Recognised as Number
319
- Positive
- Odd
- Composite
- 3 digits
319 is an odd 3-digit integer and a composite number. It has 4 divisors and a digital root of 4.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value319
Digit count3
Digit sum13
Digit product27
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation11 × 29
Distinct prime factors211, 29
Number of divisors4
Sum of divisors σ(n)360
Aliquot sum41sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)280integers below n that share no factor with it
Carmichael function λ(n)140the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 280
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 11, 29, 3194 in total
Arithmetic
Representations
Decimal319
Binary1001111119 bits
Octal477
Hexadecimal13F
Base 368V
Roman numeralCCCXIX
In wordsthree hundred and nineteen
Ordinalthree hundred and nineteenth
Scientific notation3.19 × 10^2
Engineering notation319
In other bases
Ternary102211base 3; the most digit-efficient integer base after e: 6 digits
Quinary2234base 5; one hand: 4 digits
Septenary634base 7: 3 digits
Nonary384base 9; each digit is two ternary digits: 3 digits
Duodecimal227base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimalfjbase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal5:19base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary110T11digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary101000011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000000100111111
Bit length9 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits2within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 8worth 256
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes201 3f
Gray code110100000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000000100111111
32-bit00000000000000000000000100111111
64-bit0000000000000000000000000000000000000000000000000000000100111111
One's complement1111111011000000at 16 bits, every bit flipped
Bits reversed1111110010000000at 16 bits
Rotated left by 10000001001111110at 16 bits, wrapping
Shifted left by 11001111110= 638, no wrap
Shifted right by 110011111= 159, discarding the low bit
These bits as a double1.57606941 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
319 to the power 2101,761
319 to the power 332,461,759
319 to the power 410,355,301,121
319 to the power 53,303,341,057,599
First ten multiples319, 638, 957, 1,276, 1,595, 1,914, 2,233, 2,552, 2,871, 3,190
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 3
Divisible by 5No, remainder 4
Divisible by 6No, remainder 1
Divisible by 7No, remainder 4
Divisible by 8No, remainder 7
Divisible by 9No, remainder 4
Divisible by 10No, remainder 9
Divisible by 11Yes
Divisible by 12No, remainder 7
Divisible by 100No, remainder 19
Collatz (3n + 1) trajectory
Steps to reach 155the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps319 → 958 → 479 → 1,438 → 719 → 2,158 → 1,079 → 3,238 → 1,619 → 4,858 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage31,900%
319% as a decimal3.19
319% of 100319
319% of 1,0003,190
As a fraction of 100319/100
Read another way
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Derived from 319
Other readings
Also reads as
#331199 (colour)
- #331199
- Violet
- Dark
- Nearest: Dark blue
#331199 is a violet with RGB values 51, 17, 153 and HSL 255°, 80%, 33%. It is a dark colour, so white text on it reaches 12.5:1 contrast (AAA for normal text). The nearest named colour is Dark blue.
Colour values
#331199#331199
HEX#331199
HEX (short)#319
RGBrgb(51, 17, 153)
RGB (0–1)0.2, 0.0667, 0.6
RGB percentages20%, 6.7%, 60%
HSLhsl(255, 80%, 33.3%)
HSV / HSBhsv(255, 88.9%, 60%)
CMYK66.7%, 88.9%, 0%, 40%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer3,346,841
CSS custom property--colour: #331199;
Brightness & contrast
Relative luminance0.03405WCAG 2.x, 0 is black and 1 is white
Perceived brightness60.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 12.49:1
Contrast with white12.49:1WCAG normal text: AAA
Contrast with black1.68:1WCAG normal text: Fail
Greyscale equivalent#222222
Inverted#CCEE66
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text12.49:1WCAG large text: AAA
Contrast with black, large text1.68:1WCAG large text: Fail
Named colours
Hue familyviolet
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#779911
Analogous#113399, #771199
Triadic#993311, #119933
Split complementary#997711, #339911
Tetradic#991133, #779911, #119977
Tints, shades & saturation
Channel breakdown
R51
G17
B153
Red51 (20%)
Green17 (6.7%)
Blue153 (60%)
Hue255°
Saturation (HSL)80%
Lightness33.33%
Dominant channelBlue
Hex per channelR 33 · G 11 · B 99
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