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Number

13,988

  • Positive
  • Even
  • Composite
  • 5 digits

13,988 is an even 5-digit integer and a composite number. It has 12 divisors and a digital root of 2.

The canonical address for this page is /13988.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value13,988
Digit count5
Digit sum29
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 13 × 269
Distinct prime factors32, 13, 269
Number of divisors12
Sum of divisors σ(n)26,460
Aliquot sum12,472sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)6,432integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 13, 26, 52, 269, 538, 1,076, 3,497, 6,994, 13,98812 in total

Arithmetic

Previous number13,987
Next number13,989
Double27,976
Half6,994
Square root118.270875536irrational, shown to 9 decimal places
Cube root24.094534553
Negation-13,988
Reciprocal0.0000714898

Representations

Decimal13,988
Binary1101101010010014 bits
Octal33244
Hexadecimal36A4
Base 36ASK
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsthirteen thousand, nine hundred and eighty-eight
Ordinalthirteen thousand, nine hundred and eighty-eighth
Scientific notation1.3988 × 10^4
Engineering notation13.988 × 10^3

Nearest landmarks

Next prime13,997+9
Previous prime13,967−21
Distance to nearest prime9
Nearest square below13,924
Nearest square above14,161

Powers & multiples

13,988 to the power 2195,664,144
13,988 to the power 32,736,950,046,272
13,988 to the power 438,284,457,247,252,736
13,988 to the power 5535,522,987,974,571,271,168
First ten multiples13,988, 27,976, 41,964, 55,952, 69,940, 83,928, 97,916, 111,904, 125,892, 139,880
Powers of twoBetween 2^13 (8,192) and 2^14 (16,384)

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 2
Divisible by 8No, remainder 4
Divisible by 9No, remainder 2
Divisible by 10No, remainder 8
Divisible by 11No, remainder 7
Divisible by 12No, remainder 8
Divisible by 100No, remainder 88

Collatz (3n + 1) trajectory

Steps to reach 1107the total stopping time
Highest value reached59,7764× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps13,988 → 6,994 → 3,497 → 10,492 → 5,246 → 2,623 → 7,870 → 3,935 → 11,806 → 5,903 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage1,398,800%
13,988% as a decimal139.88
13,988% of 10013,988
13,988% of 1,000139,880
As a fraction of 10013,988/100

Read another way

As bytes13.66 KiB
As a 24-bit colour#0036A4

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Also reads as

#013988 (colour)

  • #013988
  • Blue
  • Dark
  • Nearest: Dark slateblue

#013988 is a blue with RGB values 1, 57, 136 and HSL 215°, 99%, 27%. It is a dark colour, so white text on it reaches 10.8:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.

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Colour values

#013988#013988
HEX#013988
RGBrgb(1, 57, 136)
RGB (0–1)0.0039, 0.2235, 0.5333
RGB percentages0.4%, 22.4%, 53.3%
HSLhsl(215.1, 98.5%, 26.9%)
HSV / HSBhsv(215.1, 99.3%, 53.3%)
CMYK99.3%, 58.1%, 0%, 46.7%naive device-independent conversion; real print needs an ICC profile
24-bit integer80,264
CSS custom property--colour: #013988;

Brightness & contrast

Relative luminance0.0471WCAG 2.x, 0 is black and 1 is white
Perceived brightness63.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 10.81:1
Contrast with white10.81:1WCAG normal text: AAA
Contrast with black1.94:1WCAG normal text: Fail
Greyscale equivalent#333333
Inverted#FEC677

Colour vision & accessibility

Protanopia#00438Bno red cones; affects about 1% of men; ΔE 7.4 from the original
Deuteranopia#003886no green cones; the most common form, about 1% of men; ΔE 0.7 from the original
Tritanopia#004D5Ano blue cones; rare, and affects men and women equally; ΔE 48.1 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text10.81:1WCAG large text: AAA
Contrast with black, large text1.94:1WCAG large text: Fail

Named colours

Nearest named CSS colourDark slateblue (#483D8B)ΔE 11.64, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#885001
Analogous#017D88, #0C0188
Triadic#880139, #398801
Split complementary#880C01, #7D8801
Tetradic#88017D, #885001, #01880C

Tints, shades & saturation

Lighter +40%#579CFE
Lighter +30%#257FFD
Lighter +20%#0263ED
Lighter +10%#014EBB
Darker −10%#012455
Darker −20%#000F23
Darker −30%#000000
Darker −40%#000000
More saturated +25%#003989
Less saturated −25%#123C77

Channel breakdown

R1
G57
B136
Red1 (0.4%)
Green57 (22.4%)
Blue136 (53.3%)
Hue215.11°
Saturation (HSL)98.54%
Lightness26.86%
Dominant channelBlue
Hex per channelR 01 · G 39 · B 88

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Every value on this page was computed from “013988” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.

This page is marked noindex: duplicate of /13988.