Recognised as Number
424
- Positive
- Even
- Composite
- 3 digits
424 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 value424
Digit count3
Digit sum10
Digit product32
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicYesreads the same backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^3 × 53
Distinct prime factors22, 53
Number of divisors8
Sum of divisors σ(n)810
Aliquot sum386sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)208integers below n that share no factor with it
Carmichael function λ(n)52the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 208
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 53, 106, 212, 4248 in total
Arithmetic
Representations
Decimal424
Binary1101010009 bits
Octal650
Hexadecimal1A8
Base 36BS
Roman numeralCDXXIV
In wordsfour hundred and twenty-four
Ordinalfour hundred and twenty-fourth
Scientific notation4.24 × 10^2
Engineering notation424
In other bases
Ternary120201base 3; the most digit-efficient integer base after e: 6 digits
Quinary3144base 5; one hand: 4 digits
Septenary1144base 7: 4 digits
Nonary521base 9; each digit is two ternary digits: 3 digits
Duodecimal2b4base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal114base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal7:4base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TT1T01digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11011111000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000000110101000
Bit length9 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits5within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 8worth 256
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes201 a8
Gray code101111100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000000110101000
32-bit00000000000000000000000110101000
64-bit0000000000000000000000000000000000000000000000000000000110101000
One's complement1111111001010111at 16 bits, every bit flipped
Bits reversed0001010110000000at 16 bits
Rotated left by 10000001101010000at 16 bits, wrapping
Shifted left by 11101010000= 848, no wrap
Shifted right by 111010100= 212, discarding the low bit
These bits as a double2.09483834 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
424 to the power 2179,776
424 to the power 376,225,024
424 to the power 432,319,410,176
424 to the power 513,703,429,914,624
First ten multiples424, 848, 1,272, 1,696, 2,120, 2,544, 2,968, 3,392, 3,816, 4,240
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 4
Divisible by 6No, remainder 4
Divisible by 7No, remainder 4
Divisible by 8Yes
Divisible by 9No, remainder 1
Divisible by 10No, remainder 4
Divisible by 11No, remainder 6
Divisible by 12No, remainder 4
Divisible by 100No, remainder 24
Collatz (3n + 1) trajectory
Steps to reach 114the total stopping time
Highest value reached424
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps424 → 212 → 106 → 53 → 160 → 80 → 40 → 20 → 10 → 5 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage42,400%
424% as a decimal4.24
424% of 100424
424% of 1,0004,240
As a fraction of 100424/100
Read another way
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from 424
Other readings
Also reads as
#442244 (colour)
- #442244
- Magenta
- Dark
- Nearest: Dark slateblue
#442244 is a magenta with RGB values 68, 34, 68 and HSL 300°, 33%, 20%. It is a dark colour, so white text on it reaches 13.5:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.
Colour values
#442244#442244
HEX#442244
HEX (short)#424
RGBrgb(68, 34, 68)
RGB (0–1)0.2667, 0.1333, 0.2667
RGB percentages26.7%, 13.3%, 26.7%
HSLhsl(300, 33.3%, 20%)
HSV / HSBhsv(300, 50%, 26.7%)
CMYK0%, 50%, 0%, 73.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,465,220
CSS custom property--colour: #442244;
Brightness & contrast
Relative luminance0.0279WCAG 2.x, 0 is black and 1 is white
Perceived brightness50.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 13.48:1
Contrast with white13.48:1WCAG normal text: AAA
Contrast with black1.56:1WCAG normal text: Fail
Greyscale equivalent#2C2C2C
Inverted#BBDDBB
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text13.48:1WCAG large text: AAA
Contrast with black, large text1.56:1WCAG large text: Fail
Named colours
Hue familymagenta
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#224422
Analogous#332244, #442233
Triadic#444422, #224444
Split complementary#334422, #224433
Tetradic#443322, #224422, #223344
Tints, shades & saturation
Channel breakdown
R68
G34
B68
Red68 (26.7%)
Green34 (13.3%)
Blue68 (26.7%)
Hue300°
Saturation (HSL)33.33%
Lightness20%
Dominant channelRed and Blue
Hex per channelR 44 · G 22 · B 44
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Harmonies
Similar named colours
Also reads as
HTTP 424 Failed Dependency (http status)
- 424 Failed Dependency
- Client error
- RFC 4918
HTTP 424 Failed Dependency is a client error response: the request failed because an earlier one did (WebDAV). It is defined in RFC 4918, and the request was malformed or cannot be fulfilled as sent.
What it means
Status code424
Reason phraseFailed Dependencyadvisory only; clients must not depend on the wording
Class4xx Client error
MeaningThe request failed because an earlier one did (WebDAV)
Defined inRFC 4918
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
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Nerdulate something else
Nothing in mind? Surprise me · today’s page