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Number

3,980

  • Positive
  • Even
  • Composite
  • 4 digits

3,980 is an even 4-digit integer and a composite number. It has 12 divisors and a digital root of 2.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value3,980
Digit count4
Digit sum20
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 5 × 199
Distinct prime factors32, 5, 199
Number of divisors12
Sum of divisors σ(n)8,400
Aliquot sum4,420sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)1,584integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1,990, 3,98012 in total

Arithmetic

Previous number3,979
Next number3,981
Double7,960
Half1,990
Square15,840,400
Cube63,044,792,000
Square root63.087241182≈irrational, shown to 9 decimal places
Cube root15.847509618≈
Negation-3,980
Reciprocal0.0002512563≈

Representations

Decimal3,980
Binary11111000110012 bits
Octal7614
HexadecimalF8C
Base 3632K
Roman numeralMMMCMLXXX
In wordsthree thousand, nine hundred and eighty
Ordinalthree thousand, nine hundred and eightieth
Scientific notation3.98 × 10^3
Engineering notation3.98 × 10^3

Nearest landmarks

Next prime3,989+9
Previous prime3,967−13
Distance to nearest prime9
Nearest square below3,969
Nearest square above4,096

Powers & multiples

3,980 to the power 215,840,400
3,980 to the power 363,044,792,000
3,980 to the power 4250,918,272,160,000
3,980 to the power 5998,654,723,196,800,000
First ten multiples3,980, 7,960, 11,940, 15,920, 19,900, 23,880, 27,860, 31,840, 35,820, 39,800
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)

Divisibility tests

Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 2
Divisible by 7No, remainder 4
Divisible by 8No, remainder 4
Divisible by 9No, remainder 2
Divisible by 10Yes
Divisible by 11No, remainder 9
Divisible by 12No, remainder 8
Divisible by 100No, remainder 80

Collatz (3n + 1) trajectory

Steps to reach 125the total stopping time
Highest value reached4,4801× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps3,980 → 1,990 → 995 → 2,986 → 1,493 → 4,480 → 2,240 → 1,120 → 560 → 280 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage398,000%
3,980% as a decimal39.8
3,980% of 1003,980
3,980% of 1,00039,800
As a fraction of 1003,980/100

Read another way

As seconds1 hour, 6 minutes and 20 seconds
As bytes3.887 KiB
As a 24-bit colour#000F8C

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Neighbouring numbers

Nearby primes

Also reads as

3980 (year)

  • Leap year
  • 366 days
  • 40th century
  • Dragon

3980 will be a leap year of 366 days. It begins on a Tuesday and ends on a Wednesday. Easter Sunday falls on 20 April.

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Structure of the year

Leap yearYesdivisible by 4, and by 400 if divisible by 100
Days in the year366
Weeks in the year52ISO 8601 weeks; 28 December is always in the final week
Days in February29
1 January fell on aTuesday
31 December fell on aWednesday
Century40th century
Decade3980s
Chinese zodiacDragon
Easter Sunday20 April

Months of 3980

January31 days, starts Tuesday
February29 days, starts Friday
March31 days, starts Saturday
April30 days, starts Tuesday
May31 days, starts Thursday
June30 days, starts Sunday
July31 days, starts Tuesday
August31 days, starts Friday
September30 days, starts Monday
October31 days, starts Wednesday
November30 days, starts Saturday
December31 days, starts Monday

Time references

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

Unix timestamp at the start63,429,436,800
Unix timestamp at the end63,461,059,199
Years from now1,954 years from now
Days from today713,431 days to 1 January

The number 3980

As a number3,980
In wordsthree thousand, nine hundred and eighty
Roman numeralsMMMCMLXXX

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Neighbouring years

Also reads as

#339988 (colour)

  • #339988
  • Cyan
  • Dark
  • Nearest: Dark cyan

#339988 is a cyan with RGB values 51, 153, 136 and HSL 170°, 50%, 40%. It is a dark colour, so black text on it reaches 6.1:1 contrast (AA for normal text). The nearest named colour is Dark cyan.

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Colour values

#339988#339988
HEX#339988
HEX (short)#398
RGBrgb(51, 153, 136)
RGB (0–1)0.2, 0.6, 0.5333
RGB percentages20%, 60%, 53.3%
HSLhsl(170, 50%, 40%)
HSV / HSBhsv(170, 66.7%, 60%)
CMYK66.7%, 0%, 11.1%, 40%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer3,381,640
CSS custom property--colour: #339988;

Brightness & contrast

Relative luminance0.25264WCAG 2.x, 0 is black and 1 is white
Perceived brightness128.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundBlackcontrast 6.05:1
Contrast with white3.47:1WCAG normal text: Fail
Contrast with black6.05:1WCAG normal text: AA
Greyscale equivalent#828282
Inverted#CC6677

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#939087no red cones; affects about 1% of men; ΔE 33.1 from the original
Deuteranopia#848589no green cones; the most common form, about 1% of men; ΔE 33.9 from the original
Tritanopia#009C94no blue cones; rare, and affects men and women equally; ΔE 6.5 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text3.47:1WCAG large text: AA
Contrast with black, large text6.05:1WCAG large text: AAA

Named colours

Dark cyan · ΔE 11Light seagreen · ΔE 11.6Teal · ΔE 13.4Cadetblue · ΔE 16.1Medium aquamarine · ΔE 20.6Sea green · ΔE 21.5
Nearest named CSS colourDark cyan (#008B8B)ΔE 11.01, a distinctly different colour
Hue familycyan
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#993344
Analogous#339955, #337799
Triadic#883399, #998833
Split complementary#993377, #995533
Tetradic#553399, #993344, #779933

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#B3E6DD
Lighter +30%#8CD9CC
Lighter +20%#66CCBB
Lighter +10%#40BFAA
Darker −10%#267366
Darker −20%#1A4D44
Darker −30%#0D2622
Darker −40%#000000
More saturated +25%#19B399
Less saturated −25%#4D8077

Channel breakdown

R51
G153
B136
Red51 (20%)
Green153 (60%)
Blue136 (53.3%)
Hue170°
Saturation (HSL)50%
Lightness40%
Dominant channelGreen
Hex per channelR 33 · G 99 · B 88

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Every value on this page was computed from “3980” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.