Recognised as Number
847
- Positive
- Odd
- Composite
- 3 digits
847 is an odd 3-digit integer and a composite number. It has 6 divisors and a digital root of 1.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value847
Digit count3
Digit sum19
Digit product224
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation7 × 11^2
Distinct prime factors27, 11
Number of divisors6
Sum of divisors σ(n)1,064
Aliquot sum217sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)660integers below n that share no factor with it
Carmichael function λ(n)330the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 660
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 7, 11, 77, 121, 8476 in total
Arithmetic
Representations
Decimal847
Binary110100111110 bits
Octal1517
Hexadecimal34F
Base 36NJ
Roman numeralDCCCXLVII
In wordseight hundred and forty-seven
Ordinaleight hundred and forty-seventh
Scientific notation8.47 × 10^2
Engineering notation847
In other bases
Ternary1011101base 3; the most digit-efficient integer base after e: 7 digits
Quinary11342base 5; one hand: 5 digits
Septenary2320base 7: 4 digits
Nonary1141base 9; each digit is two ternary digits: 4 digits
Duodecimal5a7base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal227base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal14:7base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1011101digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11101010011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000001101001111
Bit length10 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits3within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 9worth 512
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes203 4f
Gray code1011101000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000001101001111
32-bit00000000000000000000001101001111
64-bit0000000000000000000000000000000000000000000000000000001101001111
One's complement1111110010110000at 16 bits, every bit flipped
Bits reversed1111001011000000at 16 bits
Rotated left by 10000011010011110at 16 bits, wrapping
Shifted left by 111010011110= 1,694, no wrap
Shifted right by 1110100111= 423, discarding the low bit
These bits as a double4.18473602 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
847 to the power 2717,409
847 to the power 3607,645,423
847 to the power 4514,675,673,281
847 to the power 5435,930,295,269,007
First ten multiples847, 1,694, 2,541, 3,388, 4,235, 5,082, 5,929, 6,776, 7,623, 8,470
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 3
Divisible by 5No, remainder 2
Divisible by 6No, remainder 1
Divisible by 7Yes
Divisible by 8No, remainder 7
Divisible by 9No, remainder 1
Divisible by 10No, remainder 7
Divisible by 11Yes
Divisible by 12No, remainder 7
Divisible by 100No, remainder 47
Collatz (3n + 1) trajectory
Steps to reach 133the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps847 → 2,542 → 1,271 → 3,814 → 1,907 → 5,722 → 2,861 → 8,584 → 4,292 → 2,146 → …
Last steps… → 32 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage84,700%
847% as a decimal8.47
847% of 100847
847% of 1,0008,470
As a fraction of 100847/100
Read another way
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Derived from 847
Other readings
Also reads as
#884477 (colour)
- #884477
- Magenta
- Dark
- Nearest: Pale violetred
#884477 is a magenta with RGB values 136, 68, 119 and HSL 315°, 33%, 40%. It is a dark colour, so white text on it reaches 6.7:1 contrast (AA for normal text). The nearest named colour is Pale violetred.
Colour values
#884477#884477
HEX#884477
HEX (short)#847
RGBrgb(136, 68, 119)
RGB (0–1)0.5333, 0.2667, 0.4667
RGB percentages53.3%, 26.7%, 46.7%
HSLhsl(315, 33.3%, 40%)
HSV / HSBhsv(315, 50%, 53.3%)
CMYK0%, 50%, 12.5%, 46.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer8,930,423
CSS custom property--colour: #884477;
Brightness & contrast
Relative luminance0.107WCAG 2.x, 0 is black and 1 is white
Perceived brightness99.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 6.69:1
Contrast with white6.69:1WCAG normal text: AA
Contrast with black3.14:1WCAG normal text: Fail
Greyscale equivalent#565656
Inverted#77BB88
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text6.69:1WCAG large text: AAA
Contrast with black, large text3.14:1WCAG large text: AA
Named colours
Hue familymagenta
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#448855
Analogous#774488, #884455
Triadic#778844, #447788
Split complementary#558844, #448877
Tetradic#887744, #448855, #445588
Tints, shades & saturation
Channel breakdown
R136
G68
B119
Red136 (53.3%)
Green68 (26.7%)
Blue119 (46.7%)
Hue315°
Saturation (HSL)33.33%
Lightness40%
Dominant channelRed
Hex per channelR 88 · G 44 · B 77
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Harmonies
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