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Number

100,013

  • Positive
  • Odd
  • Composite
  • 6 digits

100,013 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 value100,013
Digit count6
Digit sum5
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation103 × 971
Distinct prime factors2103, 971
Number of divisors4
Sum of divisors σ(n)101,088
Aliquot sum1,075sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)98,940integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 103, 971, 100,0134 in total

Arithmetic

Previous number100,012
Next number100,014
Double200,026
Half50,006.5
Square10,002,600,169
Cube1,000,390,050,702,197
Square root316.248320154≈irrational, shown to 9 decimal places
Cube root46.417899604≈
Negation-100,013
Reciprocal0.0000099987≈

Representations

Decimal100,013
Binary1100001101010110117 bits
Octal303255
Hexadecimal186AD
Base 362565
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred thousand and thirteen
Ordinalone hundred thousand and thirteenth
Scientific notation1.00013 × 10^5
Engineering notation100.013 × 10^3

Nearest landmarks

Next prime100,019+6
Previous prime100,003−10
Distance to nearest prime6
Nearest square below99,856
Nearest square above100,489

Powers & multiples

100,013 to the power 210,002,600,169
100,013 to the power 31,000,390,050,702,197
100,013 to the power 4100,052,010,140,878,828,561
100,013 to the power 510,006,501,690,219,714,280,871,293
First ten multiples100,013, 200,026, 300,039, 400,052, 500,065, 600,078, 700,091, 800,104, 900,117, 1,000,130
Powers of twoBetween 2^16 (65,536) and 2^17 (131,072)

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 4
Divisible by 8No, remainder 5
Divisible by 9No, remainder 5
Divisible by 10No, remainder 3
Divisible by 11No, remainder 1
Divisible by 12No, remainder 5
Divisible by 100No, remainder 13

Collatz (3n + 1) trajectory

Steps to reach 189the total stopping time
Highest value reached300,0403× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps100,013 → 300,040 → 150,020 → 75,010 → 37,505 → 112,516 → 56,258 → 28,129 → 84,388 → 42,194 → …
Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage10,001,300%
100,013% as a decimal1,000.13
100,013% of 100100,013
100,013% of 1,0001,000,130
As a fraction of 100100,013/100

Read another way

As seconds1 day, 3 hours and 46 minutes
As bytes97.669 KiB
As a 24-bit colour#0186AD

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Neighbouring numbers

Nearby primes

Also reads as

#100013 (colour)

  • #100013
  • Magenta
  • Dark
  • Nearest: Black

#100013 is a magenta with RGB values 16, 0, 19 and HSL 291°, 100%, 4%. It is a dark colour, so white text on it reaches 20.4:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#100013#100013
HEX#100013
RGBrgb(16, 0, 19)
RGB (0–1)0.0627, 0, 0.0745
RGB percentages6.3%, 0%, 7.5%
HSLhsl(290.5, 100%, 3.7%)
HSV / HSBhsv(290.5, 100%, 7.5%)
CMYK15.8%, 100%, 0%, 92.5%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,048,595
CSS custom property--colour: #100013;

Brightness & contrast

Relative luminance0.00157WCAG 2.x, 0 is black and 1 is white
Perceived brightness10.8 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 20.36:1
Contrast with white20.36:1WCAG normal text: AAA
Contrast with black1.03:1WCAG normal text: Fail
Greyscale equivalent#050505
Inverted#EFFFEC

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#000414no red cones; affects about 1% of men; ΔE 5.9 from the original
Deuteranopia#010612no green cones; the most common form, about 1% of men; ΔE 6.9 from the original
Tritanopia#100207no blue cones; rare, and affects men and women equally; ΔE 6.7 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text20.36:1WCAG large text: AAA
Contrast with black, large text1.03:1WCAG large text: Fail

Named colours

Black · ΔE 10Dark slate grey · ΔE 35.6Dim grey · ΔE 44.1Dark slateblue · ΔE 49.7Midnight blue · ΔE 51.5Slate grey · ΔE 52.5
Nearest named CSS colourBlack (#000000)ΔE 10.02, a distinctly different colour
Hue familymagenta
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#031300
Analogous#070013, #13000C
Triadic#131000, #001310
Split complementary#0C1300, #001307
Tetradic#130700, #031300, #000C13

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#BC00DF
Lighter +30%#9100AC
Lighter +20%#660079
Lighter +10%#3B0046
Darker −10%#000000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#100013
Less saturated −25%#0E0211

Channel breakdown

R16
G0
B19
Red16 (6.3%)
Green0 (0%)
Blue19 (7.5%)
Hue290.53°
Saturation (HSL)100%
Lightness3.73%
Dominant channelBlue
Hex per channelR 10 · G 00 · B 13

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Every value on this page was computed from “100013” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.