Recognised as Number
5,988
- Positive
- Even
- Composite
- 4 digits
5,988 is an even 4-digit integer and a composite number. It has 12 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value5,988
Digit count4
Digit sum30
Digit product2,880
Multiplicative persistence2times 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 factorisation2^2 × 3 × 499
Distinct prime factors32, 3, 499
Number of divisors12
Sum of divisors σ(n)14,000
Aliquot sum8,012sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)1,992integers below n that share no factor with it
Carmichael function λ(n)498the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 1,992
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 12, 499, 998, 1,497, 1,996, 2,994, 5,98812 in total
Arithmetic
Previous number5,987
Next number5,989
Double11,976
Half2,994
Square35,856,144
Cube214,706,590,272
Square root77.382168489≈irrational, shown to 9 decimal places
Cube root18.159083706≈
Negation-5,988
Reciprocal0.0001670007≈
Representations
Decimal5,988
Binary101110110010013 bits
Octal13544
Hexadecimal1764
Base 364MC
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfive thousand, nine hundred and eighty-eight
Ordinalfive thousand, nine hundred and eighty-eighth
Scientific notation5.988 × 10^3
Engineering notation5.988 × 10^3
In other bases
Ternary22012210base 3; the most digit-efficient integer base after e: 8 digits
Quinary142423base 5; one hand: 6 digits
Septenary23313base 7: 5 digits
Nonary8183base 9; each digit is two ternary digits: 4 digits
Duodecimal3570base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimalej8base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:39:48base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary10T1T0T10digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110100010100100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001011101100100
Bit length13 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits6within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 12worth 4,096
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes217 64
Gray code1110011010110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001011101100100
32-bit00000000000000000001011101100100
64-bit0000000000000000000000000000000000000000000000000001011101100100
One's complement1110100010011011at 16 bits, every bit flipped
Bits reversed0010011011101000at 16 bits
Rotated left by 10010111011001000at 16 bits, wrapping
Shifted left by 110111011001000= 11,976, no wrap
Shifted right by 1101110110010= 2,994, discarding the low bit
These bits as a double2.95846509 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
5,988 to the power 235,856,144
5,988 to the power 3214,706,590,272
5,988 to the power 41,285,663,062,548,736
5,988 to the power 57,698,550,418,541,831,168
First ten multiples5,988, 11,976, 17,964, 23,952, 29,940, 35,928, 41,916, 47,904, 53,892, 59,880
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6Yes
Divisible by 7No, remainder 3
Divisible by 8No, remainder 4
Divisible by 9No, remainder 3
Divisible by 10No, remainder 8
Divisible by 11No, remainder 4
Divisible by 12Yes
Divisible by 100No, remainder 88
Collatz (3n + 1) trajectory
Steps to reach 149the total stopping time
Highest value reached5,988
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps5,988 → 2,994 → 1,497 → 4,492 → 2,246 → 1,123 → 3,370 → 1,685 → 5,056 → 2,528 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage598,800%
5,988% as a decimal59.88
5,988% of 1005,988
5,988% of 1,00059,880
As a fraction of 1005,988/100
Read another way
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Derived from 5,988
Also reads as
5988 (year)
- Leap year
- 366 days
- 60th century
- Monkey
5988 will be a leap year of 366 days. It begins on a Friday and ends on a Saturday. Easter Sunday falls 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 as5960the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in6016, 6044, 607228 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 5988
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 start126,795,801,600
Unix timestamp at the end126,827,423,999
Years from now3,962 years from now
Days from today1,446,828 days to 1 January
The number 5988
As a number5,988
In wordsfive thousand, nine hundred and eighty-eight
Roman numeralsNot defined above 3,999
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Also reads as
#559988 (colour)
- #559988
- Cyan
- Dark
- Nearest: Cadetblue
#559988 is a cyan with RGB values 85, 153, 136 and HSL 165°, 29%, 47%. It is a dark colour, so black text on it reaches 6.3:1 contrast (AA for normal text). The nearest named colour is Cadetblue.
Colour values
#559988#559988
HEX#559988
HEX (short)#598
RGBrgb(85, 153, 136)
RGB (0–1)0.3333, 0.6, 0.5333
RGB percentages33.3%, 60%, 53.3%
HSLhsl(165, 28.6%, 46.7%)
HSV / HSBhsv(165, 44.4%, 60%)
CMYK44.4%, 0%, 11.1%, 40%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer5,609,864
CSS custom property--colour: #559988;
Brightness & contrast
Relative luminance0.26491WCAG 2.x, 0 is black and 1 is white
Perceived brightness134.2 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundBlackcontrast 6.3:1
Contrast with white3.33:1WCAG normal text: Fail
Contrast with black6.3:1WCAG normal text: AA
Greyscale equivalent#898989
Inverted#AA6677
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text3.33:1WCAG large text: AA
Contrast with black, large text6.3:1WCAG large text: AAA
Named colours
Hue familycyan
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#995566
Analogous#559966, #558899
Triadic#885599, #998855
Split complementary#995588, #996655
Tetradic#665599, #995566, #889955
Tints, shades & saturation
Channel breakdown
R85
G153
B136
Red85 (33.3%)
Green153 (60%)
Blue136 (53.3%)
Hue165°
Saturation (HSL)28.57%
Lightness46.67%
Dominant channelGreen
Hex per channelR 55 · G 99 · B 88
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