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Number

400,073

  • Positive
  • Odd
  • Composite
  • 6 digits

400,073 is an odd 6-digit integer and a composite number. It has 4 divisors and a digital root of 5.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value400,073
Digit count6
Digit sum14
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation107 × 3,739
Distinct prime factors2107, 3,739
Number of divisors4
Sum of divisors σ(n)403,920
Aliquot sum3,847sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)396,228integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 107, 3,739, 400,0734 in total

Arithmetic

Previous number400,072
Next number400,074
Double800,146
Half200,036.5
Square160,058,405,329
Cube64,035,046,395,189,017
Square root632.513240968≈irrational, shown to 9 decimal places
Cube root73.685111938≈
Negation-400,073
Reciprocal0.0000024995≈

Representations

Decimal400,073
Binary110000110101100100119 bits
Octal1415311
Hexadecimal61AC9
Base 368KP5
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred thousand and seventy-three
Ordinalfour hundred thousand and seventy-third
Scientific notation4.00073 × 10^5
Engineering notation400.073 × 10^3

Nearest landmarks

Next prime400,087+14
Previous prime400,069−4
Distance to nearest prime4
Nearest square below399,424
Nearest square above400,689

Powers & multiples

400,073 to the power 2160,058,405,329
400,073 to the power 364,035,046,395,189,017
400,073 to the power 425,618,693,116,462,455,598,241
400,073 to the power 510,249,347,411,182,483,998,555,071,593
First ten multiples400,073, 800,146, 1,200,219, 1,600,292, 2,000,365, 2,400,438, 2,800,511, 3,200,584, 3,600,657, 4,000,730
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)

Divisibility tests

Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 5
Divisible by 7No, remainder 2
Divisible by 8No, remainder 1
Divisible by 9No, remainder 5
Divisible by 10No, remainder 3
Divisible by 11No, remainder 3
Divisible by 12No, remainder 5
Divisible by 100No, remainder 73

Collatz (3n + 1) trajectory

Steps to reach 191the total stopping time
Highest value reached2,025,3765× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps400,073 → 1,200,220 → 600,110 → 300,055 → 900,166 → 450,083 → 1,350,250 → 675,125 → 2,025,376 → 1,012,688 → …
Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage40,007,300%
400,073% as a decimal4,000.73
400,073% of 100400,073
400,073% of 1,0004,000,730
As a fraction of 100400,073/100

Read another way

As seconds4 days, 15 hours and 7 minutes
As bytes390.696 KiB
As a 24-bit colour#061AC9

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Neighbouring numbers

Nearby primes

Also reads as

#400073 (colour)

  • #400073
  • Violet
  • Dark
  • Nearest: Indigo

#400073 is a violet with RGB values 64, 0, 115 and HSL 273°, 100%, 23%. It is a dark colour, so white text on it reaches 14.3:1 contrast (AAA for normal text). The nearest named colour is Indigo.

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Colour values

#400073#400073
HEX#400073
RGBrgb(64, 0, 115)
RGB (0–1)0.251, 0, 0.451
RGB percentages25.1%, 0%, 45.1%
HSLhsl(273.4, 100%, 22.5%)
HSV / HSBhsv(273.4, 100%, 45.1%)
CMYK44.3%, 100%, 0%, 54.9%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,194,419
CSS custom property--colour: #400073;

Brightness & contrast

Relative luminance0.02328WCAG 2.x, 0 is black and 1 is white
Perceived brightness52.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 14.33:1
Contrast with white14.33:1WCAG normal text: AAA
Contrast with black1.47:1WCAG normal text: Fail
Greyscale equivalent#161616
Inverted#BFFF8C

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#002A76no red cones; affects about 1% of men; ΔE 26.8 from the original
Deuteranopia#002971no green cones; the most common form, about 1% of men; ΔE 28.4 from the original
Tritanopia#342841no blue cones; rare, and affects men and women equally; ΔE 50.3 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text14.33:1WCAG large text: AAA
Contrast with black, large text1.47:1WCAG large text: Fail

Named colours

Indigo · ΔE 6.9Midnight blue · ΔE 15.5Navy · ΔE 16Rebecca purple · ΔE 16.5Dark blue · ΔE 19.8Purple · ΔE 21.5
Nearest named CSS colourIndigo (#4B0082)ΔE 6.93, clearly different but related
Hue familyviolet
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#337300
Analogous#070073, #73006C
Triadic#734000, #007340
Split complementary#6C7300, #007307
Tetradic#730700, #337300, #006C73

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#AA40FF
Lighter +30%#940DFF
Lighter +20%#7900D9
Lighter +10%#5C00A6
Darker −10%#240040
Darker −20%#07000D
Darker −30%#000000
Darker −40%#000000
More saturated +25%#400073
Less saturated −25%#3E0E65

Channel breakdown

R64
G0
B115
Red64 (25.1%)
Green0 (0%)
Blue115 (45.1%)
Hue273.39°
Saturation (HSL)100%
Lightness22.55%
Dominant channelBlue
Hex per channelR 40 · G 00 · B 73

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Every value on this page was computed from “400073” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.