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Number

220,013

  • Positive
  • Odd
  • Prime
  • 6 digits

220,013 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 value220,013
Digit count6
Digit sum8
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation220,013
Distinct prime factors1220,013
Number of divisors2
Sum of divisors σ(n)220,014
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)220,012integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 220,0132 in total

Arithmetic

Previous number220,012
Next number220,014
Double440,026
Half110,006.5
Square48,405,720,169
Cube10,649,887,711,542,197
Square root469.055433824≈irrational, shown to 9 decimal places
Cube root60.369296413≈
Negation-220,013
Reciprocal0.0000045452≈

Representations

Decimal220,013
Binary11010110110110110118 bits
Octal655555
Hexadecimal35B6D
Base 364PRH
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordstwo hundred and twenty thousand and thirteen
Ordinaltwo hundred and twenty thousand and thirteenth
Scientific notation2.20013 × 10^5
Engineering notation220.013 × 10^3

Nearest landmarks

Next prime220,019+6
Previous prime220,009−4
Distance to nearest prime0, it is prime
Nearest square below219,961
Nearest square above220,900

Powers & multiples

220,013 to the power 248,405,720,169
220,013 to the power 310,649,887,711,542,197
220,013 to the power 42,343,113,745,079,533,388,561
220,013 to the power 5515,515,484,396,183,379,417,471,293
First ten multiples220,013, 440,026, 660,039, 880,052, 1,100,065, 1,320,078, 1,540,091, 1,760,104, 1,980,117, 2,200,130
Powers of twoBetween 2^17 (131,072) and 2^18 (262,144)

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 3
Divisible by 8No, remainder 5
Divisible by 9No, remainder 8
Divisible by 10No, remainder 3
Divisible by 11No, remainder 2
Divisible by 12No, remainder 5
Divisible by 100No, remainder 13

Collatz (3n + 1) trajectory

Steps to reach 1217the total stopping time
Highest value reached660,0403× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps220,013 → 660,040 → 330,020 → 165,010 → 82,505 → 247,516 → 123,758 → 61,879 → 185,638 → 92,819 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage22,001,300%
220,013% as a decimal2,200.13
220,013% of 100220,013
220,013% of 1,0002,200,130
As a fraction of 100220,013/100

Read another way

As seconds2 days, 13 hours and 6 minutes
As bytes214.856 KiB
As a 24-bit colour#035B6D

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Neighbouring numbers

Nearby primes

Also reads as

#220013 (colour)

  • #220013
  • Magenta
  • Dark
  • Nearest: Black

#220013 is a magenta with RGB values 34, 0, 19 and HSL 326°, 100%, 7%. It is a dark colour, so white text on it reaches 19.5:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#220013#220013
HEX#220013
RGBrgb(34, 0, 19)
RGB (0–1)0.1333, 0, 0.0745
RGB percentages13.3%, 0%, 7.5%
HSLhsl(326.5, 100%, 6.7%)
HSV / HSBhsv(326.5, 100%, 13.3%)
CMYK0%, 100%, 44.1%, 86.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer2,228,243
CSS custom property--colour: #220013;

Brightness & contrast

Relative luminance0.00387WCAG 2.x, 0 is black and 1 is white
Perceived brightness19.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 19.49:1
Contrast with white19.49:1WCAG normal text: AAA
Contrast with black1.08:1WCAG normal text: Fail
Greyscale equivalent#090909
Inverted#DDFFEC

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#040814no red cones; affects about 1% of men; ΔE 16 from the original
Deuteranopia#0E0F12no green cones; the most common form, about 1% of men; ΔE 16.6 from the original
Tritanopia#250007no blue cones; rare, and affects men and women equally; ΔE 6.2 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text19.49:1WCAG large text: AAA
Contrast with black, large text1.08:1WCAG large text: Fail

Named colours

Black · ΔE 17.4Dark slate grey · ΔE 39.8Dim grey · ΔE 44.3Dark slateblue · ΔE 48.4Midnight blue · ΔE 50.2Gray · ΔE 52.9
Nearest named CSS colourBlack (#000000)ΔE 17.43, a distinctly different colour
Hue familymagenta
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#00220F
Analogous#200022, #220002
Triadic#132200, #001322
Split complementary#022200, #002220
Tetradic#222000, #00220F, #000222

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#EE0085
Lighter +30%#BB0068
Lighter +20%#88004C
Lighter +10%#55002F
Darker −10%#000000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#220013
Less saturated −25%#1E0412

Channel breakdown

R34
G0
B19
Red34 (13.3%)
Green0 (0%)
Blue19 (7.5%)
Hue326.47°
Saturation (HSL)100%
Lightness6.67%
Dominant channelRed
Hex per channelR 22 · G 00 · B 13

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Every value on this page was computed from “220013” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.