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Recognised as Number

138,013

  • Positive
  • Odd
  • Composite
  • 6 digits

138,013 is an odd 6-digit integer and a composite number. It has 4 divisors and a digital root of 7.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value138,013
Digit count6
Digit sum16
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation79 × 1,747
Distinct prime factors279, 1,747
Number of divisors4
Sum of divisors σ(n)139,840
Aliquot sum1,827sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)136,188integers below n that share no factor with it
Carmichael function λ(n)22,698the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 136,188
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 79, 1,747, 138,0134 in total

Arithmetic

Previous number138,012
Next number138,014
Double276,026
Half69,006.5
Square19,047,588,169
Cube2,628,814,785,968,197
Square root371.50100942≈irrational, shown to 9 decimal places
Cube root51.678115164≈
Negation-138,013
Reciprocal0.0000072457≈

Representations

Decimal138,013
Binary10000110110001110118 bits
Octal415435
Hexadecimal21B1D
Base 362YHP
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred and thirty-eight thousand and thirteen
Ordinalone hundred and thirty-eight thousand and thirteenth
Scientific notation1.38013 × 10^5
Engineering notation138.013 × 10^3

In other bases

Ternary21000022121base 3; the most digit-efficient integer base after e: 11 digits
Quinary13404023base 5; one hand: 8 digits
Septenary1113241base 7: 7 digits
Nonary230277base 9; each digit is two ternary digits: 6 digits
Duodecimal67a51base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimalh50dbase 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal38:20:13base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T1000100TT1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100110111101101101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000000100001101100011101
Bit length18 bitsto write the magnitude
Set bits9the population count, or Hamming weight
Zero bits9within that length
Bit parityodd9 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 1b 1d
Gray code110001011010010011n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000000100001101100011101
64-bit0000000000000000000000000000000000000000000000100001101100011101
One's complement11111111111111011110010011100010at 32 bits, every bit flipped
Bits reversed10111000110110000100000000000000at 32 bits
Rotated left by 100000000000001000011011000111010at 32 bits, wrapping
Shifted left by 11000011011000111010= 276,026, no wrap
Shifted right by 110000110110001110= 69,006, discarding the low bit
These bits as a double6.8187482 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime138,041+28
Previous prime138,007−6
Distance to nearest prime6
Nearest square below137,641
Nearest square above138,384

Powers & multiples

138,013 to the power 219,047,588,169
138,013 to the power 32,628,814,785,968,197
138,013 to the power 4362,810,615,055,828,772,561
138,013 to the power 550,072,581,415,700,096,387,461,293
First ten multiples138,013, 276,026, 414,039, 552,052, 690,065, 828,078, 966,091, 1,104,104, 1,242,117, 1,380,130
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 1
Divisible by 8No, remainder 5
Divisible by 9No, remainder 7
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 1175the total stopping time
Highest value reached1,276,9369× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps138,013 → 414,040 → 207,020 → 103,510 → 51,755 → 155,266 → 77,633 → 232,900 → 116,450 → 58,225 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage13,801,300%
138,013% as a decimal1,380.13
138,013% of 100138,013
138,013% of 1,0001,380,130
As a fraction of 100138,013/100

Read another way

As seconds1 day, 14 hours and 20 minutes
As bytes134.778 KiB
As a 24-bit colour#021B1D

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Neighbouring numbers

Nearby primes

Also reads as

#138013 (colour)

  • #138013
  • Green
  • Dark
  • Nearest: Forest green

#138013 is a green with RGB values 19, 128, 19 and HSL 120°, 74%, 29%. It is a dark colour, so white text on it reaches 5.1:1 contrast (AA for normal text). The nearest named colour is Forest green.

Open this reading on its own page →

Colour values

#138013#138013
HEX#138013
RGBrgb(19, 128, 19)
RGB (0–1)0.0745, 0.502, 0.0745
RGB percentages7.5%, 50.2%, 7.5%
HSLhsl(120, 74.1%, 28.8%)
HSV / HSBhsv(120, 85.2%, 50.2%)
CMYK85.2%, 0%, 85.2%, 49.8%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,277,971
CSS custom property--colour: #138013;

Brightness & contrast

Relative luminance0.15624WCAG 2.x, 0 is black and 1 is white
Perceived brightness98.8 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 5.09:1
Contrast with white5.09:1WCAG normal text: AA
Contrast with black4.12:1WCAG normal text: Fail
Greyscale equivalent#616161
Inverted#EC7FEC

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#837300no red cones; affects about 1% of men; ΔE 45.7 from the original
Deuteranopia#786B21no green cones; the most common form, about 1% of men; ΔE 45.5 from the original
Tritanopia#007C6Cno blue cones; rare, and affects men and women equally; ΔE 48.2 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text5.09:1WCAG large text: AAA
Contrast with black, large text4.12:1WCAG large text: AA

Named colours

Forest green · ΔE 4.2Green · ΔE 4.7Dark green · ΔE 12.5Olivedrab · ΔE 22.8Sea green · ΔE 28.1Medium seagreen · ΔE 28.7
Nearest named CSS colourForest green (#228B22)ΔE 4.24, a close match
Hue familygreen
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#801380
Analogous#4A8013, #13804A
Triadic#131380, #801313
Split complementary#4A1380, #80134A
Tetradic#134A80, #801380, #804A13

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#75EA75
Lighter +30%#48E448
Lighter +20%#20D920
Lighter +10%#1AAC1A
Darker −10%#0C540C
Darker −20%#062706
Darker −30%#000000
Darker −40%#000000
More saturated +25%#019201
Less saturated −25%#256E25

Channel breakdown

R19
G128
B19
Red19 (7.5%)
Green128 (50.2%)
Blue19 (7.5%)
Hue120°
Saturation (HSL)74.15%
Lightness28.82%
Dominant channelGreen
Hex per channelR 13 · G 80 · B 13

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