Recognised as Number
139
- Positive
- Odd
- Prime
- 3 digits
139 is an odd 3-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 value139
Digit count3
Digit sum13
Digit product27
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation139
Distinct prime factors1139
Number of divisors2
Sum of divisors σ(n)140
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)138integers below n that share no factor with it
Carmichael function λ(n)138the 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, 1392 in total
Arithmetic
Representations
Decimal139
Binary100010118 bits
Octal213
Hexadecimal8B
Base 363V
Roman numeralCXXXIX
In wordsone hundred and thirty-nine
Ordinalone hundred and thirty-ninth
Scientific notation1.39 × 10^2
Engineering notation139
In other bases
Ternary12011base 3; the most digit-efficient integer base after e: 5 digits
Quinary1024base 5; one hand: 4 digits
Septenary256base 7: 3 digits
Nonary164base 9; each digit is two ternary digits: 3 digits
Duodecimalb7base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 2 digits
Vigesimal6jbase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal2:19base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TT011digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110011111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
10001011
Bit length8 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits4within that length
Bit parityeven4 set bits, so even; not the same as the number itself being odd
Highest set bitbit 7worth 128
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes18b
Gray code11001110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
8-bit10001011
16-bit0000000010001011
32-bit00000000000000000000000010001011
64-bit0000000000000000000000000000000000000000000000000000000010001011
One's complement01110100at 8 bits, every bit flipped
Bits reversed11010001at 8 bits
Rotated left by 100010111at 8 bits, wrapping
Shifted left by 1100010110= 278, no wrap
Shifted right by 11000101= 69, discarding the low bit
These bits as a double6.86751248 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
139 to the power 219,321
139 to the power 32,685,619
139 to the power 4373,301,041
139 to the power 551,888,844,699
First ten multiples139, 278, 417, 556, 695, 834, 973, 1,112, 1,251, 1,390
Powers of twoBetween 2^7 (128) and 2^8 (256)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 3
Divisible by 5No, remainder 4
Divisible by 6No, remainder 1
Divisible by 7No, remainder 6
Divisible by 8No, remainder 3
Divisible by 9No, remainder 4
Divisible by 10No, remainder 9
Divisible by 11No, remainder 7
Divisible by 12No, remainder 7
Divisible by 100No, remainder 39
Collatz (3n + 1) trajectory
Steps to reach 141the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps139 → 418 → 209 → 628 → 314 → 157 → 472 → 236 → 118 → 59 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage13,900%
139% as a decimal1.39
139% of 100139
139% of 1,0001,390
As a fraction of 100139/100
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Derived from 139
Other readings
Also reads as
#113399 (colour)
- #113399
- Blue
- Dark
- Nearest: Midnight blue
#113399 is a blue with RGB values 17, 51, 153 and HSL 225°, 80%, 33%. It is a dark colour, so white text on it reaches 10.7:1 contrast (AAA for normal text). The nearest named colour is Midnight blue.
Colour values
#113399#113399
HEX#113399
HEX (short)#139
RGBrgb(17, 51, 153)
RGB (0–1)0.0667, 0.2, 0.6
RGB percentages6.7%, 20%, 60%
HSLhsl(225, 80%, 33.3%)
HSV / HSBhsv(225, 88.9%, 60%)
CMYK88.9%, 66.7%, 0%, 40%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,127,321
CSS custom property--colour: #113399;
Brightness & contrast
Relative luminance0.04787WCAG 2.x, 0 is black and 1 is white
Perceived brightness65.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 10.73:1
Contrast with white10.73:1WCAG normal text: AAA
Contrast with black1.96:1WCAG normal text: Fail
Greyscale equivalent#333333
Inverted#EECC66
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text10.73:1WCAG large text: AAA
Contrast with black, large text1.96:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#997711
Analogous#117799, #331199
Triadic#991133, #339911
Split complementary#993311, #779911
Tetradic#991177, #997711, #119933
Tints, shades & saturation
Channel breakdown
R17
G51
B153
Red17 (6.7%)
Green51 (20%)
Blue153 (60%)
Hue225°
Saturation (HSL)80%
Lightness33.33%
Dominant channelBlue
Hex per channelR 11 · G 33 · B 99
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Harmonies
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