Recognised as Number
4,473
- Positive
- Odd
- Composite
- 4 digits
4,473 is an odd 4-digit integer and a composite number. It has 12 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value4,473
Digit count4
Digit sum18
Digit product336
Multiplicative persistence4times 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 numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation3^2 × 7 × 71
Distinct prime factors33, 7, 71
Number of divisors12
Sum of divisors σ(n)7,488
Aliquot sum3,015sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)2,520integers below n that share no factor with it
Carmichael function λ(n)210the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 2,520
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 3, 7, 9, 21, 63, 71, 213, 497, 639, 1,491, 4,47312 in total
Arithmetic
Previous number4,472
Next number4,474
Double8,946
Half2,236.5
Square20,007,729
Cube89,494,571,817
Square root66.880490429≈irrational, shown to 9 decimal places
Cube root16.476550712≈
Negation-4,473
Reciprocal0.0002235636≈
Representations
Decimal4,473
Binary100010111100113 bits
Octal10571
Hexadecimal1179
Base 363G9
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour thousand, four hundred and seventy-three
Ordinalfour thousand, four hundred and seventy-third
Scientific notation4.473 × 10^3
Engineering notation4.473 × 10^3
In other bases
Ternary20010200base 3; the most digit-efficient integer base after e: 8 digits
Quinary120343base 5; one hand: 6 digits
Septenary16020base 7: 5 digits
Nonary6120base 9; each digit is two ternary digits: 4 digits
Duodecimal2709base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimalb3dbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:14:33base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T0011T00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1011010001001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001000101111001
Bit length13 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits6within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 12worth 4,096
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes211 79
Gray code1100111000101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001000101111001
32-bit00000000000000000001000101111001
64-bit0000000000000000000000000000000000000000000000000001000101111001
One's complement1110111010000110at 16 bits, every bit flipped
Bits reversed1001111010001000at 16 bits
Rotated left by 10010001011110010at 16 bits, wrapping
Shifted left by 110001011110010= 8,946, no wrap
Shifted right by 1100010111100= 2,236, discarding the low bit
These bits as a double2.20995563 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
4,473 to the power 220,007,729
4,473 to the power 389,494,571,817
4,473 to the power 4400,309,219,737,441
4,473 to the power 51,790,583,139,885,573,593
First ten multiples4,473, 8,946, 13,419, 17,892, 22,365, 26,838, 31,311, 35,784, 40,257, 44,730
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 3
Divisible by 7Yes
Divisible by 8No, remainder 1
Divisible by 9Yes
Divisible by 10No, remainder 3
Divisible by 11No, remainder 7
Divisible by 12No, remainder 9
Divisible by 100No, remainder 73
Collatz (3n + 1) trajectory
Steps to reach 195the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps4,473 → 13,420 → 6,710 → 3,355 → 10,066 → 5,033 → 15,100 → 7,550 → 3,775 → 11,326 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage447,300%
4,473% as a decimal44.73
4,473% of 1004,473
4,473% of 1,00044,730
As a fraction of 1004,473/100
Read another way
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Derived from 4,473
Also reads as
4473 (year)
- Common year
- 365 days
- 45th century
- Snake
4473 will be a common year of 365 days. It begins on a Sunday and ends on a Sunday. Easter Sunday falls on 2 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Sunday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays53one of the extras
Mondays52
Tuesdays52
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th2 of them13 January, 13 October
ISO weeks52an ordinary 52-week year
Same calendar as4462the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in4479, 4490, 45026 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 4473
January31 days, starts Sunday
February28 days, starts Wednesday
August31 days, starts Tuesday
September30 days, starts Friday
October31 days, starts Sunday
November30 days, starts Wednesday
December31 days, starts Friday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start78,987,139,200
Unix timestamp at the end79,018,675,199
Years from now2,447 years from now
Days from today893,491 days to 1 January
The number 4473
As a number4,473
In wordsfour thousand, four hundred and seventy-three
Roman numeralsNot defined above 3,999
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Also reads as
#444477 (colour)
- #444477
- Blue
- Dark
- Nearest: Dark slateblue
#444477 is a blue with RGB values 68, 68, 119 and HSL 240°, 27%, 37%. It is a dark colour, so white text on it reaches 9:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.
Colour values
#444477#444477
HEX#444477
HEX (short)#447
RGBrgb(68, 68, 119)
RGB (0–1)0.2667, 0.2667, 0.4667
RGB percentages26.7%, 26.7%, 46.7%
HSLhsl(240, 27.3%, 36.7%)
HSV / HSBhsv(240, 42.9%, 46.7%)
CMYK42.9%, 42.9%, 0%, 53.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,473,975
CSS custom property--colour: #444477;
Brightness & contrast
Relative luminance0.06695WCAG 2.x, 0 is black and 1 is white
Perceived brightness75.6 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 8.98:1
Contrast with white8.98:1WCAG normal text: AAA
Contrast with black2.34:1WCAG normal text: Fail
Greyscale equivalent#484848
Inverted#BBBB88
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text8.98:1WCAG large text: AAA
Contrast with black, large text2.34:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#777744
Analogous#445E77, #5E4477
Triadic#774444, #447744
Split complementary#775E44, #5E7744
Tetradic#77445E, #777744, #44775E
Tints, shades & saturation
Channel breakdown
R68
G68
B119
Red68 (26.7%)
Green68 (26.7%)
Blue119 (46.7%)
Hue240°
Saturation (HSL)27.27%
Lightness36.67%
Dominant channelBlue
Hex per channelR 44 · G 44 · B 77
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Harmonies
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