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Number

400,002

  • Positive
  • Even
  • Composite
  • 6 digits

400,002 is an even 6-digit integer and a composite number. It has 16 divisors and a digital root of 6.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value400,002
Digit count6
Digit sum6
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 3 × 163 × 409
Distinct prime factors42, 3, 163, 409
Number of divisors16
Sum of divisors σ(n)806,880
Aliquot sum406,878sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)132,192integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 2, 3, 6, 163, 326, 409, 489, 818, 978, 1,227, 2,454, 66,667, 133,334, 200,001, 400,00216 in total

Arithmetic

Previous number400,001
Next number400,003
Double800,004
Cube64,000,960,004,800,008
Square root632.457113171irrational, shown to 9 decimal places
Cube root73.680752774
Negation-400,002
Reciprocal0.0000025

Representations

Decimal400,002
Binary110000110101000001019 bits
Octal1415202
Hexadecimal61A82
Base 368KN6
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred thousand and two
Ordinalfour hundred thousand and second
Scientific notation4.00002 × 10^5
Engineering notation400.002 × 10^3

Nearest landmarks

Next prime400,009+7
Previous prime399,989−13
Distance to nearest prime7
Nearest square below399,424
Nearest square above400,689

Powers & multiples

400,002 to the power 2160,001,600,004
400,002 to the power 364,000,960,004,800,008
400,002 to the power 425,600,512,003,840,012,800,016
400,002 to the power 510,240,256,002,560,012,800,032,000,032
First ten multiples400,002, 800,004, 1,200,006, 1,600,008, 2,000,010, 2,400,012, 2,800,014, 3,200,016, 3,600,018, 4,000,020
Powers of twoBetween 2^18 (262,144) and 2^19 (524,288)

Divisibility tests

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

Collatz (3n + 1) trajectory

Steps to reach 1161the total stopping time
Highest value reached600,0041× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps400,002 → 200,001 → 600,004 → 300,002 → 150,001 → 450,004 → 225,002 → 112,501 → 337,504 → 168,752 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage40,000,200%
400,002% as a decimal4,000.02
400,002% of 100400,002
400,002% of 1,0004,000,020
As a fraction of 100400,002/100

Read another way

As bytes390.627 KiB
As a 24-bit colour#061A82

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Also reads as

#400002 (colour)

  • #400002
  • Red
  • Dark
  • Nearest: Maroon

#400002 is a red with RGB values 64, 0, 2 and HSL 358°, 100%, 13%. It is a dark colour, so white text on it reaches 17.2:1 contrast (AAA for normal text). The nearest named colour is Maroon.

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Colour values

#400002#400002
HEX#400002
RGBrgb(64, 0, 2)
RGB (0–1)0.251, 0, 0.0078
RGB percentages25.1%, 0%, 0.8%
HSLhsl(358.1, 100%, 12.5%)
HSV / HSBhsv(358.1, 100%, 25.1%)
CMYK0%, 100%, 96.9%, 74.9%naive device-independent conversion; real print needs an ICC profile
24-bit integer4,194,306
CSS custom property--colour: #400002;

Brightness & contrast

Relative luminance0.01094WCAG 2.x, 0 is black and 1 is white
Perceived brightness35 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 17.23:1
Contrast with white17.23:1WCAG normal text: AAA
Contrast with black1.22:1WCAG normal text: Fail
Greyscale equivalent#0E0E0E
Inverted#BFFFFD

Colour vision & accessibility

Protanopia#151201no red cones; affects about 1% of men; ΔE 32.3 from the original
Deuteranopia#252000no green cones; the most common form, about 1% of men; ΔE 32.4 from the original
Tritanopia#480001no blue cones; rare, and affects men and women equally; ΔE 4.8 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text17.23:1WCAG large text: AAA
Contrast with black, large text1.22:1WCAG large text: Fail

Named colours

Nearest named CSS colourMaroon (#800000)ΔE 33.63, a distinctly different colour
Hue familyred
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#00403E
Analogous#400022, #401E00
Triadic#024000, #000240
Split complementary#00401E, #002240
Tetradic#224000, #00403E, #1E0040

Tints, shades & saturation

Lighter +40%#FF0D15
Lighter +30%#D90007
Lighter +20%#A60005
Lighter +10%#730004
Darker −10%#0D0000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#400002
Less saturated −25%#38080A

Channel breakdown

R64
G0
B2
Red64 (25.1%)
Green0 (0%)
Blue2 (0.8%)
Hue358.13°
Saturation (HSL)100%
Lightness12.55%
Dominant channelRed
Hex per channelR 40 · G 00 · B 02

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Every value on this page was computed from “400002” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.