Recognised as Number
6,987
- Positive
- Odd
- Composite
- 4 digits
6,987 is an odd 4-digit integer and a composite number. It has 8 divisors and a digital root of 3.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value6,987
Digit count4
Digit sum30
Digit product3,024
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation3 × 17 × 137
Distinct prime factors33, 17, 137
Number of divisors8
Sum of divisors σ(n)9,936
Aliquot sum2,949sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)4,352integers below n that share no factor with it
Carmichael function λ(n)272the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 4,352
Möbius function μ(n)−13 distinct prime factors, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 3, 17, 51, 137, 411, 2,329, 6,9878 in total
Arithmetic
Previous number6,986
Next number6,988
Double13,974
Half3,493.5
Square48,818,169
Cube341,092,546,803
Square root83.58827669≈irrational, shown to 9 decimal places
Cube root19.117462534≈
Negation-6,987
Reciprocal0.0001431229≈
Representations
Decimal6,987
Binary110110100101113 bits
Octal15513
Hexadecimal1B4B
Base 365E3
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordssix thousand, nine hundred and eighty-seven
Ordinalsix thousand, nine hundred and eighty-seventh
Scientific notation6.987 × 10^3
Engineering notation6.987 × 10^3
In other bases
Ternary100120210base 3; the most digit-efficient integer base after e: 9 digits
Quinary210422base 5; one hand: 6 digits
Septenary26241base 7: 5 digits
Nonary10523base 9; each digit is two ternary digits: 5 digits
Duodecimal4063base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimalh97base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:56:27base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary101TT1T10digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110111101011111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001101101001011
Bit length13 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits5within that length
Bit parityeven8 set bits, so even; not the same as the number itself being odd
Highest set bitbit 12worth 4,096
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes21b 4b
Gray code1011011101110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001101101001011
32-bit00000000000000000001101101001011
64-bit0000000000000000000000000000000000000000000000000001101101001011
One's complement1110010010110100at 16 bits, every bit flipped
Bits reversed1101001011011000at 16 bits
Rotated left by 10011011010010110at 16 bits, wrapping
Shifted left by 111011010010110= 13,974, no wrap
Shifted right by 1110110100101= 3,493, discarding the low bit
These bits as a double3.45203667 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
6,987 to the power 248,818,169
6,987 to the power 3341,092,546,803
6,987 to the power 42,383,213,624,512,561
6,987 to the power 516,651,513,594,469,263,707
First ten multiples6,987, 13,974, 20,961, 27,948, 34,935, 41,922, 48,909, 55,896, 62,883, 69,870
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 3
Divisible by 5No, remainder 2
Divisible by 6No, remainder 3
Divisible by 7No, remainder 1
Divisible by 8No, remainder 3
Divisible by 9No, remainder 3
Divisible by 10No, remainder 7
Divisible by 11No, remainder 2
Divisible by 12No, remainder 3
Divisible by 100No, remainder 87
Collatz (3n + 1) trajectory
Steps to reach 1150the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps6,987 → 20,962 → 10,481 → 31,444 → 15,722 → 7,861 → 23,584 → 11,792 → 5,896 → 2,948 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage698,700%
6,987% as a decimal69.87
6,987% of 1006,987
6,987% of 1,00069,870
As a fraction of 1006,987/100
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Derived from 6,987
Also reads as
6987 (year)
- Common year
- 365 days
- 70th century
- Pig
6987 will be a common year of 365 days. It begins on a Monday and ends on a Monday. Easter Sunday falls on 8 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Monday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays53one of the extras
Tuesdays52
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th2 of them13 April, 13 July
ISO weeks52an ordinary 52-week year
Same calendar as6981the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in6998, 7010, 702111 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 6987
January31 days, starts Monday
February28 days, starts Thursday
September30 days, starts Saturday
October31 days, starts Monday
November30 days, starts Thursday
December31 days, starts Saturday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start158,321,260,800
Unix timestamp at the end158,352,796,799
Years from now4,961 years from now
Days from today1,811,708 days to 1 January
The number 6987
As a number6,987
In wordssix thousand, nine hundred and eighty-seven
Roman numeralsNot defined above 3,999
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Also reads as
#669988 (colour)
- #669988
- Cyan
- Dark
- Nearest: Cadetblue
#669988 is a cyan with RGB values 102, 153, 136 and HSL 160°, 20%, 50%. It is a dark colour, so black text on it reaches 6.5:1 contrast (AA for normal text). The nearest named colour is Cadetblue.
Colour values
#669988#669988
HEX#669988
HEX (short)#698
RGBrgb(102, 153, 136)
RGB (0–1)0.4, 0.6, 0.5333
RGB percentages40%, 60%, 53.3%
HSLhsl(160, 20%, 50%)
HSV / HSBhsv(160, 33.3%, 60%)
CMYK33.3%, 0%, 11.1%, 40%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer6,723,976
CSS custom property--colour: #669988;
Brightness & contrast
Relative luminance0.27385WCAG 2.x, 0 is black and 1 is white
Perceived brightness137.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundBlackcontrast 6.48:1
Contrast with white3.24:1WCAG normal text: Fail
Contrast with black6.48:1WCAG normal text: AA
Greyscale equivalent#8D8D8D
Inverted#996677
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text3.24:1WCAG large text: AA
Contrast with black, large text6.48:1WCAG large text: AAA
Named colours
Hue familycyan
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#996677
Analogous#66996F, #669199
Triadic#886699, #998866
Split complementary#996691, #996F66
Tetradic#6F6699, #996677, #919966
Tints, shades & saturation
Channel breakdown
R102
G153
B136
Red102 (40%)
Green153 (60%)
Blue136 (53.3%)
Hue160°
Saturation (HSL)20%
Lightness50%
Dominant channelGreen
Hex per channelR 66 · G 99 · B 88
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