Recognised as Number
472,320
- Positive
- Even
- Composite
- 6 digits
472,320 is an even 6-digit integer and a composite number. It has 108 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value472,320
Digit count6
Digit sum18
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^8 × 3^2 × 5 × 41
Distinct prime factors42, 3, 5, 41
Number of divisors108
Sum of divisors σ(n)1,674,036
Aliquot sum1,201,716sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)122,880integers below n that share no factor with it
Carmichael function λ(n)960the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 122,880
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 41, 45, 48, 60, 64, 72, 80, 82, 90, 96, 120, 123, 128, 144, 160, 164, 180, 192, 205, 240, 246, 256, 288, 320, 328, 360, 369, 384, 410, 480, 492, 576, 615, 640, 656, 720, 738, 768, 820, 960, 984, 1,152, 1,230, 1,280, 1,312, 1,440, 1,476, 1,640, 1,845, 1,920, 1,968, 2,304, 2,460, 2,624, 2,880, 2,952, 3,280, 3,690, 3,840, 3,936, 4,920, 5,248, 5,760, 5,904, 6,560, 7,380, 7,872, 9,840, 10,496, 11,520, 11,808, 13,120, 14,760, 15,744, 19,680, 23,616, 26,240, 29,520, 31,488, 39,360, 47,232, 52,480, 59,040, 78,720, 94,464, 118,080, 157,440, 236,160, 472,320108 in total
Arithmetic
Representations
Decimal472,320
Binary111001101010000000019 bits
Octal1632400
Hexadecimal73500
Base 36A4G0
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred and seventy-two thousand, three hundred and twenty
Ordinalfour hundred and seventy-two thousand, three hundred and twentieth
Scientific notation4.7232 × 10^5
Engineering notation472.32 × 10^3
In other bases
Ternary212222220100base 3; the most digit-efficient integer base after e: 12 digits
Quinary110103240base 5; one hand: 9 digits
Septenary4005012base 7: 7 digits
Nonary788810base 9; each digit is two ternary digits: 6 digits
Duodecimal1a9400base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal2j0g0base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal2:11:12:0base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary10T00000T0100digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110110111010100000000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001110011010100000000
Bit length19 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits12within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 18worth 262,144
Lowest set bitbit 88 trailing zeros
Power of twoNo
Bytes307 35 00
Gray code1001010111110000000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001110011010100000000
64-bit0000000000000000000000000000000000000000000001110011010100000000
One's complement11111111111110001100101011111111at 32 bits, every bit flipped
Bits reversed00000000101011001110000000000000at 32 bits
Rotated left by 100000000000011100110101000000000at 32 bits, wrapping
Shifted left by 111100110101000000000= 944,640, no wrap
Shifted right by 1111001101010000000= 236,160, discarding the low bit
These bits as a double2.33357086 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
472,320 to the power 2223,086,182,400
472,320 to the power 3105,368,065,671,168,000
472,320 to the power 449,767,444,777,806,069,760,000
472,320 to the power 523,506,159,517,453,362,869,043,200,000
First ten multiples472,320, 944,640, 1,416,960, 1,889,280, 2,361,600, 2,833,920, 3,306,240, 3,778,560, 4,250,880, 4,723,200
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 2
Divisible by 8Yes
Divisible by 9Yes
Divisible by 10Yes
Divisible by 11No, remainder 2
Divisible by 12Yes
Divisible by 100No, remainder 20
Collatz (3n + 1) trajectory
Steps to reach 145the total stopping time
Highest value reached472,320
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps472,320 → 236,160 → 118,080 → 59,040 → 29,520 → 14,760 → 7,380 → 3,690 → 1,845 → 5,536 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage47,232,000%
472,320% as a decimal4,723.2
472,320% of 100472,320
472,320% of 1,0004,723,200
As a fraction of 100472,320/100
Read another way
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Derived from 472,320
Also reads as
#472320 (colour)
- #472320
- Red
- Dark
- Nearest: Black
#472320 is a red with RGB values 71, 35, 32 and HSL 5°, 38%, 20%. It is a dark colour, so white text on it reaches 13.7:1 contrast (AAA for normal text). The nearest named colour is Black.
Colour values
#472320#472320
HEX#472320
RGBrgb(71, 35, 32)
RGB (0–1)0.2784, 0.1373, 0.1255
RGB percentages27.8%, 13.7%, 12.5%
HSLhsl(4.6, 37.9%, 20.2%)
HSV / HSBhsv(4.6, 54.9%, 27.8%)
CMYK0%, 50.7%, 54.9%, 72.2%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,662,048
CSS custom property--colour: #472320;
Brightness & contrast
Relative luminance0.02646WCAG 2.x, 0 is black and 1 is white
Perceived brightness48.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 13.73:1
Contrast with white13.73:1WCAG normal text: AAA
Contrast with black1.53:1WCAG normal text: Fail
Greyscale equivalent#2A2A2A
Inverted#B8DCDF
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text13.73:1WCAG large text: AAA
Contrast with black, large text1.53:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#204447
Analogous#472030, #473720
Triadic#204723, #232047
Split complementary#204737, #203047
Tetradic#304720, #204447, #372047
Tints, shades & saturation
Channel breakdown
R71
G35
B32
Red71 (27.8%)
Green35 (13.7%)
Blue32 (12.5%)
Hue4.62°
Saturation (HSL)37.86%
Lightness20.2%
Dominant channelRed
Hex per channelR 47 · G 23 · B 20
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