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Number

400,067

  • Positive
  • Odd
  • Prime
  • 6 digits

400,067 is an odd 6-digit integer and a prime number. It has 2 divisors and a digital root of 8.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value400,067
Digit count6
Digit sum17
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation400,067
Distinct prime factors1400,067
Number of divisors2
Sum of divisors σ(n)400,068
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)400,066integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 400,0672 in total

Arithmetic

Previous number400,066
Next number400,068
Double800,134
Half200,033.5
Square160,053,604,489
Cube64,032,165,387,100,763
Square root632.508497967≈irrational, shown to 9 decimal places
Cube root73.684743578≈
Negation-400,067
Reciprocal0.0000024996≈

Representations

Decimal400,067
Binary110000110101100001119 bits
Octal1415303
Hexadecimal61AC3
Base 368KOZ
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour hundred thousand and sixty-seven
Ordinalfour hundred thousand and sixty-seventh
Scientific notation4.00067 × 10^5
Engineering notation400.067 × 10^3

Nearest landmarks

Next prime400,069+2
Previous prime400,051−16
Distance to nearest prime0, it is prime
Nearest square below399,424
Nearest square above400,689

Powers & multiples

400,067 to the power 2160,053,604,489
400,067 to the power 364,032,165,387,100,763
400,067 to the power 425,617,156,309,921,240,951,121
400,067 to the power 510,248,578,873,441,261,103,592,125,107
First ten multiples400,067, 800,134, 1,200,201, 1,600,268, 2,000,335, 2,400,402, 2,800,469, 3,200,536, 3,600,603, 4,000,670
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 3
Divisible by 5No, remainder 2
Divisible by 6No, remainder 5
Divisible by 7No, remainder 3
Divisible by 8No, remainder 3
Divisible by 9No, remainder 8
Divisible by 10No, remainder 7
Divisible by 11No, remainder 8
Divisible by 12No, remainder 11
Divisible by 100No, remainder 67

Collatz (3n + 1) trajectory

Steps to reach 191the total stopping time
Highest value reached1,800,3044× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps400,067 → 1,200,202 → 600,101 → 1,800,304 → 900,152 → 450,076 → 225,038 → 112,519 → 337,558 → 168,779 → …
Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage40,006,700%
400,067% as a decimal4,000.67
400,067% of 100400,067
400,067% of 1,0004,000,670
As a fraction of 100400,067/100

Read another way

As seconds4 days, 15 hours and 7 minutes
As bytes390.69 KiB
As a 24-bit colour#061AC3

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Neighbouring numbers

Nearby primes

Also reads as

#400067 (colour)

  • #400067
  • Violet
  • Dark
  • Nearest: Indigo

#400067 is a violet with RGB values 64, 0, 103 and HSL 277°, 100%, 20%. It is a dark colour, so white text on it reaches 14.9:1 contrast (AAA for normal text). The nearest named colour is Indigo.

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Colour values

#400067#400067
HEX#400067
RGBrgb(64, 0, 103)
RGB (0–1)0.251, 0, 0.4039
RGB percentages25.1%, 0%, 40.4%
HSLhsl(277.3, 100%, 20.2%)
HSV / HSBhsv(277.3, 100%, 40.4%)
CMYK37.9%, 100%, 0%, 59.6%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,194,407
CSS custom property--colour: #400067;

Brightness & contrast

Relative luminance0.02069WCAG 2.x, 0 is black and 1 is white
Perceived brightness49.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 14.85:1
Contrast with white14.85:1WCAG normal text: AAA
Contrast with black1.41:1WCAG normal text: Fail
Greyscale equivalent#151515
Inverted#BFFF98

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#002669no red cones; affects about 1% of men; ΔE 26.7 from the original
Deuteranopia#002865no green cones; the most common form, about 1% of men; ΔE 30.3 from the original
Tritanopia#382239no blue cones; rare, and affects men and women equally; ΔE 44.1 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text14.85:1WCAG large text: AAA
Contrast with black, large text1.41:1WCAG large text: Fail

Named colours

Indigo · ΔE 13Midnight blue · ΔE 14.1Rebecca purple · ΔE 17.5Purple · ΔE 21.3Navy · ΔE 21.6Dark slateblue · ΔE 23.8
Nearest named CSS colourIndigo (#4B0082)ΔE 13.01, a distinctly different colour
Hue familyviolet
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#276700
Analogous#0C0067, #67005B
Triadic#674000, #006740
Split complementary#5B6700, #00670C
Tetradic#670C00, #276700, #005B67

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#B234FF
Lighter +30%#9F01FF
Lighter +20%#7F00CD
Lighter +10%#60009A
Darker −10%#200034
Darker −20%#010001
Darker −30%#000000
Darker −40%#000000
More saturated +25%#400067
Less saturated −25%#3D0D5A

Channel breakdown

R64
G0
B103
Red64 (25.1%)
Green0 (0%)
Blue103 (40.4%)
Hue277.28°
Saturation (HSL)100%
Lightness20.2%
Dominant channelBlue
Hex per channelR 40 · G 00 · B 67

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Every value on this page was computed from “400067” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.