Recognised as Number
836
- Positive
- Even
- Composite
- 3 digits
836 is an even 3-digit integer and a composite number. It has 12 divisors and a digital root of 8.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value836
Digit count3
Digit sum17
Digit product144
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 11 × 19
Distinct prime factors32, 11, 19
Number of divisors12
Sum of divisors σ(n)1,680
Aliquot sum844sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)360integers below n that share no factor with it
Carmichael function λ(n)90the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 360
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 83612 in total
Arithmetic
Representations
Decimal836
Binary110100010010 bits
Octal1504
Hexadecimal344
Base 36N8
Roman numeralDCCCXXXVI
In wordseight hundred and thirty-six
Ordinaleight hundred and thirty-sixth
Scientific notation8.36 × 10^2
Engineering notation836
In other bases
Ternary1010222base 3; the most digit-efficient integer base after e: 7 digits
Quinary11321base 5; one hand: 5 digits
Septenary2303base 7: 4 digits
Nonary1128base 9; each digit is two ternary digits: 4 digits
Duodecimal598base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal21gbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal13:56base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary101100Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11101000100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000001101000100
Bit length10 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits6within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 9worth 512
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes203 44
Gray code1011100110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000001101000100
32-bit00000000000000000000001101000100
64-bit0000000000000000000000000000000000000000000000000000001101000100
One's complement1111110010111011at 16 bits, every bit flipped
Bits reversed0010001011000000at 16 bits
Rotated left by 10000011010001000at 16 bits, wrapping
Shifted left by 111010001000= 1,672, no wrap
Shifted right by 1110100010= 418, discarding the low bit
These bits as a double4.1303888 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
836 to the power 2698,896
836 to the power 3584,277,056
836 to the power 4488,455,618,816
836 to the power 5408,348,897,330,176
First ten multiples836, 1,672, 2,508, 3,344, 4,180, 5,016, 5,852, 6,688, 7,524, 8,360
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5No, remainder 1
Divisible by 6No, remainder 2
Divisible by 7No, remainder 3
Divisible by 8No, remainder 4
Divisible by 9No, remainder 8
Divisible by 10No, remainder 6
Divisible by 11Yes
Divisible by 12No, remainder 8
Divisible by 100No, remainder 36
Collatz (3n + 1) trajectory
Steps to reach 141the total stopping time
Highest value reached836
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps836 → 418 → 209 → 628 → 314 → 157 → 472 → 236 → 118 → 59 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage83,600%
836% as a decimal8.36
836% of 100836
836% of 1,0008,360
As a fraction of 100836/100
Read another way
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Derived from 836
Other readings
Also reads as
#883366 (colour)
- #883366
- Magenta
- Dark
- Nearest: Pale violetred
#883366 is a magenta with RGB values 136, 51, 102 and HSL 324°, 45%, 37%. It is a dark colour, so white text on it reaches 7.7:1 contrast (AAA for normal text). The nearest named colour is Pale violetred.
Colour values
#883366#883366
HEX#883366
HEX (short)#836
RGBrgb(136, 51, 102)
RGB (0–1)0.5333, 0.2, 0.4
RGB percentages53.3%, 20%, 40%
HSLhsl(324, 45.5%, 36.7%)
HSV / HSBhsv(324, 62.5%, 53.3%)
CMYK0%, 62.5%, 25%, 46.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer8,926,054
CSS custom property--colour: #883366;
Brightness & contrast
Relative luminance0.08561WCAG 2.x, 0 is black and 1 is white
Perceived brightness90.8 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 7.74:1
Contrast with white7.74:1WCAG normal text: AAA
Contrast with black2.71:1WCAG normal text: Fail
Greyscale equivalent#494949
Inverted#77CC99
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text7.74:1WCAG large text: AAA
Contrast with black, large text2.71:1WCAG large text: Fail
Named colours
Hue familymagenta
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#338855
Analogous#803388, #88333B
Triadic#668833, #336688
Split complementary#3C8833, #338880
Tetradic#888033, #338855, #333C88
Tints, shades & saturation
Channel breakdown
R136
G51
B102
Red136 (53.3%)
Green51 (20%)
Blue102 (40%)
Hue324°
Saturation (HSL)45.45%
Lightness36.67%
Dominant channelRed
Hex per channelR 88 · G 33 · B 66
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Harmonies
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