Recognised as Number
137,423
- Positive
- Odd
- Composite
- 6 digits
137,423 is an odd 6-digit integer and a composite number. It has 12 divisors and a digital root of 2.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value137,423
Digit count6
Digit sum20
Digit product504
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation11 × 13 × 31^2
Distinct prime factors311, 13, 31
Number of divisors12
Sum of divisors σ(n)166,824
Aliquot sum29,401sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)111,600integers below n that share no factor with it
Carmichael function λ(n)1,860the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 111,600
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 11, 13, 31, 143, 341, 403, 961, 4,433, 10,571, 12,493, 137,42312 in total
Arithmetic
Representations
Decimal137,423
Binary10000110001100111118 bits
Octal414317
Hexadecimal218CF
Base 362Y1B
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred and thirty-seven thousand, four hundred and twenty-three
Ordinalone hundred and thirty-seven thousand, four hundred and twenty-third
Scientific notation1.37423 × 10^5
Engineering notation137.423 × 10^3
In other bases
Ternary20222111202base 3; the most digit-efficient integer base after e: 11 digits
Quinary13344143base 5; one hand: 8 digits
Septenary1111436base 7: 7 digits
Nonary228452base 9; each digit is two ternary digits: 6 digits
Duodecimal6763bbase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimalh3b3base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal38:10:23base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T1000TTTT1Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100110100111010011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000000100001100011001111
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 18 cf
Gray code110001010010101000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000000100001100011001111
64-bit0000000000000000000000000000000000000000000000100001100011001111
One's complement11111111111111011110011100110000at 32 bits, every bit flipped
Bits reversed11110011000110000100000000000000at 32 bits
Rotated left by 100000000000001000011000110011110at 32 bits, wrapping
Shifted left by 11000011000110011110= 274,846, no wrap
Shifted right by 110000110001100111= 68,711, discarding the low bit
These bits as a double6.78959832 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
137,423 to the power 218,885,080,929
137,423 to the power 32,595,244,476,505,967
137,423 to the power 4356,646,281,694,879,503,041
137,423 to the power 549,011,401,969,355,425,946,403,343
First ten multiples137,423, 274,846, 412,269, 549,692, 687,115, 824,538, 961,961, 1,099,384, 1,236,807, 1,374,230
Powers of twoBetween 2^17 (131,072) and 2^18 (262,144)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 3
Divisible by 5No, remainder 3
Divisible by 6No, remainder 5
Divisible by 7No, remainder 6
Divisible by 8No, remainder 7
Divisible by 9No, remainder 2
Divisible by 10No, remainder 3
Divisible by 11Yes
Divisible by 12No, remainder 11
Divisible by 100No, remainder 23
Collatz (3n + 1) trajectory
Steps to reach 1237the total stopping time
Highest value reached11,283,28082× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps137,423 → 412,270 → 206,135 → 618,406 → 309,203 → 927,610 → 463,805 → 1,391,416 → 695,708 → 347,854 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage13,742,300%
137,423% as a decimal1,374.23
137,423% of 100137,423
137,423% of 1,0001,374,230
As a fraction of 100137,423/100
Read another way
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Derived from 137,423
Also reads as
#137423 (colour)
- #137423
- Green
- Dark
- Nearest: Dark green
#137423 is a green with RGB values 19, 116, 35 and HSL 130°, 72%, 26%. It is a dark colour, so white text on it reaches 5.9:1 contrast (AA for normal text). The nearest named colour is Dark green.
Colour values
#137423#137423
HEX#137423
RGBrgb(19, 116, 35)
RGB (0–1)0.0745, 0.4549, 0.1373
RGB percentages7.5%, 45.5%, 13.7%
HSLhsl(129.9, 71.9%, 26.5%)
HSV / HSBhsv(129.9, 83.6%, 45.5%)
CMYK83.6%, 0%, 69.8%, 54.5%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,274,915
CSS custom property--colour: #137423;
Brightness & contrast
Relative luminance0.12751WCAG 2.x, 0 is black and 1 is white
Perceived brightness90.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 5.92:1
Contrast with white5.92:1WCAG normal text: AA
Contrast with black3.55:1WCAG normal text: Fail
Greyscale equivalent#5A5A5A
Inverted#EC8BDC
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text5.92:1WCAG large text: AAA
Contrast with black, large text3.55:1WCAG large text: AA
Named colours
Hue familygreen
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#741364
Analogous#347413, #137453
Triadic#231374, #742313
Split complementary#531374, #741334
Tetradic#133474, #741364, #745313
Tints, shades & saturation
Channel breakdown
R19
G116
B35
Red19 (7.5%)
Green116 (45.5%)
Blue35 (13.7%)
Hue129.9°
Saturation (HSL)71.85%
Lightness26.47%
Dominant channelGreen
Hex per channelR 13 · G 74 · B 23
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Harmonies
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