Recognised as Number
820,001
- Positive
- Odd
- Composite
- 6 digits
820,001 is an odd 6-digit integer and a composite number. It has 8 divisors and a digital root of 2.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value820,001
Digit count6
Digit sum11
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation7 × 13 × 9,011
Distinct prime factors37, 13, 9,011
Number of divisors8
Sum of divisors σ(n)1,009,344
Aliquot sum189,343sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)648,720integers below n that share no factor with it
Carmichael function λ(n)54,060the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 648,720
Möbius function μ(n)−13 distinct prime factors, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 7, 13, 91, 9,011, 63,077, 117,143, 820,0018 in total
Arithmetic
Representations
Decimal820,001
Binary1100100000110010000120 bits
Octal3101441
HexadecimalC8321
Base 36HKPT
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordseight hundred and twenty thousand and one
Ordinaleight hundred and twenty thousand and first
Scientific notation8.20001 × 10^5
Engineering notation820.001 × 10^3
In other bases
Ternary1112122211102base 3; the most digit-efficient integer base after e: 13 digits
Quinary202220001base 5; one hand: 9 digits
Septenary6653450base 7: 7 digits
Nonary1478742base 9; each digit is two ternary digits: 7 digits
Duodecimal336655base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal52a01base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal3:47:46:41base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1TTT0T00T1111Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111011000011101100001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000011001000001100100001
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 odd
Highest set bitbit 19worth 524,288
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes30c 83 21
Gray code10101100001010110001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000011001000001100100001
64-bit0000000000000000000000000000000000000000000011001000001100100001
One's complement11111111111100110111110011011110at 32 bits, every bit flipped
Bits reversed10000100110000010011000000000000at 32 bits
Rotated left by 100000000000110010000011001000010at 32 bits, wrapping
Shifted left by 1110010000011001000010= 1,640,002, no wrap
Shifted right by 11100100000110010000= 410,000, discarding the low bit
These bits as a double4.05134324 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
820,001 to the power 2672,401,640,001
820,001 to the power 3551,370,017,202,460,001
820,001 to the power 4452,123,965,476,034,403,280,001
820,001 to the power 5370,742,103,814,313,686,724,004,100,001
First ten multiples820,001, 1,640,002, 2,460,003, 3,280,004, 4,100,005, 4,920,006, 5,740,007, 6,560,008, 7,380,009, 8,200,010
Powers of twoBetween 2^19 (524,288) and 2^20 (1,048,576)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 5
Divisible by 7Yes
Divisible by 8No, remainder 1
Divisible by 9No, remainder 2
Divisible by 10No, remainder 1
Divisible by 11No, remainder 6
Divisible by 12No, remainder 5
Divisible by 100No, remainder 1
Collatz (3n + 1) trajectory
Steps to reach 187the total stopping time
Highest value reached2,955,3643× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps820,001 → 2,460,004 → 1,230,002 → 615,001 → 1,845,004 → 922,502 → 461,251 → 1,383,754 → 691,877 → 2,075,632 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage82,000,100%
820,001% as a decimal8,200.01
820,001% of 100820,001
820,001% of 1,0008,200,010
As a fraction of 100820,001/100
Read another way
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Derived from 820,001
Also reads as
#820001 (colour)
- #820001
- Red
- Dark
- Nearest: Maroon
#820001 is a red with RGB values 130, 0, 1 and HSL 360°, 100%, 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
#820001#820001
HEX#820001
RGBrgb(130, 0, 1)
RGB (0–1)0.5098, 0, 0.0039
RGB percentages51%, 0%, 0.4%
HSLhsl(359.5, 100%, 25.5%)
HSV / HSBhsv(359.5, 100%, 51%)
CMYK0%, 100%, 99.2%, 49%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer8,519,681
CSS custom property--colour: #820001;
Brightness & contrast
Relative luminance0.04748WCAG 2.x, 0 is black and 1 is white
Perceived brightness71.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 10.77:1
Contrast with white10.77:1WCAG normal text: AAA
Contrast with black1.95:1WCAG normal text: Fail
Greyscale equivalent#1C1C1C
Inverted#7DFFFE
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text10.77:1WCAG 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#008281
Analogous#820042, #824000
Triadic#018200, #000182
Split complementary#008240, #004282
Tetradic#428200, #008281, #400082
Tints, shades & saturation
Channel breakdown
R130
G0
B1
Red130 (51%)
Green0 (0%)
Blue1 (0.4%)
Hue359.54°
Saturation (HSL)100%
Lightness25.49%
Dominant channelRed
Hex per channelR 82 · G 00 · B 01
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