Number
137
- Positive
- Odd
- Prime
- 3 digits
137 is an odd 3-digit integer and a prime number. It has 2 divisors and a digital root of 2.
The canonical address for this page is /137.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value137
Digit count3
Digit sum11
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation137
Distinct prime factors1137
Number of divisors2
Sum of divisors σ(n)138
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)136integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 1372 in total
Arithmetic
Representations
Decimal137
Binary100010018 bits
Octal211
Hexadecimal89
Base 363T
Roman numeralCXXXVII
In wordsone hundred and thirty-seven
Ordinalone hundred and thirty-seventh
Scientific notation1.37 × 10^2
Engineering notation137
Nearest landmarks
Powers & multiples
137 to the power 218,769
137 to the power 32,571,353
137 to the power 4352,275,361
137 to the power 548,261,724,457
First ten multiples137, 274, 411, 548, 685, 822, 959, 1,096, 1,233, 1,370
Powers of twoBetween 2^7 (128) and 2^8 (256)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 2
Divisible by 6No, remainder 5
Divisible by 7No, remainder 4
Divisible by 8No, remainder 1
Divisible by 9No, remainder 2
Divisible by 10No, remainder 7
Divisible by 11No, remainder 5
Divisible by 12No, remainder 5
Divisible by 100No, remainder 37
Collatz (3n + 1) trajectory
Steps to reach 190the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps137 → 412 → 206 → 103 → 310 → 155 → 466 → 233 → 700 → 350 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage13,700%
137% as a decimal1.37
137% of 100137
137% of 1,0001,370
As a fraction of 100137/100
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Derived from 137
Other readings
Also reads as
#000137 (colour)
- #000137
- Blue
- Dark
- Nearest: Midnight blue
#000137 is a blue with RGB values 0, 1, 55 and HSL 239°, 100%, 11%. It is a dark colour, so white text on it reaches 19.8:1 contrast (AAA for normal text). The nearest named colour is Midnight blue.
Colour values
#000137#000137
HEX#000137
RGBrgb(0, 1, 55)
RGB (0–1)0, 0.0039, 0.2157
RGB percentages0%, 0.4%, 21.6%
HSLhsl(238.9, 100%, 10.8%)
HSV / HSBhsv(238.9, 100%, 21.6%)
CMYK100%, 98.2%, 0%, 78.4%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer311
CSS custom property--colour: #000137;
Brightness & contrast
Relative luminance0.00298WCAG 2.x, 0 is black and 1 is white
Perceived brightness18.6 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 19.82:1
Contrast with white19.82:1WCAG normal text: AAA
Contrast with black1.06:1WCAG normal text: Fail
Greyscale equivalent#050505
Inverted#FFFEC8
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text19.82:1WCAG large text: AAA
Contrast with black, large text1.06:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#373600
Analogous#001D37, #1A0037
Triadic#370001, #013700
Split complementary#371A00, #1D3700
Tetradic#37001D, #373600, #00371A
Tints, shades & saturation
Channel breakdown
R0
G1
B55
Red0 (0%)
Green1 (0.4%)
Blue55 (21.6%)
Hue238.91°
Saturation (HSL)100%
Lightness10.78%
Dominant channelBlue
Hex per channelR 00 · G 01 · B 37
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Harmonies
Similar named colours
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