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Number

448

  • Positive
  • Even
  • Composite
  • 3 digits

448 is an even 3-digit integer and a composite number. It has 14 divisors and a digital root of 7.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value448
Digit count3
Digit sum16
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^6 × 7
Distinct prime factors22, 7
Number of divisors14
Sum of divisors σ(n)1,016
Aliquot sum568sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)192integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 44814 in total

Arithmetic

Previous number447
Next number449
Double896
Half224
Square200,704
Square root21.166010489irrational, shown to 9 decimal places
Cube root7.651724731
Negation-448
Reciprocal0.0022321429
448 factorial8578909839706175002943395922319125957326… (995 digits)

Representations

Decimal448
Binary1110000009 bits
Octal700
Hexadecimal1C0
Base 36CG
Roman numeralCDXLVIII
In wordsfour hundred and forty-eight
Ordinalfour hundred and forty-eighth
Scientific notation4.48 × 10^2
Engineering notation448

Nearest landmarks

Next prime449+1
Previous prime443−5
Distance to nearest prime1
Nearest square below441
Nearest square above484

Powers & multiples

448 to the power 2200,704
448 to the power 389,915,392
448 to the power 440,282,095,616
448 to the power 518,046,378,835,968
First ten multiples448, 896, 1,344, 1,792, 2,240, 2,688, 3,136, 3,584, 4,032, 4,480
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 3
Divisible by 6No, remainder 4
Divisible by 7Yes
Divisible by 8Yes
Divisible by 9No, remainder 7
Divisible by 10No, remainder 8
Divisible by 11No, remainder 8
Divisible by 12No, remainder 4
Divisible by 100No, remainder 48

Collatz (3n + 1) trajectory

Steps to reach 122the total stopping time
Highest value reached448
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps448 → 224 → 112 → 56 → 28 → 14 → 7 → 22 → 11 → 34 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage44,800%
448% as a decimal4.48
448% of 100448
448% of 1,0004,480
As a fraction of 100448/100

Read another way

As bytes448 B
As a 24-bit colour#0001C0

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Also reads as

#444488 (colour)

  • #444488
  • Blue
  • Dark
  • Nearest: Dark slateblue

#444488 is a blue with RGB values 68, 68, 136 and HSL 240°, 33%, 40%. It is a dark colour, so white text on it reaches 8.6:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.

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Colour values

#444488#444488
HEX#444488
HEX (short)#448
RGBrgb(68, 68, 136)
RGB (0–1)0.2667, 0.2667, 0.5333
RGB percentages26.7%, 26.7%, 53.3%
HSLhsl(240, 33.3%, 40%)
HSV / HSBhsv(240, 50%, 53.3%)
CMYK50%, 50%, 0%, 46.7%naive device-independent conversion; real print needs an ICC profile
24-bit integer4,473,992
CSS custom property--colour: #444488;

Brightness & contrast

Relative luminance0.07141WCAG 2.x, 0 is black and 1 is white
Perceived brightness78.8 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 8.65:1
Contrast with white8.65:1WCAG normal text: AAA
Contrast with black2.43:1WCAG normal text: Fail
Greyscale equivalent#494949
Inverted#BBBB77

Colour vision & accessibility

Protanopia#264E8Ano red cones; affects about 1% of men; ΔE 12.2 from the original
Deuteranopia#214987no green cones; the most common form, about 1% of men; ΔE 10.7 from the original
Tritanopia#2B535Fno blue cones; rare, and affects men and women equally; ΔE 40.2 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text8.65:1WCAG large text: AAA
Contrast with black, large text2.43:1WCAG large text: Fail

Named colours

Nearest named CSS colourDark slateblue (#483D8B)ΔE 7.69, clearly different but related
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#888844
Analogous#446688, #664488
Triadic#884444, #448844
Split complementary#886644, #668844
Tetradic#884466, #888844, #448866

Tints, shades & saturation

Lighter +40%#BBBBDD
Lighter +30%#9999CC
Lighter +20%#7777BB
Lighter +10%#5555AA
Darker −10%#333366
Darker −20%#222244
Darker −30%#111122
Darker −40%#000000
More saturated +25%#2B2BA2
Less saturated −25%#5E5E6F

Channel breakdown

R68
G68
B136
Red68 (26.7%)
Green68 (26.7%)
Blue136 (53.3%)
Hue240°
Saturation (HSL)33.33%
Lightness40%
Dominant channelBlue
Hex per channelR 44 · G 44 · B 88

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Every value on this page was computed from “448” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.