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Number

131,413

  • Positive
  • Odd
  • Prime
  • 6 digits

131,413 is an odd 6-digit integer and a prime number. It has 2 divisors and a digital root of 4.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value131,413
Digit count6
Digit sum13
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation131,413
Distinct prime factors1131,413
Number of divisors2
Sum of divisors σ(n)131,414
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)131,412integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 131,4132 in total

Arithmetic

Previous number131,412
Next number131,414
Double262,826
Cube2,269,420,583,061,997
Square root362.509310225irrational, shown to 9 decimal places
Cube root50.840846929
Negation-131,413
Reciprocal0.0000076096

Representations

Decimal131,413
Binary10000000010101010118 bits
Octal400525
Hexadecimal20155
Base 362TED
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred and thirty-one thousand, four hundred and thirteen
Ordinalone hundred and thirty-one thousand, four hundred and thirteenth
Scientific notation1.31413 × 10^5
Engineering notation131.413 × 10^3

Nearest landmarks

Next prime131,431+18
Previous prime131,381−32
Distance to nearest prime0, it is prime
Nearest square below131,044
Nearest square above131,769

Powers & multiples

131,413 to the power 217,269,376,569
131,413 to the power 32,269,420,583,061,997
131,413 to the power 4298,231,367,081,926,211,761
131,413 to the power 539,191,478,642,337,169,266,148,293
First ten multiples131,413, 262,826, 394,239, 525,652, 657,065, 788,478, 919,891, 1,051,304, 1,182,717, 1,314,130
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 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 1
Divisible by 7No, remainder 2
Divisible by 8No, remainder 5
Divisible by 9No, remainder 4
Divisible by 10No, remainder 3
Divisible by 11No, remainder 7
Divisible by 12No, remainder 1
Divisible by 100No, remainder 13

Collatz (3n + 1) trajectory

Steps to reach 143the total stopping time
Highest value reached394,2403× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps131,413 → 394,240 → 197,120 → 98,560 → 49,280 → 24,640 → 12,320 → 6,160 → 3,080 → 1,540 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage13,141,300%
131,413% as a decimal1,314.13
131,413% of 100131,413
131,413% of 1,0001,314,130
As a fraction of 100131,413/100

Read another way

As bytes128.333 KiB
As a 24-bit colour#020155

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Also reads as

#131413 (colour)

  • #131413
  • Near-black
  • Dark
  • Nearest: Black

#131413 is a near-black with RGB values 19, 20, 19 and HSL 120°, 3%, 8%. It is a dark colour, so white text on it reaches 18.5:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#131413#131413
HEX#131413
RGBrgb(19, 20, 19)
RGB (0–1)0.0745, 0.0784, 0.0745
RGB percentages7.5%, 7.8%, 7.5%
HSLhsl(120, 2.6%, 7.6%)
HSV / HSBhsv(120, 5%, 7.8%)
CMYK5%, 0%, 5%, 92.2%naive device-independent conversion; real print needs an ICC profile
24-bit integer1,250,323
CSS custom property--colour: #131413;

Brightness & contrast

Relative luminance0.00686WCAG 2.x, 0 is black and 1 is white
Perceived brightness19.6 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 18.47:1
Contrast with white18.47:1WCAG normal text: AAA
Contrast with black1.14:1WCAG normal text: Fail
Greyscale equivalent#141414
Inverted#ECEBEC

Colour vision & accessibility

Protanopia#141413no red cones; affects about 1% of men; ΔE 0.5 from the original
Deuteranopia#141413no green cones; the most common form, about 1% of men; ΔE 0.5 from the original
Tritanopia#131414no blue cones; rare, and affects men and women equally; ΔE 0.6 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text18.47:1WCAG large text: AAA
Contrast with black, large text1.14:1WCAG large text: Fail

Named colours

Nearest named CSS colourBlack (#000000)ΔE 6.24, clearly different but related
Hue familynear-black
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#141314
Analogous#141413, #131414
Triadic#131314, #141313
Split complementary#141314, #141314
Tetradic#131414, #141314, #141413

Tints, shades & saturation

Lighter +40%#767D76
Lighter +30%#5E625E
Lighter +20%#454845
Lighter +10%#2C2E2C
Darker −10%#000000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#0E190E
Less saturated −25%#141414

Channel breakdown

R19
G20
B19
Red19 (7.5%)
Green20 (7.8%)
Blue19 (7.5%)
Hue120°
Saturation (HSL)2.56%
Lightness7.65%
Dominant channelGreen
Hex per channelR 13 · G 14 · B 13

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Every value on this page was computed from “131413” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.