Recognised as Number
5,998
- Positive
- Even
- Composite
- 4 digits
5,998 is an even 4-digit integer and a composite number. It has 4 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value5,998
Digit count4
Digit sum31
Digit product3,240
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2 × 2,999
Distinct prime factors22, 2,999
Number of divisors4
Sum of divisors σ(n)9,000
Aliquot sum3,002sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)2,998integers below n that share no factor with it
Carmichael function λ(n)2,998the smallest exponent with aˣ ≡ 1 for every unit coprime to n
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 2, 2,999, 5,9984 in total
Arithmetic
Previous number5,997
Next number5,999
Double11,996
Half2,999
Square35,976,004
Cube215,784,071,992
Square root77.446755904≈irrational, shown to 9 decimal places
Cube root18.169186681≈
Negation-5,998
Reciprocal0.0001667222≈
Representations
Decimal5,998
Binary101110110111013 bits
Octal13556
Hexadecimal176E
Base 364MM
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfive thousand, nine hundred and ninety-eight
Ordinalfive thousand, nine hundred and ninety-eighth
Scientific notation5.998 × 10^3
Engineering notation5.998 × 10^3
In other bases
Ternary22020011base 3; the most digit-efficient integer base after e: 8 digits
Quinary142443base 5; one hand: 6 digits
Septenary23326base 7: 5 digits
Nonary8204base 9; each digit is two ternary digits: 4 digits
Duodecimal357abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimalejibase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:39:58base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary10T1T0011digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110100010110010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001011101101110
Bit length13 bitsto write the magnitude
Set bits9the population count, or Hamming weight
Zero bits4within that length
Bit parityodd9 set bits, so odd; not the same as the number itself being even
Highest set bitbit 12worth 4,096
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes217 6e
Gray code1110011011001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001011101101110
32-bit00000000000000000001011101101110
64-bit0000000000000000000000000000000000000000000000000001011101101110
One's complement1110100010010001at 16 bits, every bit flipped
Bits reversed0111011011101000at 16 bits
Rotated left by 10010111011011100at 16 bits, wrapping
Shifted left by 110111011011100= 11,996, no wrap
Shifted right by 1101110110111= 2,999, discarding the low bit
These bits as a double2.96340574 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
5,998 to the power 235,976,004
5,998 to the power 3215,784,071,992
5,998 to the power 41,294,272,863,808,016
5,998 to the power 57,763,048,637,120,479,968
First ten multiples5,998, 11,996, 17,994, 23,992, 29,990, 35,988, 41,986, 47,984, 53,982, 59,980
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4No, remainder 2
Divisible by 5No, remainder 3
Divisible by 6No, remainder 4
Divisible by 7No, remainder 6
Divisible by 8No, remainder 6
Divisible by 9No, remainder 4
Divisible by 10No, remainder 8
Divisible by 11No, remainder 3
Divisible by 12No, remainder 10
Divisible by 100No, remainder 98
Collatz (3n + 1) trajectory
Steps to reach 149the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps5,998 → 2,999 → 8,998 → 4,499 → 13,498 → 6,749 → 20,248 → 10,124 → 5,062 → 2,531 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage599,800%
5,998% as a decimal59.98
5,998% of 1005,998
5,998% of 1,00059,980
As a fraction of 1005,998/100
Read another way
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Derived from 5,998
Also reads as
5998 (year)
- Common year
- 365 days
- 60th century
- Horse
- 53 ISO weeks
5998 will be a common year of 365 days. It begins on a Thursday and ends on a Thursday. Easter Sunday falls on 12 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Thursday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays53one of the extras
Fridays52
Saturdays52
Friday the 13th3 of them13 February, 13 March, 13 November
ISO weeks53a long year: 1 January is a Thursday, or a Wednesday in a leap year, so a week 53 exists
Same calendar as5987the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in6009, 6015, 602611 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 5998
January31 days, starts Thursday
February28 days, starts Sunday
August31 days, starts Saturday
September30 days, starts Tuesday
October31 days, starts Thursday
November30 days, starts Sunday
December31 days, starts Tuesday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start127,111,420,800
Unix timestamp at the end127,142,956,799
Years from now3,972 years from now
Days from today1,450,488 days to 1 January
The number 5998
As a number5,998
In wordsfive thousand, nine hundred and ninety-eight
Roman numeralsNot defined above 3,999
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Also reads as
#559999 (colour)
- #559999
- Cyan
- Dark
- Nearest: Cadetblue
#559999 is a cyan with RGB values 85, 153, 153 and HSL 180°, 29%, 47%. It is a dark colour, so black text on it reaches 6.4:1 contrast (AA for normal text). The nearest named colour is Cadetblue.
Colour values
#559999#559999
HEX#559999
HEX (short)#599
RGBrgb(85, 153, 153)
RGB (0–1)0.3333, 0.6, 0.6
RGB percentages33.3%, 60%, 60%
HSLhsl(180, 28.6%, 46.7%)
HSV / HSBhsv(180, 44.4%, 60%)
CMYK44.4%, 0%, 0%, 40%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer5,609,881
CSS custom property--colour: #559999;
Brightness & contrast
Relative luminance0.27014WCAG 2.x, 0 is black and 1 is white
Perceived brightness136.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundBlackcontrast 6.4:1
Contrast with white3.28:1WCAG normal text: Fail
Contrast with black6.4:1WCAG normal text: AA
Greyscale equivalent#8B8B8B
Inverted#AA6666
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text3.28:1WCAG large text: AA
Contrast with black, large text6.4:1WCAG large text: AAA
Named colours
Hue familycyan
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#995555
Analogous#559977, #557799
Triadic#995599, #999955
Split complementary#995577, #997755
Tetradic#775599, #995555, #779955
Tints, shades & saturation
Channel breakdown
R85
G153
B153
Red85 (33.3%)
Green153 (60%)
Blue153 (60%)
Hue180°
Saturation (HSL)28.57%
Lightness46.67%
Dominant channelGreen and Blue
Hex per channelR 55 · G 99 · B 99
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