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Number

3,998

  • Positive
  • Even
  • Composite
  • 4 digits

3,998 is an even 4-digit integer and a composite number. It has 4 divisors and a digital root of 2.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value3,998
Digit count4
Digit sum29
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 1,999
Distinct prime factors22, 1,999
Number of divisors4
Sum of divisors σ(n)6,000
Aliquot sum2,002sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)1,998integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 2, 1,999, 3,9984 in total

Arithmetic

Previous number3,997
Next number3,999
Double7,996
Half1,999
Square root63.229739838irrational, shown to 9 decimal places
Cube root15.87136441
Negation-3,998
Reciprocal0.0002501251

Representations

Decimal3,998
Binary11111001111012 bits
Octal7636
HexadecimalF9E
Base 36332
Roman numeralMMMCMXCVIII
In wordsthree thousand, nine hundred and ninety-eight
Ordinalthree thousand, nine hundred and ninety-eighth
Scientific notation3.998 × 10^3
Engineering notation3.998 × 10^3

Nearest landmarks

Next prime4,001+3
Previous prime3,989−9
Distance to nearest prime3
Nearest square below3,969
Nearest square above4,096

Powers & multiples

3,998 to the power 215,984,004
3,998 to the power 363,904,047,992
3,998 to the power 4255,488,383,872,016
3,998 to the power 51,021,442,558,720,319,968
First ten multiples3,998, 7,996, 11,994, 15,992, 19,990, 23,988, 27,986, 31,984, 35,982, 39,980
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)

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 1
Divisible by 8No, remainder 6
Divisible by 9No, remainder 2
Divisible by 10No, remainder 8
Divisible by 11No, remainder 5
Divisible by 12No, remainder 2
Divisible by 100No, remainder 98

Collatz (3n + 1) trajectory

Steps to reach 151the total stopping time
Highest value reached20,2485× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps3,998 → 1,999 → 5,998 → 2,999 → 8,998 → 4,499 → 13,498 → 6,749 → 20,248 → 10,124 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage399,800%
3,998% as a decimal39.98
3,998% of 1003,998
3,998% of 1,00039,980
As a fraction of 1003,998/100

Read another way

As bytes3.904 KiB
As a 24-bit colour#000F9E

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Also reads as

3998 (year)

  • Common year
  • 365 days
  • 40th century
  • Dog

3998 will be a common year of 365 days. It begins on a Thursday and ends on a Thursday. Easter Sunday falls on 29 March.

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Structure of the year

Leap yearNonot divisible by 4
Days in the year365
Weeks in the year53ISO 8601 weeks; 28 December is always in the final week
Days in February28
1 January fell on aThursday
31 December fell on aThursday
Century40th century
Decade3990s
Chinese zodiacDog
Easter Sunday29 March

Months of 3998

Time references

These values depend on today’s date and change daily.

Unix timestamp at the start63,997,516,800
Unix timestamp at the end64,029,052,799
Years from now1,972 years from now
Days from today720,007 days to 1 January

The number 3998

As a number3,998
In wordsthree thousand, nine hundred and ninety-eight
Roman numeralsMMMCMXCVIII

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Also reads as

#339999 (colour)

  • #339999
  • Cyan
  • Dark
  • Nearest: Dark cyan

#339999 is a cyan with RGB values 51, 153, 153 and HSL 180°, 50%, 40%. It is a dark colour, so black text on it reaches 6.2:1 contrast (AA for normal text). The nearest named colour is Dark cyan.

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Colour values

#339999#339999
HEX#339999
HEX (short)#399
RGBrgb(51, 153, 153)
RGB (0–1)0.2, 0.6, 0.6
RGB percentages20%, 60%, 60%
HSLhsl(180, 50%, 40%)
HSV / HSBhsv(180, 66.7%, 60%)
CMYK66.7%, 0%, 0%, 40%naive device-independent conversion; real print needs an ICC profile
24-bit integer3,381,657
CSS custom property--colour: #339999;

Brightness & contrast

Relative luminance0.25786WCAG 2.x, 0 is black and 1 is white
Perceived brightness131.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundBlackcontrast 6.16:1
Contrast with white3.41:1WCAG normal text: Fail
Contrast with black6.16:1WCAG normal text: AA
Greyscale equivalent#838383
Inverted#CC6666

Colour vision & accessibility

Protanopia#8F9299no red cones; affects about 1% of men; ΔE 29.2 from the original
Deuteranopia#7F869Ano green cones; the most common form, about 1% of men; ΔE 30.5 from the original
Tritanopia#009E99no blue cones; rare, and affects men and women equally; ΔE 6.9 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text3.41:1WCAG large text: AA
Contrast with black, large text6.16:1WCAG large text: AAA

Named colours

Nearest named CSS colourDark cyan (#008B8B)ΔE 6.04, clearly different but related
Hue familycyan
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#993333
Analogous#339966, #336699
Triadic#993399, #999933
Split complementary#993366, #996633
Tetradic#663399, #993333, #669933

Tints, shades & saturation

Lighter +40%#B3E6E6
Lighter +30%#8CD9D9
Lighter +20%#66CCCC
Lighter +10%#40BFBF
Darker −10%#267373
Darker −20%#1A4D4D
Darker −30%#0D2626
Darker −40%#000000
More saturated +25%#19B3B3
Less saturated −25%#4D8080

Channel breakdown

R51
G153
B153
Red51 (20%)
Green153 (60%)
Blue153 (60%)
Hue180°
Saturation (HSL)50%
Lightness40%
Dominant channelGreen and Blue
Hex per channelR 33 · G 99 · B 99

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Every value on this page was computed from “3998” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.