Recognised as Number
3,672
- Positive
- Even
- Composite
- 4 digits
3,672 is an even 4-digit integer and a composite number. It has 32 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value3,672
Digit count4
Digit sum18
Digit product252
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^3 × 3^3 × 17
Distinct prime factors32, 3, 17
Number of divisors32
Sum of divisors σ(n)10,800
Aliquot sum7,128sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)1,152integers below n that share no factor with it
Carmichael function λ(n)144the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 1,152
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1,224, 1,836, 3,67232 in total
Arithmetic
Previous number3,671
Next number3,673
Double7,344
Half1,836
Square13,483,584
Cube49,511,720,448
Square root60.59702963≈irrational, shown to 9 decimal places
Cube root15.427689544≈
Negation-3,672
Reciprocal0.0002723312≈
Representations
Decimal3,672
Binary11100101100012 bits
Octal7130
HexadecimalE58
Base 362U0
Roman numeralMMMDCLXXII
In wordsthree thousand, six hundred and seventy-two
Ordinalthree thousand, six hundred and seventy-second
Scientific notation3.672 × 10^3
Engineering notation3.672 × 10^3
In other bases
Ternary12001000base 3; the most digit-efficient integer base after e: 8 digits
Quinary104142base 5; one hand: 6 digits
Septenary13464base 7: 5 digits
Nonary5030base 9; each digit is two ternary digits: 4 digits
Duodecimal2160base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal93cbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:1:12base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1TT001000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1001110101000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000111001011000
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 33 trailing zeros
Power of twoNo
Bytes20e 58
Gray code100101110100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000111001011000
32-bit00000000000000000000111001011000
64-bit0000000000000000000000000000000000000000000000000000111001011000
One's complement1111000110100111at 16 bits, every bit flipped
Bits reversed0001101001110000at 16 bits
Rotated left by 10001110010110000at 16 bits, wrapping
Shifted left by 11110010110000= 7,344, no wrap
Shifted right by 111100101100= 1,836, discarding the low bit
These bits as a double1.81420905 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
3,672 to the power 213,483,584
3,672 to the power 349,511,720,448
3,672 to the power 4181,807,037,485,056
3,672 to the power 5667,595,441,645,125,632
First ten multiples3,672, 7,344, 11,016, 14,688, 18,360, 22,032, 25,704, 29,376, 33,048, 36,720
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 4
Divisible by 8Yes
Divisible by 9Yes
Divisible by 10No, remainder 2
Divisible by 11No, remainder 9
Divisible by 12Yes
Divisible by 100No, remainder 72
Collatz (3n + 1) trajectory
Steps to reach 1131the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps3,672 → 1,836 → 918 → 459 → 1,378 → 689 → 2,068 → 1,034 → 517 → 1,552 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage367,200%
3,672% as a decimal36.72
3,672% of 1003,672
3,672% of 1,00036,720
As a fraction of 1003,672/100
Read another way
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Derived from 3,672
Also reads as
3672 (year)
- Leap year
- 366 days
- 37th century
- Monkey
3672 will be a leap year of 366 days. It begins on a Friday and ends on a Saturday. Easter Sunday falls on 27 March.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Friday and Saturday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays52
Fridays53one of the extras
Saturdays53one of the extras
Friday the 13th1 of them13 May
ISO weeks52an ordinary 52-week year
Same calendar as3644the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in3712, 3740, 376840 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 3672
January31 days, starts Friday
February29 days, starts Monday
August31 days, starts Monday
September30 days, starts Thursday
October31 days, starts Saturday
November30 days, starts Tuesday
December31 days, starts Thursday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start53,709,955,200
Unix timestamp at the end53,741,577,599
Years from now1,646 years from now
Days from today600,931 days to 1 January
The number 3672
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Also reads as
#336677 (colour)
- #336677
- Cyan
- Dark
- Nearest: Dark slate grey
#336677 is a cyan with RGB values 51, 102, 119 and HSL 195°, 40%, 33%. It is a dark colour, so white text on it reaches 6.3:1 contrast (AA for normal text). The nearest named colour is Dark slate grey.
Colour values
#336677#336677
HEX#336677
HEX (short)#367
RGBrgb(51, 102, 119)
RGB (0–1)0.2, 0.4, 0.4667
RGB percentages20%, 40%, 46.7%
HSLhsl(195, 40%, 33.3%)
HSV / HSBhsv(195, 57.1%, 46.7%)
CMYK57.1%, 14.3%, 0%, 53.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer3,368,567
CSS custom property--colour: #336677;
Brightness & contrast
Relative luminance0.11538WCAG 2.x, 0 is black and 1 is white
Perceived brightness92.2 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 6.35:1
Contrast with white6.35:1WCAG normal text: AA
Contrast with black3.31:1WCAG normal text: Fail
Greyscale equivalent#5C5C5C
Inverted#CC9988
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text6.35:1WCAG large text: AAA
Contrast with black, large text3.31:1WCAG large text: AA
Named colours
Hue familycyan
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#774433
Analogous#337766, #334477
Triadic#773366, #667733
Split complementary#773344, #776633
Tetradic#663377, #774433, #447733
Tints, shades & saturation
Channel breakdown
R51
G102
B119
Red51 (20%)
Green102 (40%)
Blue119 (46.7%)
Hue195°
Saturation (HSL)40%
Lightness33.33%
Dominant channelBlue
Hex per channelR 33 · G 66 · B 77
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Harmonies
Similar named colours
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