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Recognised as Number

131,004

  • Positive
  • Even
  • Composite
  • 6 digits

131,004 is an even 6-digit integer and a composite number. It has 24 divisors and a digital root of 9.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value131,004
Digit count6
Digit sum9
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 3^3 × 1,213
Distinct prime factors32, 3, 1,213
Number of divisors24
Sum of divisors σ(n)339,920
Aliquot sum208,916sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)43,632integers below n that share no factor with it
Carmichael function λ(n)3,636the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 43,632
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 1,213, 2,426, 3,639, 4,852, 7,278, 10,917, 14,556, 21,834, 32,751, 43,668, 65,502, 131,00424 in total

Arithmetic

Previous number131,003
Next number131,005
Double262,008
Half65,502
Square17,162,048,016
Cube2,248,296,938,288,064
Square root361.944747165≈irrational, shown to 9 decimal places
Cube root50.788047697≈
Negation-131,004
Reciprocal0.0000076334≈

Representations

Decimal131,004
Binary1111111111011110017 bits
Octal377674
Hexadecimal1FFBC
Base 362T30
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred and thirty-one thousand and four
Ordinalone hundred and thirty-one thousand and fourth
Scientific notation1.31004 × 10^5
Engineering notation131.004 × 10^3

In other bases

Ternary20122201000base 3; the most digit-efficient integer base after e: 11 digits
Quinary13143004base 5; one hand: 8 digits
Septenary1053636base 7: 7 digits
Nonary218630base 9; each digit is two ternary digits: 6 digits
Duodecimal63990base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimalg7a4base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal36:23:24base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T1T00T01000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100000000011001100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000000011111111110111100
Bit length17 bitsto write the magnitude
Set bits14the population count, or Hamming weight
Zero bits3within that length
Bit parityeven14 set bits, so even; not the same as the number itself being even
Highest set bitbit 16worth 65,536
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes301 ff bc
Gray code10000000001100010n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000000011111111110111100
64-bit0000000000000000000000000000000000000000000000011111111110111100
One's complement11111111111111100000000001000011at 32 bits, every bit flipped
Bits reversed00111101111111111000000000000000at 32 bits
Rotated left by 100000000000000111111111101111000at 32 bits, wrapping
Shifted left by 1111111111101111000= 262,008, no wrap
Shifted right by 11111111111011110= 65,502, discarding the low bit
These bits as a double6.47245759 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime131,009+5
Previous prime130,987−17
Distance to nearest prime5
Nearest square below130,321
Nearest square above131,044

Powers & multiples

131,004 to the power 217,162,048,016
131,004 to the power 32,248,296,938,288,064
131,004 to the power 4294,535,892,103,489,536,256
131,004 to the power 538,585,380,009,125,543,207,681,024
First ten multiples131,004, 262,008, 393,012, 524,016, 655,020, 786,024, 917,028, 1,048,032, 1,179,036, 1,310,040
Powers of twoBetween 2^16 (65,536) and 2^17 (131,072)

Divisibility tests

Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 4
Divisible by 6Yes
Divisible by 7No, remainder 6
Divisible by 8No, remainder 4
Divisible by 9Yes
Divisible by 10No, remainder 4
Divisible by 11No, remainder 5
Divisible by 12Yes
Divisible by 100No, remainder 4

Collatz (3n + 1) trajectory

Steps to reach 1131the total stopping time
Highest value reached3,025,34823× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps131,004 → 65,502 → 32,751 → 98,254 → 49,127 → 147,382 → 73,691 → 221,074 → 110,537 → 331,612 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage13,100,400%
131,004% as a decimal1,310.04
131,004% of 100131,004
131,004% of 1,0001,310,040
As a fraction of 100131,004/100

Read another way

As seconds1 day, 12 hours and 23 minutes
As bytes127.934 KiB
As a 24-bit colour#01FFBC

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Neighbouring numbers

Nearby primes

Also reads as

#131004 (colour)

  • #131004
  • Yellow
  • Dark
  • Nearest: Black

#131004 is a yellow with RGB values 19, 16, 4 and HSL 48°, 65%, 5%. It is a dark colour, so white text on it reaches 19:1 contrast (AAA for normal text). The nearest named colour is Black.

Open this reading on its own page →

Colour values

#131004#131004
HEX#131004
RGBrgb(19, 16, 4)
RGB (0–1)0.0745, 0.0627, 0.0157
RGB percentages7.5%, 6.3%, 1.6%
HSLhsl(48, 65.2%, 4.5%)
HSV / HSBhsv(48, 78.9%, 7.5%)
CMYK0%, 15.8%, 78.9%, 92.5%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,249,284
CSS custom property--colour: #131004;

Brightness & contrast

Relative luminance0.00518WCAG 2.x, 0 is black and 1 is white
Perceived brightness16.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 19.03:1
Contrast with white19.03:1WCAG normal text: AAA
Contrast with black1.1:1WCAG normal text: Fail
Greyscale equivalent#101010
Inverted#ECEFFB

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#120F03no red cones; affects about 1% of men; ΔE 0.4 from the original
Deuteranopia#131004no green cones; the most common form, about 1% of men; ΔE 0 from the original
Tritanopia#150E0Dno blue cones; rare, and affects men and women equally; ΔE 5.1 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text19.03:1WCAG large text: AAA
Contrast with black, large text1.1:1WCAG large text: Fail

Named colours

Black · ΔE 7.1Dark slate grey · ΔE 30.2Dim grey · ΔE 40.1Dark olivegreen · ΔE 48.8Gray · ΔE 49.2Slate grey · ΔE 50.7
Nearest named CSS colourBlack (#000000)ΔE 7.14, clearly different but related
Hue familyyellow
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#040713
Analogous#130904, #0F1304
Triadic#041310, #100413
Split complementary#040F13, #080413
Tetradic#041308, #040713, #13040F

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#BC9E27
Lighter +30%#917A1F
Lighter +20%#675716
Lighter +10%#3D330D
Darker −10%#000000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#161201
Less saturated −25%#100E07

Channel breakdown

R19
G16
B4
Red19 (7.5%)
Green16 (6.3%)
Blue4 (1.6%)
Hue48°
Saturation (HSL)65.22%
Lightness4.51%
Dominant channelRed
Hex per channelR 13 · G 10 · B 04

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Every value on this page was computed from “131004” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.