Recognised as Number
3,388
- Positive
- Even
- Composite
- 4 digits
3,388 is an even 4-digit integer and a composite number. It has 18 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value3,388
Digit count4
Digit sum22
Digit product576
Multiplicative persistence3times 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 numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 7 × 11^2
Distinct prime factors32, 7, 11
Number of divisors18
Sum of divisors σ(n)7,448
Aliquot sum4,060sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)1,320integers below n that share no factor with it
Carmichael function λ(n)330the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 1,320
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 121, 154, 242, 308, 484, 847, 1,694, 3,38818 in total
Arithmetic
Previous number3,387
Next number3,389
Double6,776
Half1,694
Square11,478,544
Cube38,889,307,072
Square root58.206528843≈irrational, shown to 9 decimal places
Cube root15.019234584≈
Negation-3,388
Reciprocal0.0002951594≈
Representations
Decimal3,388
Binary11010011110012 bits
Octal6474
HexadecimalD3C
Base 362M4
Roman numeralMMMCCCLXXXVIII
In wordsthree thousand, three hundred and eighty-eight
Ordinalthree thousand, three hundred and eighty-eighth
Scientific notation3.388 × 10^3
Engineering notation3.388 × 10^3
In other bases
Ternary11122111base 3; the most digit-efficient integer base after e: 8 digits
Quinary102023base 5; one hand: 6 digits
Septenary12610base 7: 5 digits
Nonary4574base 9; each digit is two ternary digits: 4 digits
Duodecimal1b64base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal898base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal56:28base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TTT0T111digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1110101001100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000110100111100
Bit length12 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits5within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 11worth 2,048
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes20d 3c
Gray code101110100010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000110100111100
32-bit00000000000000000000110100111100
64-bit0000000000000000000000000000000000000000000000000000110100111100
One's complement1111001011000011at 16 bits, every bit flipped
Bits reversed0011110010110000at 16 bits
Rotated left by 10001101001111000at 16 bits, wrapping
Shifted left by 11101001111000= 6,776, no wrap
Shifted right by 111010011110= 1,694, discarding the low bit
These bits as a double1.67389441 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
3,388 to the power 211,478,544
3,388 to the power 338,889,307,072
3,388 to the power 4131,756,972,359,936
3,388 to the power 5446,392,622,355,463,168
First ten multiples3,388, 6,776, 10,164, 13,552, 16,940, 20,328, 23,716, 27,104, 30,492, 33,880
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6No, remainder 4
Divisible by 7Yes
Divisible by 8No, remainder 4
Divisible by 9No, remainder 4
Divisible by 10No, remainder 8
Divisible by 11Yes
Divisible by 12No, remainder 4
Divisible by 100No, remainder 88
Collatz (3n + 1) trajectory
Steps to reach 135the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps3,388 → 1,694 → 847 → 2,542 → 1,271 → 3,814 → 1,907 → 5,722 → 2,861 → 8,584 → …
Last steps… → 32 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage338,800%
3,388% as a decimal33.88
3,388% of 1003,388
3,388% of 1,00033,880
As a fraction of 1003,388/100
Read another way
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Derived from 3,388
Also reads as
3388 (year)
- Leap year
- 366 days
- 34th century
- Rat
3388 will be a leap year of 366 days. It begins on a Tuesday and ends on a Wednesday. Easter Sunday falls on 20 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Tuesday and Wednesday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays53one of the extras
Wednesdays53one of the extras
Thursdays52
Fridays52
Saturdays52
Friday the 13th1 of them13 June
ISO weeks52an ordinary 52-week year
Same calendar as3360the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in3428, 3456, 348440 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 3388
January31 days, starts Tuesday
February29 days, starts Friday
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 start44,747,769,600
Unix timestamp at the end44,779,391,999
Years from now1,362 years from now
Days from today497,202 days to 1 January
The number 3388
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Also reads as
#333388 (colour)
- #333388
- Blue
- Dark
- Nearest: Dark slateblue
#333388 is a blue with RGB values 51, 51, 136 and HSL 240°, 45%, 37%. It is a dark colour, so white text on it reaches 10.7:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.
Colour values
#333388#333388
HEX#333388
HEX (short)#338
RGBrgb(51, 51, 136)
RGB (0–1)0.2, 0.2, 0.5333
RGB percentages20%, 20%, 53.3%
HSLhsl(240, 45.5%, 36.7%)
HSV / HSBhsv(240, 62.5%, 53.3%)
CMYK62.5%, 62.5%, 0%, 46.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer3,355,528
CSS custom property--colour: #333388;
Brightness & contrast
Relative luminance0.04849WCAG 2.x, 0 is black and 1 is white
Perceived brightness66.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 10.66:1
Contrast with white10.66:1WCAG normal text: AAA
Contrast with black1.97:1WCAG normal text: Fail
Greyscale equivalent#393939
Inverted#CCCC77
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text10.66:1WCAG large text: AAA
Contrast with black, large text1.97:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#888833
Analogous#335E88, #5E3388
Triadic#883333, #338833
Split complementary#885E33, #5E8833
Tetradic#88335E, #888833, #33885E
Tints, shades & saturation
Channel breakdown
R51
G51
B136
Red51 (20%)
Green51 (20%)
Blue136 (53.3%)
Hue240°
Saturation (HSL)45.45%
Lightness36.67%
Dominant channelBlue
Hex per channelR 33 · G 33 · B 88
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Harmonies
Similar named colours
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