Recognised as Number
3,370
- Positive
- Even
- Composite
- 4 digits
3,370 is an even 4-digit integer and a composite number. It has 8 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value3,370
Digit count4
Digit sum13
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times 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 numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2 × 5 × 337
Distinct prime factors32, 5, 337
Number of divisors8
Sum of divisors σ(n)6,084
Aliquot sum2,714sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)1,344integers below n that share no factor with it
Carmichael function λ(n)336the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 1,344
Möbius function μ(n)−13 distinct prime factors, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 2, 5, 10, 337, 674, 1,685, 3,3708 in total
Arithmetic
Previous number3,369
Next number3,371
Double6,740
Half1,685
Square11,356,900
Cube38,272,753,000
Square root58.051701095≈irrational, shown to 9 decimal places
Cube root14.992588932≈
Negation-3,370
Reciprocal0.0002967359≈
Representations
Decimal3,370
Binary11010010101012 bits
Octal6452
HexadecimalD2A
Base 362LM
Roman numeralMMMCCCLXX
In wordsthree thousand, three hundred and seventy
Ordinalthree thousand, three hundred and seventieth
Scientific notation3.37 × 10^3
Engineering notation3.37 × 10^3
In other bases
Ternary11121211base 3; the most digit-efficient integer base after e: 8 digits
Quinary101440base 5; one hand: 6 digits
Septenary12553base 7: 5 digits
Nonary4554base 9; each digit is two ternary digits: 4 digits
Duodecimal1b4abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal88abase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal56:10base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TTT0TT11digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1110101111110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000110100101010
Bit length12 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits6within that length
Bit parityeven6 set bits, so even; not the same as the number itself being even
Highest set bitbit 11worth 2,048
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes20d 2a
Gray code101110111111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000110100101010
32-bit00000000000000000000110100101010
64-bit0000000000000000000000000000000000000000000000000000110100101010
One's complement1111001011010101at 16 bits, every bit flipped
Bits reversed0101010010110000at 16 bits
Rotated left by 10001101001010100at 16 bits, wrapping
Shifted left by 11101001010100= 6,740, no wrap
Shifted right by 111010010101= 1,685, discarding the low bit
These bits as a double1.66500123 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
3,370 to the power 211,356,900
3,370 to the power 338,272,753,000
3,370 to the power 4128,979,177,610,000
3,370 to the power 5434,659,828,545,700,000
First ten multiples3,370, 6,740, 10,110, 13,480, 16,850, 20,220, 23,590, 26,960, 30,330, 33,700
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4No, remainder 2
Divisible by 5Yes
Divisible by 6No, remainder 4
Divisible by 7No, remainder 3
Divisible by 8No, remainder 2
Divisible by 9No, remainder 4
Divisible by 10Yes
Divisible by 11No, remainder 4
Divisible by 12No, remainder 10
Divisible by 100No, remainder 70
Collatz (3n + 1) trajectory
Steps to reach 143the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps3,370 → 1,685 → 5,056 → 2,528 → 1,264 → 632 → 316 → 158 → 79 → 238 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage337,000%
3,370% as a decimal33.7
3,370% of 1003,370
3,370% of 1,00033,700
As a fraction of 1003,370/100
Read another way
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Derived from 3,370
Also reads as
3370 (year)
- Common year
- 365 days
- 34th century
- Horse
3370 will be a common year of 365 days. It begins on a Monday and ends on a Monday. Easter Sunday falls on 8 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Monday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays53one of the extras
Tuesdays52
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th2 of them13 April, 13 July
ISO weeks52an ordinary 52-week year
Same calendar as3359the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in3381, 3387, 339811 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 3370
January31 days, starts Monday
February28 days, starts Thursday
September30 days, starts Saturday
October31 days, starts Monday
November30 days, starts Thursday
December31 days, starts Saturday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start44,179,776,000
Unix timestamp at the end44,211,311,999
Years from now1,344 years from now
Days from today490,631 days to 1 January
The number 3370
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Also reads as
#333377 (colour)
- #333377
- Blue
- Dark
- Nearest: Dark slateblue
#333377 is a blue with RGB values 51, 51, 119 and HSL 240°, 40%, 33%. It is a dark colour, so white text on it reaches 11.2:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.
Colour values
#333377#333377
HEX#333377
HEX (short)#337
RGBrgb(51, 51, 119)
RGB (0–1)0.2, 0.2, 0.4667
RGB percentages20%, 20%, 46.7%
HSLhsl(240, 40%, 33.3%)
HSV / HSBhsv(240, 57.1%, 46.7%)
CMYK57.1%, 57.1%, 0%, 53.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer3,355,511
CSS custom property--colour: #333377;
Brightness & contrast
Relative luminance0.04403WCAG 2.x, 0 is black and 1 is white
Perceived brightness62.6 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 11.17:1
Contrast with white11.17:1WCAG normal text: AAA
Contrast with black1.88:1WCAG normal text: Fail
Greyscale equivalent#383838
Inverted#CCCC88
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text11.17:1WCAG large text: AAA
Contrast with black, large text1.88:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#777733
Analogous#335577, #553377
Triadic#773333, #337733
Split complementary#775533, #557733
Tetradic#773355, #777733, #337755
Tints, shades & saturation
Channel breakdown
R51
G51
B119
Red51 (20%)
Green51 (20%)
Blue119 (46.7%)
Hue240°
Saturation (HSL)40%
Lightness33.33%
Dominant channelBlue
Hex per channelR 33 · G 33 · B 77
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Harmonies
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