Recognised as Number
3,372
- Positive
- Even
- Composite
- 4 digits
3,372 is an even 4-digit integer and a composite number. It has 12 divisors and a digital root of 6.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value3,372
Digit count4
Digit sum15
Digit product126
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 3 × 281
Distinct prime factors32, 3, 281
Number of divisors12
Sum of divisors σ(n)7,896
Aliquot sum4,524sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)1,120integers below n that share no factor with it
Carmichael function λ(n)280the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 1,120
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 12, 281, 562, 843, 1,124, 1,686, 3,37212 in total
Arithmetic
Previous number3,371
Next number3,373
Double6,744
Half1,686
Square11,370,384
Cube38,340,934,848
Square root58.068924564≈irrational, shown to 9 decimal places
Cube root14.995554238≈
Negation-3,372
Reciprocal0.0002965599≈
Representations
Decimal3,372
Binary11010010110012 bits
Octal6454
HexadecimalD2C
Base 362LO
Roman numeralMMMCCCLXXII
In wordsthree thousand, three hundred and seventy-two
Ordinalthree thousand, three hundred and seventy-second
Scientific notation3.372 × 10^3
Engineering notation3.372 × 10^3
In other bases
Ternary11121220base 3; the most digit-efficient integer base after e: 8 digits
Quinary101442base 5; one hand: 6 digits
Septenary12555base 7: 5 digits
Nonary4556base 9; each digit is two ternary digits: 4 digits
Duodecimal1b50base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal88cbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal56:12base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TTT0T0T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1110101111100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000110100101100
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 22 trailing zeros
Power of twoNo
Bytes20d 2c
Gray code101110111010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000110100101100
32-bit00000000000000000000110100101100
64-bit0000000000000000000000000000000000000000000000000000110100101100
One's complement1111001011010011at 16 bits, every bit flipped
Bits reversed0011010010110000at 16 bits
Rotated left by 10001101001011000at 16 bits, wrapping
Shifted left by 11101001011000= 6,744, no wrap
Shifted right by 111010010110= 1,686, discarding the low bit
These bits as a double1.66598936 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
3,372 to the power 211,370,384
3,372 to the power 338,340,934,848
3,372 to the power 4129,285,632,307,456
3,372 to the power 5435,951,152,140,741,632
First ten multiples3,372, 6,744, 10,116, 13,488, 16,860, 20,232, 23,604, 26,976, 30,348, 33,720
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 2
Divisible by 6Yes
Divisible by 7No, remainder 5
Divisible by 8No, remainder 4
Divisible by 9No, remainder 6
Divisible by 10No, remainder 2
Divisible by 11No, remainder 6
Divisible by 12Yes
Divisible by 100No, remainder 72
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 steps3,372 → 1,686 → 843 → 2,530 → 1,265 → 3,796 → 1,898 → 949 → 2,848 → 1,424 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage337,200%
3,372% as a decimal33.72
3,372% of 1003,372
3,372% of 1,00033,720
As a fraction of 1003,372/100
Read another way
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Derived from 3,372
Also reads as
3372 (year)
- Leap year
- 366 days
- 34th century
- Monkey
- 53 ISO weeks
3372 will be a leap year of 366 days. It begins on a Wednesday and ends on a Thursday. Easter Sunday falls on 12 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Wednesday and Thursday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays53one of the extras
Thursdays53one of the extras
Fridays52
Saturdays52
Friday the 13th2 of them13 March, 13 November
ISO weeks53a long year: 1 January is a Thursday, or a Wednesday in a leap year, so a week 53 exists
Same calendar as3344the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in3412, 3440, 346840 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 3372
January31 days, starts Wednesday
February29 days, starts Saturday
August31 days, starts Saturday
September30 days, starts Tuesday
October31 days, starts Thursday
November30 days, starts Sunday
December31 days, starts Tuesday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start44,242,848,000
Unix timestamp at the end44,274,470,399
Years from now1,346 years from now
Days from today491,352 days to 1 January
The number 3372
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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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