000000000000001111110001
One's complement1111110000001110at 16 bits, every bit flipped
Bits reversed1000111111000000at 16 bits
Rotated left by 10000011111100010at 16 bits, wrapping
Shifted left by 111111100010= 2,018, no wrap
Shifted right by 1111111000= 504, discarding the low bit
These bits as a double4.98512237 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,009 to the power 21,018,081
1,009 to the power 31,027,243,729
1,009 to the power 41,036,488,922,561
1,009 to the power 51,045,817,322,864,049
First ten multiples1,009, 2,018, 3,027, 4,036, 5,045, 6,054, 7,063, 8,072, 9,081, 10,090
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5No, remainder 4
Divisible by 6No, remainder 1
Divisible by 7No, remainder 1
Divisible by 8No, remainder 1
Divisible by 9No, remainder 1
Divisible by 10No, remainder 9
Divisible by 11No, remainder 8
Divisible by 12No, remainder 1
Divisible by 100No, remainder 9
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 steps1,009 → 3,028 → 1,514 → 757 → 2,272 → 1,136 → 568 → 284 → 142 → 71 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage100,900%
1,009% as a decimal10.09
1,009% of 1001,009
1,009% of 1,00010,090
As a fraction of 1001,009/100
Read another way
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Derived from 1,009
Also reads as
1009 (year)
- Common year
- 365 days
- 11th century
- Rooster
1009 was a common year of 365 days. It began on a Sunday and ended on a Sunday. Easter Sunday fell on 23 April.
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 as997the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1015, 1026, 10376 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1009
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 start-30,326,227,200
Unix timestamp at the end-30,294,691,201
Years from now1,017 years ago
Days from today371,710 days since 1 January
The number 1009
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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
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