Recognised as Number
3,355
- Positive
- Odd
- Composite
- 4 digits
3,355 is an odd 4-digit integer and a composite number. It has 8 divisors and a digital root of 7.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value3,355
Digit count4
Digit sum16
Digit product225
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation5 × 11 × 61
Distinct prime factors35, 11, 61
Number of divisors8
Sum of divisors σ(n)4,464
Aliquot sum1,109sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)2,400integers below n that share no factor with it
Carmichael function λ(n)60the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 2,400
Möbius function μ(n)−13 distinct prime factors, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 5, 11, 55, 61, 305, 671, 3,3558 in total
Arithmetic
Previous number3,354
Next number3,356
Double6,710
Half1,677.5
Square11,256,025
Cube37,763,963,875
Square root57.92236183≈irrational, shown to 9 decimal places
Cube root14.970311649≈
Negation-3,355
Reciprocal0.0002980626≈
Representations
Decimal3,355
Binary11010001101112 bits
Octal6433
HexadecimalD1B
Base 362L7
Roman numeralMMMCCCLV
In wordsthree thousand, three hundred and fifty-five
Ordinalthree thousand, three hundred and fifty-fifth
Scientific notation3.355 × 10^3
Engineering notation3.355 × 10^3
In other bases
Ternary11121021base 3; the most digit-efficient integer base after e — 8 digits
Quinary101410base 5; one hand — 6 digits
Septenary12532base 7 — 5 digits
Nonary4537base 9; each digit is two ternary digits — 4 digits
Duodecimal1b37base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves — 4 digits
Vigesimal87fbase 20; hands and feet, and the Mayan and Yoruba systems — 3 digits
Sexagesimal55:55base 60; Babylonian, and still how an hour and a circle are divided — 2 digits
Balanced ternary1TTTT11T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1110101101111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000110100011011
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 odd
Highest set bitbit 11worth 2,048
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes20d 1b
Gray code101110010110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000110100011011
32-bit00000000000000000000110100011011
64-bit0000000000000000000000000000000000000000000000000000110100011011
One's complement1111001011100100at 16 bits, every bit flipped
Bits reversed1101100010110000at 16 bits
Rotated left by 10001101000110110at 16 bits, wrapping
Shifted left by 11101000110110= 6,710, no wrap
Shifted right by 111010001101= 1,677, discarding the low bit
These bits as a double1.65759024 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
3,355 to the power 211,256,025
3,355 to the power 337,763,963,875
3,355 to the power 4126,698,098,800,625
3,355 to the power 5425,072,121,476,096,875
First ten multiples3,355, 6,710, 10,065, 13,420, 16,775, 20,130, 23,485, 26,840, 30,195, 33,550
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 3
Divisible by 5Yes
Divisible by 6No, remainder 1
Divisible by 7No, remainder 2
Divisible by 8No, remainder 3
Divisible by 9No, remainder 7
Divisible by 10No, remainder 5
Divisible by 11Yes
Divisible by 12No, remainder 7
Divisible by 100No, remainder 55
Collatz (3n + 1) trajectory
Steps to reach 192the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps3,355 → 10,066 → 5,033 → 15,100 → 7,550 → 3,775 → 11,326 → 5,663 → 16,990 → 8,495 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage335,500%
3,355% as a decimal33.55
3,355% of 1003,355
3,355% of 1,00033,550
As a fraction of 1003,355/100
Read another way
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Derived from 3,355
Also reads as
3355 (year)
- Common year
- 365 days
- 34th century
- Rabbit
3355 will be a common year of 365 days. It begins on a Wednesday 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 Wednesday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays53one of the extras
Thursdays52
Fridays52
Saturdays52
Friday the 13th1 of them13 June
ISO weeks52an ordinary 52-week year
Same calendar as3349the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in3366, 3377, 338311 years later, then again after that — the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 3355
January31 days, starts Wednesday
February28 days, starts Saturday
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 start43,706,390,400
Unix timestamp at the end43,737,926,399
Years from now1,329 years from now
Days from today485,153 days to 1 January
The number 3355
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Also reads as
#333355 (colour)
- #333355
- Blue
- Dark
- Nearest: Dark slateblue
#333355 is a blue with RGB values 51, 51, 85 and HSL 240°, 25%, 27%. It is a dark colour, so white text on it reaches 12:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.
Colour values
#333355#333355
HEX#333355
HEX (short)#335
RGBrgb(51, 51, 85)
RGB (0–1)0.2, 0.2, 0.3333
RGB percentages20%, 20%, 33.3%
HSLhsl(240, 25%, 26.7%)
HSV / HSBhsv(240, 40%, 33.3%)
CMYK40%, 40%, 0%, 66.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer3,355,477
CSS custom property--colour: #333355;
Brightness & contrast
Relative luminance0.03727WCAG 2.x, 0 is black and 1 is white
Perceived brightness55.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 12.03:1
Contrast with white12.03:1WCAG normal text: AAA
Contrast with black1.75:1WCAG normal text: Fail
Greyscale equivalent#353535
Inverted#CCCCAA
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text12.03:1WCAG large text: AAA
Contrast with black, large text1.75:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#555533
Analogous#334455, #443355
Triadic#553333, #335533
Split complementary#554433, #445533
Tetradic#553344, #555533, #335544
Tints, shades & saturation
Channel breakdown
R51
G51
B85
Red51 (20%)
Green51 (20%)
Blue85 (33.3%)
Hue240°
Saturation (HSL)25%
Lightness26.67%
Dominant channelBlue
Hex per channelR 33 · G 33 · B 55
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Harmonies
Similar named colours
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