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Number

3,221

  • Positive
  • Odd
  • Prime
  • 4 digits

3,221 is an odd 4-digit integer and a prime number. It has 2 divisors and a digital root of 8.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value3,221
Digit count4
Digit sum8
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation3,221
Distinct prime factors13,221
Number of divisors2
Sum of divisors σ(n)3,222
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)3,220integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 3,2212 in total

Arithmetic

Previous number3,220
Next number3,222
Double6,442
Square root56.753854495irrational, shown to 9 decimal places
Cube root14.768291011
Negation-3,221
Reciprocal0.0003104626

Representations

Decimal3,221
Binary11001001010112 bits
Octal6225
HexadecimalC95
Base 362HH
Roman numeralMMMCCXXI
In wordsthree thousand, two hundred and twenty-one
Ordinalthree thousand, two hundred and twenty-first
Scientific notation3.221 × 10^3
Engineering notation3.221 × 10^3

Nearest landmarks

Next prime3,229+8
Previous prime3,217−4
Distance to nearest prime0, it is prime
Nearest square below3,136
Nearest square above3,249

Powers & multiples

3,221 to the power 210,374,841
3,221 to the power 333,417,362,861
3,221 to the power 4107,637,325,775,281
3,221 to the power 5346,699,826,322,180,101
First ten multiples3,221, 6,442, 9,663, 12,884, 16,105, 19,326, 22,547, 25,768, 28,989, 32,210
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)

Divisibility tests

Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 5
Divisible by 7No, remainder 1
Divisible by 8No, remainder 5
Divisible by 9No, remainder 8
Divisible by 10No, remainder 1
Divisible by 11No, remainder 9
Divisible by 12No, remainder 5
Divisible by 100No, remainder 21

Collatz (3n + 1) trajectory

Steps to reach 122the total stopping time
Highest value reached9,6643× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps3,221 → 9,664 → 4,832 → 2,416 → 1,208 → 604 → 302 → 151 → 454 → 227 → …
Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage322,100%
3,221% as a decimal32.21
3,221% of 1003,221
3,221% of 1,00032,210
As a fraction of 1003,221/100

Read another way

As bytes3.146 KiB
As a 24-bit colour#000C95

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Also reads as

3221 (year)

  • Common year
  • 365 days
  • 33rd century
  • Ox

3221 will be a common year of 365 days. It begins on a Friday and ends on a Friday. Easter Sunday falls on 4 April.

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Structure of the year

Leap yearNonot divisible by 4
Days in the year365
Weeks in the year52ISO 8601 weeks; 28 December is always in the final week
Days in February28
1 January fell on aFriday
31 December fell on aFriday
Century33rd century
Decade3220s
Chinese zodiacOx
Easter Sunday4 April

Months of 3221

Time references

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

Unix timestamp at the start39,477,801,600
Unix timestamp at the end39,509,337,599
Years from now1,195 years from now
Days from today436,213 days to 1 January

The number 3221

As a number3,221
In wordsthree thousand, two hundred and twenty-one
Roman numeralsMMMCCXXI

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Also reads as

#332222 (colour)

  • #332222
  • Red
  • Dark
  • Nearest: Black

#332222 is a red with RGB values 51, 34, 34 and HSL 0°, 20%, 17%. It is a dark colour, so white text on it reaches 15.1:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#332222#332222
HEX#332222
HEX (short)#322
RGBrgb(51, 34, 34)
RGB (0–1)0.2, 0.1333, 0.1333
RGB percentages20%, 13.3%, 13.3%
HSLhsl(0, 20%, 16.7%)
HSV / HSBhsv(0, 33.3%, 20%)
CMYK0%, 33.3%, 33.3%, 80%naive device-independent conversion; real print needs an ICC profile
24-bit integer3,351,074
CSS custom property--colour: #332222;

Brightness & contrast

Relative luminance0.01963WCAG 2.x, 0 is black and 1 is white
Perceived brightness39.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 15.08:1
Contrast with white15.08:1WCAG normal text: AAA
Contrast with black1.39:1WCAG normal text: Fail
Greyscale equivalent#262626
Inverted#CCDDDD

Colour vision & accessibility

Protanopia#252422no red cones; affects about 1% of men; ΔE 8.4 from the original
Deuteranopia#292822no green cones; the most common form, about 1% of men; ΔE 9.1 from the original
Tritanopia#362022no blue cones; rare, and affects men and women equally; ΔE 2.8 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text15.08:1WCAG large text: AAA
Contrast with black, large text1.39:1WCAG large text: Fail

Named colours

Nearest named CSS colourBlack (#000000)ΔE 17.64, a distinctly different colour
Hue familyred
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#223333
Analogous#33222B, #332B22
Triadic#223322, #222233
Split complementary#22332B, #222B33
Tetradic#2B3322, #223333, #2B2233

Tints, shades & saturation

Lighter +40%#A77A7A
Lighter +30%#8F5F5F
Lighter +20%#704B4B
Lighter +10%#523636
Darker −10%#140E0E
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#3E1717
Less saturated −25%#2B2B2B

Channel breakdown

R51
G34
B34
Red51 (20%)
Green34 (13.3%)
Blue34 (13.3%)
Hue
Saturation (HSL)20%
Lightness16.67%
Dominant channelRed
Hex per channelR 33 · G 22 · B 22

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Every value on this page was computed from “3221” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.