Nerdulator> put something in

Number

1,088

  • Positive
  • Even
  • Composite
  • 4 digits

1,088 is an even 4-digit integer and a composite number. It has 14 divisors and a digital root of 8.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,088
Digit count4
Digit sum17
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^6 × 17
Distinct prime factors22, 17
Number of divisors14
Sum of divisors σ(n)2,286
Aliquot sum1,198sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)512integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1,08814 in total

Arithmetic

Previous number1,087
Next number1,089
Double2,176
Half544
Square1,183,744
Square root32.984845005irrational, shown to 9 decimal places
Cube root10.285126363
Negation-1,088
Reciprocal0.0009191176

Representations

Decimal1,088
Binary1000100000011 bits
Octal2100
Hexadecimal440
Base 36U8
Roman numeralMLXXXVIII
In wordsone thousand and eighty-eight
Ordinalone thousand and eighty-eighth
Scientific notation1.088 × 10^3
Engineering notation1.088 × 10^3

Nearest landmarks

Next prime1,091+3
Previous prime1,087−1
Distance to nearest prime1
Nearest square below1,024
Nearest square above1,089

Powers & multiples

1,088 to the power 21,183,744
1,088 to the power 31,287,913,472
1,088 to the power 41,401,249,857,536
1,088 to the power 51,524,559,844,999,168
First ten multiples1,088, 2,176, 3,264, 4,352, 5,440, 6,528, 7,616, 8,704, 9,792, 10,880
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)

Divisibility tests

Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6No, remainder 2
Divisible by 7No, remainder 3
Divisible by 8Yes
Divisible by 9No, remainder 8
Divisible by 10No, remainder 8
Divisible by 11No, remainder 10
Divisible by 12No, remainder 8
Divisible by 100No, remainder 88

Collatz (3n + 1) trajectory

Steps to reach 118the total stopping time
Highest value reached1,088
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,088 → 544 → 272 → 136 → 68 → 34 → 17 → 52 → 26 → 13 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage108,800%
1,088% as a decimal10.88
1,088% of 1001,088
1,088% of 1,00010,880
As a fraction of 1001,088/100

Read another way

As bytes1.063 KiB
As a year1088 AD
As a 24-bit colour#000440

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Also reads as

1088 (year)

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

1088 was a leap year of 366 days. It began on a Sunday and ended on a Monday. Easter Sunday fell on 22 April.

Open this reading on its own page →

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 aSunday
31 December fell on aMonday
Century11th century
Decade1080s
Chinese zodiacDragon
Easter Sunday22 April

Months of 1088

Time references

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

Unix timestamp at the start-27,833,241,600
Unix timestamp at the end-27,801,619,201
Years from now938 years ago
Days from today342,849 days since 1 January

The number 1088

As a number1,088
In wordsone thousand and eighty-eight
Roman numeralsMLXXXVIII

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Also reads as

#110088 (colour)

  • #110088
  • Blue
  • Dark
  • Nearest: Dark blue

#110088 is a blue with RGB values 17, 0, 136 and HSL 248°, 100%, 27%. It is a dark colour, so white text on it reaches 15.2:1 contrast (AAA for normal text). The nearest named colour is Dark blue.

Open this reading on its own page →

Colour values

#110088#110088
HEX#110088
HEX (short)#108
RGBrgb(17, 0, 136)
RGB (0–1)0.0667, 0, 0.5333
RGB percentages6.7%, 0%, 53.3%
HSLhsl(247.5, 100%, 26.7%)
HSV / HSBhsv(247.5, 100%, 53.3%)
CMYK87.5%, 100%, 0%, 46.7%naive device-independent conversion; real print needs an ICC profile
24-bit integer1,114,248
CSS custom property--colour: #110088;

Brightness & contrast

Relative luminance0.01897WCAG 2.x, 0 is black and 1 is white
Perceived brightness46.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 15.22:1
Contrast with white15.22:1WCAG normal text: AAA
Contrast with black1.38:1WCAG normal text: Fail
Greyscale equivalent#0D0D0D
Inverted#EEFF77

Colour vision & accessibility

Protanopia#002C8Bno red cones; affects about 1% of men; ΔE 25.5 from the original
Deuteranopia#001E86no green cones; the most common form, about 1% of men; ΔE 16.7 from the original
Tritanopia#00354Dno blue cones; rare, and affects men and women equally; ΔE 73.3 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text15.22:1WCAG large text: AAA
Contrast with black, large text1.38:1WCAG large text: Fail

Named colours

Nearest named CSS colourDark blue (#00008B)ΔE 2.28, below the just-noticeable difference
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#778800
Analogous#003388, #550088
Triadic#881100, #008811
Split complementary#885500, #338800
Tetradic#880033, #778800, #008855

Tints, shades & saturation

Lighter +40%#6A55FF
Lighter +30%#3E22FF
Lighter +20%#1E00EE
Lighter +10%#1700BB
Darker −10%#0B0055
Darker −20%#040022
Darker −30%#000000
Darker −40%#000000
More saturated +25%#110088
Less saturated −25%#1E1177

Channel breakdown

R17
G0
B136
Red17 (6.7%)
Green0 (0%)
Blue136 (53.3%)
Hue247.5°
Saturation (HSL)100%
Lightness26.67%
Dominant channelBlue
Hex per channelR 11 · G 00 · B 88

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Nerdulate something else

Nothing in mind? Surprise me · today’s page

Every value on this page was computed from “1088” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.