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Recognised as Number

138,321

  • Positive
  • Odd
  • Composite
  • 6 digits

138,321 is an odd 6-digit integer and a composite number. It has 16 divisors and a digital root of 9.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value138,321
Digit count6
Digit sum18
Digit product144
Multiplicative persistence3times 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 numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation3^3 × 47 × 109
Distinct prime factors33, 47, 109
Number of divisors16
Sum of divisors σ(n)211,200
Aliquot sum72,879sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)89,424integers below n that share no factor with it
Carmichael function λ(n)2,484the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 89,424
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 27, 47, 109, 141, 327, 423, 981, 1,269, 2,943, 5,123, 15,369, 46,107, 138,32116 in total

Arithmetic

Previous number138,320
Next number138,322
Double276,642
Half69,160.5
Square19,132,699,041
Cube2,646,454,064,050,161
Square root371.915312941≈irrational, shown to 9 decimal places
Cube root51.716529502≈
Negation-138,321
Reciprocal0.0000072296≈

Representations

Decimal138,321
Binary10000111000101000118 bits
Octal416121
Hexadecimal21C51
Base 362YQ9
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred and thirty-eight thousand, three hundred and twenty-one
Ordinalone hundred and thirty-eight thousand, three hundred and twenty-first
Scientific notation1.38321 × 10^5
Engineering notation138.321 × 10^3

In other bases

Ternary21000202000base 3; the most digit-efficient integer base after e: 11 digits
Quinary13411241base 5; one hand: 8 digits
Septenary1114161base 7: 7 digits
Nonary230660base 9; each digit is two ternary digits: 6 digits
Duodecimal68069base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimalh5g1base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal38:25:21base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T1001T1T000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100110110001010001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000000100001110001010001
Bit length18 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits11within that length
Bit parityodd7 set bits, so odd; 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 1c 51
Gray code110001001001111001n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000000100001110001010001
64-bit0000000000000000000000000000000000000000000000100001110001010001
One's complement11111111111111011110001110101110at 32 bits, every bit flipped
Bits reversed10001010001110000100000000000000at 32 bits
Rotated left by 100000000000001000011100010100010at 32 bits, wrapping
Shifted left by 11000011100010100010= 276,642, no wrap
Shifted right by 110000111000101000= 69,160, discarding the low bit
These bits as a double6.83396542 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime138,323+2
Previous prime138,319−2
Distance to nearest prime2
Nearest square below137,641
Nearest square above138,384

Powers & multiples

138,321 to the power 219,132,699,041
138,321 to the power 32,646,454,064,050,161
138,321 to the power 4366,060,172,593,482,319,681
138,321 to the power 550,633,809,133,303,067,940,595,601
First ten multiples138,321, 276,642, 414,963, 553,284, 691,605, 829,926, 968,247, 1,106,568, 1,244,889, 1,383,210
Powers of twoBetween 2^17 (131,072) and 2^18 (262,144)

Divisibility tests

Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 3
Divisible by 7No, remainder 1
Divisible by 8No, remainder 1
Divisible by 9Yes
Divisible by 10No, remainder 1
Divisible by 11No, remainder 7
Divisible by 12No, remainder 9
Divisible by 100No, remainder 21

Collatz (3n + 1) trajectory

Steps to reach 1113the total stopping time
Highest value reached414,9643× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps138,321 → 414,964 → 207,482 → 103,741 → 311,224 → 155,612 → 77,806 → 38,903 → 116,710 → 58,355 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage13,832,100%
138,321% as a decimal1,383.21
138,321% of 100138,321
138,321% of 1,0001,383,210
As a fraction of 100138,321/100

Read another way

As seconds1 day, 14 hours and 25 minutes
As bytes135.079 KiB
As a 24-bit colour#021C51

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Neighbouring numbers

Nearby primes

Also reads as

#138321 (colour)

  • #138321
  • Green
  • Dark
  • Nearest: Forest green

#138321 is a green with RGB values 19, 131, 33 and HSL 128°, 75%, 29%. It is a dark colour, so white text on it reaches 4.9:1 contrast (AA for normal text). The nearest named colour is Forest green.

Open this reading on its own page →

Colour values

#138321#138321
HEX#138321
RGBrgb(19, 131, 33)
RGB (0–1)0.0745, 0.5137, 0.1294
RGB percentages7.5%, 51.4%, 12.9%
HSLhsl(127.5, 74.7%, 29.4%)
HSV / HSBhsv(127.5, 85.5%, 51.4%)
CMYK85.5%, 0%, 74.8%, 48.6%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,278,753
CSS custom property--colour: #138321;

Brightness & contrast

Relative luminance0.16481WCAG 2.x, 0 is black and 1 is white
Perceived brightness101.5 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 4.89:1
Contrast with white4.89:1WCAG normal text: AA
Contrast with black4.3:1WCAG normal text: Fail
Greyscale equivalent#646464
Inverted#EC7CDE

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#867610no red cones; affects about 1% of men; ΔE 46 from the original
Deuteranopia#7A6E2Bno green cones; the most common form, about 1% of men; ΔE 45.3 from the original
Tritanopia#007F70no blue cones; rare, and affects men and women equally; ΔE 45.4 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text4.89:1WCAG large text: AAA
Contrast with black, large text4.3:1WCAG large text: AA

Named colours

Forest green · ΔE 4.1Green · ΔE 8.2Dark green · ΔE 12.8Olivedrab · ΔE 23.3Sea green · ΔE 24.5Medium seagreen · ΔE 25.2
Nearest named CSS colourForest green (#228B22)ΔE 4.08, a close match
Hue familygreen
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#831375
Analogous#3D8313, #138359
Triadic#211383, #832113
Split complementary#591383, #83133D
Tetradic#133D83, #831375, #835913

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#77EB85
Lighter +30%#4AE55E
Lighter +20%#20DC37
Lighter +10%#19B02C
Darker −10%#0D5616
Darker −20%#062A0B
Darker −30%#000000
Darker −40%#000000
More saturated +25%#009613
Less saturated −25%#26702F

Channel breakdown

R19
G131
B33
Red19 (7.5%)
Green131 (51.4%)
Blue33 (12.9%)
Hue127.5°
Saturation (HSL)74.67%
Lightness29.41%
Dominant channelGreen
Hex per channelR 13 · G 83 · B 21

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Every value on this page was computed from “138321” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.