Recognised as Number
337,389
- Positive
- Odd
- Composite
- 6 digits
337,389 is an odd 6-digit integer and a composite number. It has 16 divisors and a digital root of 6.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value337,389
Digit count6
Digit sum33
Digit product13,608
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation3 × 13 × 41 × 211
Distinct prime factors43, 13, 41, 211
Number of divisors16
Sum of divisors σ(n)498,624
Aliquot sum161,235sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)201,600integers below n that share no factor with it
Carmichael function λ(n)840the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 201,600
Möbius function μ(n)+14 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 3, 13, 39, 41, 123, 211, 533, 633, 1,599, 2,743, 8,229, 8,651, 25,953, 112,463, 337,38916 in total
Arithmetic
Representations
Decimal337,389
Binary101001001011110110119 bits
Octal1222755
Hexadecimal525ED
Base 3678BX
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsthree hundred and thirty-seven thousand, three hundred and eighty-nine
Ordinalthree hundred and thirty-seven thousand, three hundred and eighty-ninth
Scientific notation3.37389 × 10^5
Engineering notation337.389 × 10^3
In other bases
Ternary122010210220base 3; the most digit-efficient integer base after e: 12 digits
Quinary41244024base 5; one hand: 8 digits
Septenary2603433base 7: 7 digits
Nonary563726base 9; each digit is two ternary digits: 6 digits
Duodecimal1432b9base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal22399base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal1:33:43:9base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T0T011T110T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1010111101000111101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000001010010010111101101
Bit length19 bitsto write the magnitude
Set bits11the population count, or Hamming weight
Zero bits8within that length
Bit parityodd11 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 18worth 262,144
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes305 25 ed
Gray code1111011011100011011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000001010010010111101101
64-bit0000000000000000000000000000000000000000000001010010010111101101
One's complement11111111111110101101101000010010at 32 bits, every bit flipped
Bits reversed10110111101001001010000000000000at 32 bits
Rotated left by 100000000000010100100101111011010at 32 bits, wrapping
Shifted left by 110100100101111011010= 674,778, no wrap
Shifted right by 1101001001011110110= 168,694, discarding the low bit
These bits as a double1.66692314 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
337,389 to the power 2113,831,337,321
337,389 to the power 338,405,441,067,394,869
337,389 to the power 412,957,573,356,287,287,457,041
337,389 to the power 54,371,742,717,104,411,627,843,605,949
First ten multiples337,389, 674,778, 1,012,167, 1,349,556, 1,686,945, 2,024,334, 2,361,723, 2,699,112, 3,036,501, 3,373,890
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 4
Divisible by 6No, remainder 3
Divisible by 7No, remainder 3
Divisible by 8No, remainder 5
Divisible by 9No, remainder 6
Divisible by 10No, remainder 9
Divisible by 11No, remainder 8
Divisible by 12No, remainder 9
Divisible by 100No, remainder 89
Collatz (3n + 1) trajectory
Steps to reach 183the total stopping time
Highest value reached1,012,1683× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps337,389 → 1,012,168 → 506,084 → 253,042 → 126,521 → 379,564 → 189,782 → 94,891 → 284,674 → 142,337 → …
Last steps… → 32 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage33,738,900%
337,389% as a decimal3,373.89
337,389% of 100337,389
337,389% of 1,0003,373,890
As a fraction of 100337,389/100
Read another way
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from 337,389
Also reads as
#337389 (colour)
- #337389
- Cyan
- Dark
- Nearest: Slate grey
#337389 is a cyan with RGB values 51, 115, 137 and HSL 195°, 46%, 37%. It is a dark colour, so white text on it reaches 5.3:1 contrast (AA for normal text). The nearest named colour is Slate grey.
Colour values
#337389#337389
HEX#337389
RGBrgb(51, 115, 137)
RGB (0–1)0.2, 0.451, 0.5373
RGB percentages20%, 45.1%, 53.7%
HSLhsl(195.3, 45.7%, 36.9%)
HSV / HSBhsv(195.3, 62.8%, 53.7%)
CMYK62.8%, 16.1%, 0%, 46.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer3,371,913
CSS custom property--colour: #337389;
Brightness & contrast
Relative luminance0.14771WCAG 2.x, 0 is black and 1 is white
Perceived brightness103.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 5.31:1
Contrast with white5.31:1WCAG normal text: AA
Contrast with black3.95:1WCAG normal text: Fail
Greyscale equivalent#676767
Inverted#CC8C76
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text5.31:1WCAG large text: AAA
Contrast with black, large text3.95:1WCAG large text: AA
Named colours
Hue familycyan
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#894933
Analogous#338974, #334889
Triadic#893373, #738933
Split complementary#893348, #897433
Tetradic#743389, #894933, #488933
Tints, shades & saturation
Channel breakdown
R51
G115
B137
Red51 (20%)
Green115 (45.1%)
Blue137 (53.7%)
Hue195.35°
Saturation (HSL)45.74%
Lightness36.86%
Dominant channelBlue
Hex per channelR 33 · G 73 · B 89
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Harmonies
Similar named colours
Nerdulate something else
Nothing in mind? Surprise me · today’s page