Recognised as Number
6,998
- Positive
- Even
- Composite
- 4 digits
6,998 is an even 4-digit integer and a composite number. It has 4 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value6,998
Digit count4
Digit sum32
Digit product3,888
Multiplicative persistence4times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2 × 3,499
Distinct prime factors22, 3,499
Number of divisors4
Sum of divisors σ(n)10,500
Aliquot sum3,502sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)3,498integers below n that share no factor with it
Carmichael function λ(n)3,498the 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, 3,499, 6,9984 in total
Arithmetic
Previous number6,997
Next number6,999
Double13,996
Half3,499
Square48,972,004
Cube342,706,083,992
Square root83.654049513≈irrational, shown to 9 decimal places
Cube root19.127489815≈
Negation-6,998
Reciprocal0.000142898≈
Representations
Decimal6,998
Binary110110101011013 bits
Octal15526
Hexadecimal1B56
Base 365EE
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordssix thousand, nine hundred and ninety-eight
Ordinalsix thousand, nine hundred and ninety-eighth
Scientific notation6.998 × 10^3
Engineering notation6.998 × 10^3
In other bases
Ternary100121012base 3; the most digit-efficient integer base after e — 9 digits
Quinary210443base 5; one hand — 6 digits
Septenary26255base 7 — 5 digits
Nonary10535base 9; each digit is two ternary digits — 5 digits
Duodecimal4072base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves — 4 digits
Vigesimalh9ibase 20; hands and feet, and the Mayan and Yoruba systems — 3 digits
Sexagesimal1:56:38base 60; Babylonian, and still how an hour and a circle are divided — 3 digits
Balanced ternary101TT11TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110110010101010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001101101010110
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 even
Highest set bitbit 12worth 4,096
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes21b 56
Gray code1011011111101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001101101010110
32-bit00000000000000000001101101010110
64-bit0000000000000000000000000000000000000000000000000001101101010110
One's complement1110010010101001at 16 bits, every bit flipped
Bits reversed0110101011011000at 16 bits
Rotated left by 10011011010101100at 16 bits, wrapping
Shifted left by 111011010101100= 13,996, no wrap
Shifted right by 1110110101011= 3,499, discarding the low bit
These bits as a double3.45747139 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
6,998 to the power 248,972,004
6,998 to the power 3342,706,083,992
6,998 to the power 42,398,257,175,776,016
6,998 to the power 516,783,003,716,080,559,968
First ten multiples6,998, 13,996, 20,994, 27,992, 34,990, 41,988, 48,986, 55,984, 62,982, 69,980
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4No, remainder 2
Divisible by 5No, remainder 3
Divisible by 6No, remainder 2
Divisible by 7No, remainder 5
Divisible by 8No, remainder 6
Divisible by 9No, remainder 5
Divisible by 10No, remainder 8
Divisible by 11No, remainder 2
Divisible by 12No, remainder 2
Divisible by 100No, remainder 98
Collatz (3n + 1) trajectory
Steps to reach 1132the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps6,998 → 3,499 → 10,498 → 5,249 → 15,748 → 7,874 → 3,937 → 11,812 → 5,906 → 2,953 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage699,800%
6,998% as a decimal69.98
6,998% of 1006,998
6,998% of 1,00069,980
As a fraction of 1006,998/100
Read another way
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Derived from 6,998
Also reads as
6998 (year)
- Common year
- 365 days
- 70th century
- Dog
6998 will be a common year of 365 days. It begins on a Monday and ends on a Monday. Easter Sunday falls on 1 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 as6987the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in7010, 7021, 702712 years later, then again after that — the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 6998
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 start158,668,416,000
Unix timestamp at the end158,699,951,999
Years from now4,972 years from now
Days from today1,815,732 days to 1 January
The number 6998
As a number6,998
In wordssix thousand, nine hundred and ninety-eight
Roman numeralsNot defined above 3,999
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Also reads as
#669999 (colour)
- #669999
- Cyan
- Dark
- Nearest: Cadetblue
#669999 is a cyan with RGB values 102, 153, 153 and HSL 180°, 20%, 50%. It is a dark colour, so black text on it reaches 6.6:1 contrast (AA for normal text). The nearest named colour is Cadetblue.
Colour values
#669999#669999
HEX#669999
HEX (short)#699
RGBrgb(102, 153, 153)
RGB (0–1)0.4, 0.6, 0.6
RGB percentages40%, 60%, 60%
HSLhsl(180, 20%, 50%)
HSV / HSBhsv(180, 33.3%, 60%)
CMYK33.3%, 0%, 0%, 40%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer6,723,993
CSS custom property--colour: #669999;
Brightness & contrast
Relative luminance0.27907WCAG 2.x, 0 is black and 1 is white
Perceived brightness139.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundBlackcontrast 6.58:1
Contrast with white3.19:1WCAG normal text: Fail
Contrast with black6.58:1WCAG normal text: AA
Greyscale equivalent#8E8E8E
Inverted#996666
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text3.19:1WCAG large text: AA
Contrast with black, large text6.58:1WCAG large text: AAA
Named colours
Hue familycyan
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#996666
Analogous#669980, #668099
Triadic#996699, #999966
Split complementary#996680, #998066
Tetradic#806699, #996666, #809966
Tints, shades & saturation
Channel breakdown
R102
G153
B153
Red102 (40%)
Green153 (60%)
Blue153 (60%)
Hue180°
Saturation (HSL)20%
Lightness50%
Dominant channelGreen and Blue
Hex per channelR 66 · G 99 · B 99
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