Recognised as Number
400,080
- Positive
- Even
- Composite
- 6 digits
400,080 is an even 6-digit integer and a composite number. It has 40 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value400,080
Digit count6
Digit sum12
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^4 × 3 × 5 × 1,667
Distinct prime factors42, 3, 5, 1,667
Number of divisors40
Sum of divisors σ(n)1,240,992
Aliquot sum840,912sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)106,624integers below n that share no factor with it
Carmichael function λ(n)3,332the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 106,624
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 1,667, 3,334, 5,001, 6,668, 8,335, 10,002, 13,336, 16,670, 20,004, 25,005, 26,672, 33,340, 40,008, 50,010, 66,680, 80,016, 100,020, 133,360, 200,040, 400,08040 in total
Arithmetic
Representations
Decimal400,080
Binary110000110101101000019 bits
Octal1415320
Hexadecimal61AD0
Base 368KPC
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred thousand and eighty
Ordinalfour hundred thousand and eightieth
Scientific notation4.0008 × 10^5
Engineering notation400.08 × 10^3
In other bases
Ternary202022210210base 3; the most digit-efficient integer base after e: 12 digits
Quinary100300310base 5; one hand: 9 digits
Septenary3254262base 7: 7 digits
Nonary668723base 9; each digit is two ternary digits: 6 digits
Duodecimal173640base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal2a040base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal1:51:8:0base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T1T100T11T10digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110100110111111010000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001100001101011010000
Bit length19 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits11within that length
Bit parityeven8 set bits, so even; not the same as the number itself being even
Highest set bitbit 18worth 262,144
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes306 1a d0
Gray code1010001011110111000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001100001101011010000
64-bit0000000000000000000000000000000000000000000001100001101011010000
One's complement11111111111110011110010100101111at 32 bits, every bit flipped
Bits reversed00001011010110000110000000000000at 32 bits
Rotated left by 100000000000011000011010110100000at 32 bits, wrapping
Shifted left by 111000011010110100000= 800,160, no wrap
Shifted right by 1110000110101101000= 200,040, discarding the low bit
These bits as a double1.97665784 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
400,080 to the power 2160,064,006,400
400,080 to the power 364,038,407,680,512,000
400,080 to the power 425,620,486,144,819,240,960,000
400,080 to the power 510,250,244,096,819,281,923,276,800,000
First ten multiples400,080, 800,160, 1,200,240, 1,600,320, 2,000,400, 2,400,480, 2,800,560, 3,200,640, 3,600,720, 4,000,800
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 9No, remainder 3
Divisible by 10Yes
Divisible by 11No, remainder 10
Divisible by 12Yes
Divisible by 100No, remainder 80
Collatz (3n + 1) trajectory
Steps to reach 1117the total stopping time
Highest value reached400,080
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps400,080 → 200,040 → 100,020 → 50,010 → 25,005 → 75,016 → 37,508 → 18,754 → 9,377 → 28,132 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage40,008,000%
400,080% as a decimal4,000.8
400,080% of 100400,080
400,080% of 1,0004,000,800
As a fraction of 100400,080/100
Read another way
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Derived from 400,080
Also reads as
#400080 (colour)
- #400080
- Violet
- Dark
- Nearest: Indigo
#400080 is a violet with RGB values 64, 0, 128 and HSL 270°, 100%, 25%. It is a dark colour, so white text on it reaches 13.7:1 contrast (AAA for normal text). The nearest named colour is Indigo.
Colour values
#400080#400080
HEX#400080
RGBrgb(64, 0, 128)
RGB (0–1)0.251, 0, 0.502
RGB percentages25.1%, 0%, 50.2%
HSLhsl(270, 100%, 25.1%)
HSV / HSBhsv(270, 100%, 50.2%)
CMYK50%, 100%, 0%, 49.8%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,194,432
CSS custom property--colour: #400080;
Brightness & contrast
Relative luminance0.02649WCAG 2.x, 0 is black and 1 is white
Perceived brightness55.6 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#171717
Inverted#BFFF7F
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever 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 familyviolet
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#408000
Analogous#000080, #800080
Triadic#804000, #008040
Split complementary#808000, #008000
Tetradic#800000, #408000, #008080
Tints, shades & saturation
Channel breakdown
R64
G0
B128
Red64 (25.1%)
Green0 (0%)
Blue128 (50.2%)
Hue270°
Saturation (HSL)100%
Lightness25.1%
Dominant channelBlue
Hex per channelR 40 · G 00 · B 80
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