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Number

1,016

  • Positive
  • Even
  • Composite
  • 4 digits

1,016 is an even 4-digit integer and a composite number. It has 8 divisors and a digital root of 8.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,016
Digit count4
Digit sum8
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^3 × 127
Distinct prime factors22, 127
Number of divisors8
Sum of divisors σ(n)1,920
Aliquot sum904sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)504integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 127, 254, 508, 1,0168 in total

Arithmetic

Previous number1,015
Next number1,017
Double2,032
Half508
Square1,032,256
Square root31.874754901irrational, shown to 9 decimal places
Cube root10.053051391
Negation-1,016
Reciprocal0.000984252

Representations

Decimal1,016
Binary111111100010 bits
Octal1770
Hexadecimal3F8
Base 36S8
Roman numeralMXVI
In wordsone thousand and sixteen
Ordinalone thousand and sixteenth
Scientific notation1.016 × 10^3
Engineering notation1.016 × 10^3

Nearest landmarks

Next prime1,019+3
Previous prime1,013−3
Distance to nearest prime3
Nearest square below961
Nearest square above1,024

Powers & multiples

1,016 to the power 21,032,256
1,016 to the power 31,048,772,096
1,016 to the power 41,065,552,449,536
1,016 to the power 51,082,601,288,728,576
First ten multiples1,016, 2,032, 3,048, 4,064, 5,080, 6,096, 7,112, 8,128, 9,144, 10,160
Powers of twoBetween 2^9 (512) and 2^10 (1,024)

Divisibility tests

Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5No, remainder 1
Divisible by 6No, remainder 2
Divisible by 7No, remainder 1
Divisible by 8Yes
Divisible by 9No, remainder 8
Divisible by 10No, remainder 6
Divisible by 11No, remainder 4
Divisible by 12No, remainder 8
Divisible by 100No, remainder 16

Collatz (3n + 1) trajectory

Steps to reach 149the total stopping time
Highest value reached4,3724× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,016 → 508 → 254 → 127 → 382 → 191 → 574 → 287 → 862 → 431 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage101,600%
1,016% as a decimal10.16
1,016% of 1001,016
1,016% of 1,00010,160
As a fraction of 1001,016/100

Read another way

As bytes1,016 B
As a year1016 AD
As a 24-bit colour#0003F8

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Also reads as

1016 (year)

  • Leap year
  • 366 days
  • 11th century
  • Dragon

1016 was a leap year of 366 days. It began on a Monday and ended on a Tuesday. Easter Sunday fell on 7 April.

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Structure of the year

Leap yearYesdivisible by 4, and by 400 if divisible by 100
Days in the year366
Weeks in the year52ISO 8601 weeks; 28 December is always in the final week
Days in February29
1 January fell on aMonday
31 December fell on aTuesday
Century11th century
Decade1010s
Chinese zodiacDragon
Easter Sunday7 April

Months of 1016

Time references

These values depend on today’s date and change daily.

Unix timestamp at the start-30,105,388,800
Unix timestamp at the end-30,073,766,401
Years from now1,010 years ago
Days from today369,148 days since 1 January

The number 1016

As a number1,016
In wordsone thousand and sixteen
Roman numeralsMXVI

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Also reads as

#110011 (colour)

  • #110011
  • Magenta
  • Dark
  • Nearest: Black

#110011 is a magenta with RGB values 17, 0, 17 and HSL 300°, 100%, 3%. 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

#110011#110011
HEX#110011
HEX (short)#101
RGBrgb(17, 0, 17)
RGB (0–1)0.0667, 0, 0.0667
RGB percentages6.7%, 0%, 6.7%
HSLhsl(300, 100%, 3.3%)
HSV / HSBhsv(300, 100%, 6.7%)
CMYK0%, 100%, 0%, 93.3%naive device-independent conversion; real print needs an ICC profile
24-bit integer1,114,129
CSS custom property--colour: #110011;

Brightness & contrast

Relative luminance0.0016WCAG 2.x, 0 is black and 1 is white
Perceived brightness10.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 20.35:1
Contrast with white20.35:1WCAG normal text: AAA
Contrast with black1.03:1WCAG normal text: Fail
Greyscale equivalent#050505
Inverted#EEFFEE

Colour vision & accessibility

Protanopia#000412no red cones; affects about 1% of men; ΔE 6.3 from the original
Deuteranopia#030610no green cones; the most common form, about 1% of men; ΔE 6.7 from the original
Tritanopia#120106no blue cones; rare, and affects men and women equally; ΔE 5.4 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text20.35:1WCAG large text: AAA
Contrast with black, large text1.03:1WCAG large text: Fail

Named colours

Nearest named CSS colourBlack (#000000)ΔE 9.21, clearly different but related
Hue familymagenta
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#001100
Analogous#090011, #110009
Triadic#111100, #001111
Split complementary#091100, #001109
Tetradic#110900, #001100, #000911

Tints, shades & saturation

Lighter +40%#DD00DD
Lighter +30%#AA00AA
Lighter +20%#770077
Lighter +10%#440044
Darker −10%#000000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#110011
Less saturated −25%#0F020F

Channel breakdown

R17
G0
B17
Red17 (6.7%)
Green0 (0%)
Blue17 (6.7%)
Hue300°
Saturation (HSL)100%
Lightness3.33%
Dominant channelRed and Blue
Hex per channelR 11 · G 00 · B 11

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Every value on this page was computed from “1016” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.