Recognised as Number
800,802
- Positive
- Even
- Composite
- 6 digits
800,802 is an even 6-digit integer and a composite number. It has 24 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value800,802
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 numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2 × 3^2 × 17 × 2,617
Distinct prime factors42, 3, 17, 2,617
Number of divisors24
Sum of divisors σ(n)1,837,836
Aliquot sum1,037,034sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)251,136integers below n that share no factor with it
Carmichael function λ(n)5,232the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 251,136
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306, 2,617, 5,234, 7,851, 15,702, 23,553, 44,489, 47,106, 88,978, 133,467, 266,934, 400,401, 800,80224 in total
Arithmetic
Representations
Decimal800,802
Binary1100001110000010001020 bits
Octal3034042
HexadecimalC3822
Base 36H5WI
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordseight hundred thousand, eight hundred and two
Ordinaleight hundred thousand, eight hundred and second
Scientific notation8.00802 × 10^5
Engineering notation800.802 × 10^3
In other bases
Ternary1111200111100base 3; the most digit-efficient integer base after e: 13 digits
Quinary201111202base 5; one hand: 9 digits
Septenary6543462base 7: 7 digits
Nonary1450440base 9; each digit is two ternary digits: 7 digits
Duodecimal327516base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal50202base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal3:42:26:42base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1TTTTT00111100digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111000100100001100110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000011000011100000100010
Bit length20 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits13within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 19worth 524,288
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes30c 38 22
Gray code10100010010000110011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000011000011100000100010
64-bit0000000000000000000000000000000000000000000011000011100000100010
One's complement11111111111100111100011111011101at 32 bits, every bit flipped
Bits reversed01000100000111000011000000000000at 32 bits
Rotated left by 100000000000110000111000001000100at 32 bits, wrapping
Shifted left by 1110000111000001000100= 1,601,604, no wrap
Shifted right by 11100001110000010001= 400,401, discarding the low bit
These bits as a double3.95648757 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
800,802 to the power 2641,283,843,204
800,802 to the power 3513,541,384,205,449,608
800,802 to the power 4411,244,967,554,492,456,985,616
800,802 to the power 5329,325,792,507,572,668,538,995,264,032
First ten multiples800,802, 1,601,604, 2,402,406, 3,203,208, 4,004,010, 4,804,812, 5,605,614, 6,406,416, 7,207,218, 8,008,020
Powers of twoBetween 2^19 (524,288) and 2^20 (1,048,576)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4No, remainder 2
Divisible by 5No, remainder 2
Divisible by 6Yes
Divisible by 7No, remainder 2
Divisible by 8No, remainder 2
Divisible by 9Yes
Divisible by 10No, remainder 2
Divisible by 11No, remainder 2
Divisible by 12No, remainder 6
Divisible by 100No, remainder 2
Collatz (3n + 1) trajectory
Steps to reach 1118the total stopping time
Highest value reached1,201,2041× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps800,802 → 400,401 → 1,201,204 → 600,602 → 300,301 → 900,904 → 450,452 → 225,226 → 112,613 → 337,840 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage80,080,200%
800,802% as a decimal8,008.02
800,802% of 100800,802
800,802% of 1,0008,008,020
As a fraction of 100800,802/100
Read another way
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Derived from 800,802
Also reads as
#800802 (colour)
- #800802
- Red
- Dark
- Nearest: Maroon
#800802 is a red with RGB values 128, 8, 2 and HSL 3°, 97%, 25%. It is a dark colour, so white text on it reaches 10.8:1 contrast (AAA for normal text). The nearest named colour is Maroon.
Colour values
#800802#800802
HEX#800802
RGBrgb(128, 8, 2)
RGB (0–1)0.502, 0.0314, 0.0078
RGB percentages50.2%, 3.1%, 0.8%
HSLhsl(2.9, 96.9%, 25.5%)
HSV / HSBhsv(2.9, 98.4%, 50.2%)
CMYK0%, 93.8%, 98.4%, 49.8%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer8,390,658
CSS custom property--colour: #800802;
Brightness & contrast
Relative luminance0.04767WCAG 2.x, 0 is black and 1 is white
Perceived brightness70.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 10.75:1
Contrast with white10.75:1WCAG normal text: AAA
Contrast with black1.95:1WCAG normal text: Fail
Greyscale equivalent#212121
Inverted#7FF7FD
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text10.75:1WCAG large text: AAA
Contrast with black, large text1.95:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#027A80
Analogous#80023B, #804702
Triadic#028008, #080280
Split complementary#028047, #023B80
Tetradic#3B8002, #027A80, #470280
Tints, shades & saturation
Channel breakdown
R128
G8
B2
Red128 (50.2%)
Green8 (3.1%)
Blue2 (0.8%)
Hue2.86°
Saturation (HSL)96.92%
Lightness25.49%
Dominant channelRed
Hex per channelR 80 · G 08 · B 02
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