Recognised as Number
406
- Positive
- Even
- Composite
- 3 digits
406 is an even 3-digit integer and a composite number. It has 8 divisors and a digital root of 1.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value406
Digit count3
Digit sum10
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Triangular numberYes, the 28th triangular number
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2 × 7 × 29
Distinct prime factors32, 7, 29
Number of divisors8
Sum of divisors σ(n)720
Aliquot sum314sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)168integers below n that share no factor with it
Carmichael function λ(n)84the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 168
Möbius function μ(n)−13 distinct prime factors, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 2, 7, 14, 29, 58, 203, 4068 in total
Arithmetic
Representations
Decimal406
Binary1100101109 bits
Octal626
Hexadecimal196
Base 36BA
Roman numeralCDVI
In wordsfour hundred and six
Ordinalfour hundred and sixth
Scientific notation4.06 × 10^2
Engineering notation406
In other bases
Ternary120001base 3; the most digit-efficient integer base after e: 6 digits
Quinary3111base 5; one hand: 4 digits
Septenary1120base 7: 4 digits
Nonary501base 9; each digit is two ternary digits: 3 digits
Duodecimal29abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal106base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal6:46base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TT0001digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11011101010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000000110010110
Bit length9 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits4within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 8worth 256
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes201 96
Gray code101011101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000000110010110
32-bit00000000000000000000000110010110
64-bit0000000000000000000000000000000000000000000000000000000110010110
One's complement1111111001101001at 16 bits, every bit flipped
Bits reversed0110100110000000at 16 bits
Rotated left by 10000001100101100at 16 bits, wrapping
Shifted left by 11100101100= 812, no wrap
Shifted right by 111001011= 203, discarding the low bit
These bits as a double2.00590652 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
406 to the power 2164,836
406 to the power 366,923,416
406 to the power 427,170,906,896
406 to the power 511,031,388,199,776
First ten multiples406, 812, 1,218, 1,624, 2,030, 2,436, 2,842, 3,248, 3,654, 4,060
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4No, remainder 2
Divisible by 5No, remainder 1
Divisible by 6No, remainder 4
Divisible by 7Yes
Divisible by 8No, remainder 6
Divisible by 9No, remainder 1
Divisible by 10No, remainder 6
Divisible by 11No, remainder 10
Divisible by 12No, remainder 10
Divisible by 100No, remainder 6
Collatz (3n + 1) trajectory
Steps to reach 140the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps406 → 203 → 610 → 305 → 916 → 458 → 229 → 688 → 344 → 172 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage40,600%
406% as a decimal4.06
406% of 100406
406% of 1,0004,060
As a fraction of 100406/100
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Derived from 406
Other readings
Also reads as
#440066 (colour)
- #440066
- Violet
- Dark
- Nearest: Indigo
#440066 is a violet with RGB values 68, 0, 102 and HSL 280°, 100%, 20%. It is a dark colour, so white text on it reaches 14.6:1 contrast (AAA for normal text). The nearest named colour is Indigo.
Colour values
#440066#440066
HEX#440066
HEX (short)#406
RGBrgb(68, 0, 102)
RGB (0–1)0.2667, 0, 0.4
RGB percentages26.7%, 0%, 40%
HSLhsl(280, 100%, 20%)
HSV / HSBhsv(280, 100%, 40%)
CMYK33.3%, 100%, 0%, 60%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,456,550
CSS custom property--colour: #440066;
Brightness & contrast
Relative luminance0.02188WCAG 2.x, 0 is black and 1 is white
Perceived brightness50.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 14.61:1
Contrast with white14.61:1WCAG normal text: AAA
Contrast with black1.44:1WCAG normal text: Fail
Greyscale equivalent#161616
Inverted#BBFF99
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text14.61:1WCAG large text: AAA
Contrast with black, large text1.44:1WCAG large text: Fail
Named colours
Hue familyviolet
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#226600
Analogous#110066, #660055
Triadic#664400, #006644
Split complementary#556600, #006611
Tetradic#661100, #226600, #005566
Tints, shades & saturation
Channel breakdown
R68
G0
B102
Red68 (26.7%)
Green0 (0%)
Blue102 (40%)
Hue280°
Saturation (HSL)100%
Lightness20%
Dominant channelBlue
Hex per channelR 44 · G 00 · B 66
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Harmonies
Similar named colours
Also reads as
HTTP 406 Not Acceptable (http status)
- 406 Not Acceptable
- Client error
- RFC 9110
HTTP 406 Not Acceptable is a client error response: no representation matches the client’s Accept headers. It is defined in RFC 9110, and the request was malformed or cannot be fulfilled as sent.
What it means
Status code406
Reason phraseNot Acceptableadvisory only; clients must not depend on the wording
Class4xx Client error
MeaningNo representation matches the client’s Accept headers
Defined inRFC 9110
Cacheable by defaultNoonly cacheable if the response says so explicitly
How clients behave
Indicates an errorYes
Whose faultThe request
Body expectedUsually
Safe to retry automaticallyNo
The 4xx class
Class meaningThe request was malformed or cannot be fulfilled as sent
Codes in this class29
Lowest in class400
Highest in class451
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