Recognised as Number
131,311
- Positive
- Odd
- Prime
- 6 digits
131,311 is an odd 6-digit integer and a prime number. It has 2 divisors and a digital root of 1.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value131,311
Digit count6
Digit sum10
Digit product9
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation131,311
Distinct prime factors1131,311
Number of divisors2
Sum of divisors σ(n)131,312
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)131,310integers below n that share no factor with it
Carmichael function λ(n)131,310the smallest exponent with aˣ ≡ 1 for every unit coprime to n
Möbius function μ(n)−11 distinct prime factor, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 131,3112 in total
Arithmetic
Representations
Decimal131,311
Binary10000000001110111118 bits
Octal400357
Hexadecimal200EF
Base 362TBJ
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred and thirty-one thousand, three hundred and eleven
Ordinalone hundred and thirty-one thousand, three hundred and eleventh
Scientific notation1.31311 × 10^5
Engineering notation131.311 × 10^3
In other bases
Ternary20200010101base 3; the most digit-efficient integer base after e: 11 digits
Quinary13200221base 5; one hand: 8 digits
Septenary1054555base 7: 7 digits
Nonary220111base 9; each digit is two ternary digits: 6 digits
Duodecimal63ba7base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimalg85bbase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal36:28:31base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T1T00010101digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100000000100110011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000000100000000011101111
Bit length18 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits10within that length
Bit parityeven8 set bits, so even; not the same as the number itself being odd
Highest set bitbit 17worth 131,072
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes302 00 ef
Gray code110000000010011000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000000100000000011101111
64-bit0000000000000000000000000000000000000000000000100000000011101111
One's complement11111111111111011111111100010000at 32 bits, every bit flipped
Bits reversed11110111000000000100000000000000at 32 bits
Rotated left by 100000000000001000000000111011110at 32 bits, wrapping
Shifted left by 11000000000111011110= 262,622, no wrap
Shifted right by 110000000001110111= 65,655, discarding the low bit
These bits as a double6.4876254 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
131,311 to the power 217,242,578,721
131,311 to the power 32,264,140,254,433,231
131,311 to the power 4297,306,520,949,881,995,841
131,311 to the power 539,039,616,572,449,954,755,877,551
First ten multiples131,311, 262,622, 393,933, 525,244, 656,555, 787,866, 919,177, 1,050,488, 1,181,799, 1,313,110
Powers of twoBetween 2^17 (131,072) and 2^18 (262,144)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 3
Divisible by 5No, remainder 1
Divisible by 6No, remainder 1
Divisible by 7No, remainder 5
Divisible by 8No, remainder 7
Divisible by 9No, remainder 1
Divisible by 10No, remainder 1
Divisible by 11No, remainder 4
Divisible by 12No, remainder 7
Divisible by 100No, remainder 11
Collatz (3n + 1) trajectory
Steps to reach 169the total stopping time
Highest value reached5,048,08038× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps131,311 → 393,934 → 196,967 → 590,902 → 295,451 → 886,354 → 443,177 → 1,329,532 → 664,766 → 332,383 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage13,131,100%
131,311% as a decimal1,313.11
131,311% of 100131,311
131,311% of 1,0001,313,110
As a fraction of 100131,311/100
Read another way
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Derived from 131,311
Also reads as
#131311 (colour)
- #131311
- Near-black
- Dark
- Nearest: Black
#131311 is a near-black with RGB values 19, 19, 17 and HSL 60°, 6%, 7%. It is a dark colour, so white text on it reaches 18.6:1 contrast (AAA for normal text). The nearest named colour is Black.
Colour values
#131311#131311
HEX#131311
RGBrgb(19, 19, 17)
RGB (0–1)0.0745, 0.0745, 0.0667
RGB percentages7.5%, 7.5%, 6.7%
HSLhsl(60, 5.6%, 7.1%)
HSV / HSBhsv(60, 10.5%, 7.5%)
CMYK0%, 0%, 10.5%, 92.5%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,250,065
CSS custom property--colour: #131311;
Brightness & contrast
Relative luminance0.00645WCAG 2.x, 0 is black and 1 is white
Perceived brightness18.8 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 18.6:1
Contrast with white18.6:1WCAG normal text: AAA
Contrast with black1.13:1WCAG normal text: Fail
Greyscale equivalent#131313
Inverted#ECECEE
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text18.6:1WCAG large text: AAA
Contrast with black, large text1.13:1WCAG large text: Fail
Named colours
Hue familynear-black
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#111113
Analogous#131211, #121311
Triadic#111313, #131113
Split complementary#111213, #121113
Tetradic#111312, #111113, #131112
Tints, shades & saturation
Channel breakdown
R19
G19
B17
Red19 (7.5%)
Green19 (7.5%)
Blue17 (6.7%)
Hue60°
Saturation (HSL)5.56%
Lightness7.06%
Dominant channelRed and Green
Hex per channelR 13 · G 13 · B 11
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