Recognised as Number
800,040
- Positive
- Even
- Composite
- 6 digits
800,040 is an even 6-digit integer and a composite number. It has 64 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value800,040
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 factorisation2^3 × 3 × 5 × 59 × 113
Distinct prime factors52, 3, 5, 59, 113
Number of divisors64
Sum of divisors σ(n)2,462,400
Aliquot sum1,662,360sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)207,872integers below n that share no factor with it
Carmichael function λ(n)3,248the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 207,872
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, 20, 24, 30, 40, 59, 60, 113, 118, 120, 177, 226, 236, 295, 339, 354, 452, 472, 565, 590, 678, 708, 885, 904, 1,130, 1,180, 1,356, 1,416, 1,695, 1,770, 2,260, 2,360, 2,712, 3,390, 3,540, 4,520, 6,667, 6,780, 7,080, 13,334, 13,560, 20,001, 26,668, 33,335, 40,002, 53,336, 66,670, 80,004, 100,005, 133,340, 160,008, 200,010, 266,680, 400,020, 800,04064 in total
Arithmetic
Representations
Decimal800,040
Binary1100001101010010100020 bits
Octal3032450
HexadecimalC3528
Base 36H5BC
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordseight hundred thousand and forty
Ordinaleight hundred thousand and fortieth
Scientific notation8.0004 × 10^5
Engineering notation800.04 × 10^3
In other bases
Ternary1111122110010base 3; the most digit-efficient integer base after e: 13 digits
Quinary201100130base 5; one hand: 9 digits
Septenary6541323base 7: 7 digits
Nonary1448403base 9; each digit is two ternary digits: 7 digits
Duodecimal326ba0base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal50020base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal3:42:14:0base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1TTTTT0T110010digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111000111010101111000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000011000011010100101000
Bit length20 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits12within that length
Bit parityeven8 set bits, so even; not the same as the number itself being even
Highest set bitbit 19worth 524,288
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes30c 35 28
Gray code10100010111110111100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000011000011010100101000
64-bit0000000000000000000000000000000000000000000011000011010100101000
One's complement11111111111100111100101011010111at 32 bits, every bit flipped
Bits reversed00010100101011000011000000000000at 32 bits
Rotated left by 100000000000110000110101001010000at 32 bits, wrapping
Shifted left by 1110000110101001010000= 1,600,080, no wrap
Shifted right by 11100001101010010100= 400,020, discarding the low bit
These bits as a double3.95272279 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
800,040 to the power 2640,064,001,600
800,040 to the power 3512,076,803,840,064,000
800,040 to the power 4409,681,926,144,204,802,560,000
800,040 to the power 5327,761,928,192,409,610,240,102,400,000
First ten multiples800,040, 1,600,080, 2,400,120, 3,200,160, 4,000,200, 4,800,240, 5,600,280, 6,400,320, 7,200,360, 8,000,400
Powers of twoBetween 2^19 (524,288) and 2^20 (1,048,576)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 3
Divisible by 8Yes
Divisible by 9No, remainder 3
Divisible by 10Yes
Divisible by 11No, remainder 10
Divisible by 12Yes
Divisible by 100No, remainder 40
Collatz (3n + 1) trajectory
Steps to reach 156the total stopping time
Highest value reached800,040
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps800,040 → 400,020 → 200,010 → 100,005 → 300,016 → 150,008 → 75,004 → 37,502 → 18,751 → 56,254 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage80,004,000%
800,040% as a decimal8,000.4
800,040% of 100800,040
800,040% of 1,0008,000,400
As a fraction of 100800,040/100
Read another way
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Derived from 800,040
Also reads as
#800040 (colour)
- #800040
- Red
- Dark
- Nearest: Medium violet red
#800040 is a red with RGB values 128, 0, 64 and HSL 330°, 100%, 25%. It is a dark colour, so white text on it reaches 10.5:1 contrast (AAA for normal text). The nearest named colour is Medium violet red.
Colour values
#800040#800040
HEX#800040
RGBrgb(128, 0, 64)
RGB (0–1)0.502, 0, 0.251
RGB percentages50.2%, 0%, 25.1%
HSLhsl(330, 100%, 25.1%)
HSV / HSBhsv(330, 100%, 50.2%)
CMYK0%, 100%, 50%, 49.8%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer8,388,672
CSS custom property--colour: #800040;
Brightness & contrast
Relative luminance0.04959WCAG 2.x, 0 is black and 1 is white
Perceived brightness73.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 10.54:1
Contrast with white10.54:1WCAG normal text: AAA
Contrast with black1.99:1WCAG normal text: Fail
Greyscale equivalent#202020
Inverted#7FFFBF
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text10.54:1WCAG large text: AAA
Contrast with black, large text1.99:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#008040
Analogous#800080, #800000
Triadic#408000, #004080
Split complementary#008000, #008080
Tetradic#808000, #008040, #000080
Tints, shades & saturation
Channel breakdown
R128
G0
B64
Red128 (50.2%)
Green0 (0%)
Blue64 (25.1%)
Hue330°
Saturation (HSL)100%
Lightness25.1%
Dominant channelRed
Hex per channelR 80 · G 00 · B 40
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