Recognised as Number
4,472
- Positive
- Even
- Composite
- 4 digits
4,472 is an even 4-digit integer and a composite number. It has 16 divisors and a digital root of 8.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value4,472
Digit count4
Digit sum17
Digit product224
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^3 × 13 × 43
Distinct prime factors32, 13, 43
Number of divisors16
Sum of divisors σ(n)9,240
Aliquot sum4,768sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)2,016integers below n that share no factor with it
Carmichael function λ(n)84the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 2,016
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1,118, 2,236, 4,47216 in total
Arithmetic
Previous number4,471
Next number4,473
Double8,944
Half2,236
Square19,998,784
Cube89,434,562,048
Square root66.873013989≈irrational, shown to 9 decimal places
Cube root16.475322769≈
Negation-4,472
Reciprocal0.0002236136≈
Representations
Decimal4,472
Binary100010111100013 bits
Octal10570
Hexadecimal1178
Base 363G8
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour thousand, four hundred and seventy-two
Ordinalfour thousand, four hundred and seventy-second
Scientific notation4.472 × 10^3
Engineering notation4.472 × 10^3
In other bases
Ternary20010122base 3; the most digit-efficient integer base after e: 8 digits
Quinary120342base 5; one hand: 6 digits
Septenary16016base 7: 5 digits
Nonary6118base 9; each digit is two ternary digits: 4 digits
Duodecimal2708base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimalb3cbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:14:32base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T0011T0Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1011010001000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001000101111000
Bit length13 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits7within that length
Bit parityeven6 set bits, so even; not the same as the number itself being even
Highest set bitbit 12worth 4,096
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes211 78
Gray code1100111000100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001000101111000
32-bit00000000000000000001000101111000
64-bit0000000000000000000000000000000000000000000000000001000101111000
One's complement1110111010000111at 16 bits, every bit flipped
Bits reversed0001111010001000at 16 bits
Rotated left by 10010001011110000at 16 bits, wrapping
Shifted left by 110001011110000= 8,944, no wrap
Shifted right by 1100010111100= 2,236, discarding the low bit
These bits as a double2.20946157 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
4,472 to the power 219,998,784
4,472 to the power 389,434,562,048
4,472 to the power 4399,951,361,478,656
4,472 to the power 51,788,582,488,532,549,632
First ten multiples4,472, 8,944, 13,416, 17,888, 22,360, 26,832, 31,304, 35,776, 40,248, 44,720
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5No, remainder 2
Divisible by 6No, remainder 2
Divisible by 7No, remainder 6
Divisible by 8Yes
Divisible by 9No, remainder 8
Divisible by 10No, remainder 2
Divisible by 11No, remainder 6
Divisible by 12No, remainder 8
Divisible by 100No, remainder 72
Collatz (3n + 1) trajectory
Steps to reach 190the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps4,472 → 2,236 → 1,118 → 559 → 1,678 → 839 → 2,518 → 1,259 → 3,778 → 1,889 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage447,200%
4,472% as a decimal44.72
4,472% of 1004,472
4,472% of 1,00044,720
As a fraction of 1004,472/100
Read another way
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Derived from 4,472
Also reads as
4472 (year)
- Leap year
- 366 days
- 45th century
- Dragon
4472 will be a leap year of 366 days. It begins on a Friday and ends on a Saturday. Easter Sunday falls on 10 April.
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 as4444the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in4512, 4540, 456840 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 4472
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 start78,955,516,800
Unix timestamp at the end78,987,139,199
Years from now2,446 years from now
Days from today893,125 days to 1 January
The number 4472
As a number4,472
In wordsfour thousand, four hundred and seventy-two
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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