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Number

317

  • Positive
  • Odd
  • Prime
  • 3 digits

317 is an odd 3-digit integer and a prime number. It has 2 divisors and a digital root of 2.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value317
Digit count3
Digit sum11
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation317
Distinct prime factors1317
Number of divisors2
Sum of divisors σ(n)318
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)316integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 3172 in total

Arithmetic

Previous number316
Next number318
Double634
Half158.5
Square100,489
Cube31,855,013
Square root17.804493815≈irrational, shown to 9 decimal places
Cube root6.818461941≈
Negation-317
Reciprocal0.0031545741≈
317 factorial6518821553262124178581470942378495426818… (657 digits)

Representations

Decimal317
Binary1001111019 bits
Octal475
Hexadecimal13D
Base 368T
Roman numeralCCCXVII
In wordsthree hundred and seventeen
Ordinalthree hundred and seventeenth
Scientific notation3.17 × 10^2
Engineering notation317

Nearest landmarks

Next prime331+14
Previous prime313−4
Distance to nearest prime0, it is prime
Nearest square below289
Nearest square above324

Powers & multiples

317 to the power 2100,489
317 to the power 331,855,013
317 to the power 410,098,039,121
317 to the power 53,201,078,401,357
First ten multiples317, 634, 951, 1,268, 1,585, 1,902, 2,219, 2,536, 2,853, 3,170
Powers of twoBetween 2^8 (256) and 2^9 (512)

Divisibility tests

Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 2
Divisible by 6No, remainder 5
Divisible by 7No, remainder 2
Divisible by 8No, remainder 5
Divisible by 9No, remainder 2
Divisible by 10No, remainder 7
Divisible by 11No, remainder 9
Divisible by 12No, remainder 5
Divisible by 100No, remainder 17

Collatz (3n + 1) trajectory

Steps to reach 137the total stopping time
Highest value reached9523× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps317 → 952 → 476 → 238 → 119 → 358 → 179 → 538 → 269 → 808 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage31,700%
317% as a decimal3.17
317% of 100317
317% of 1,0003,170
As a fraction of 100317/100

Read another way

As seconds5 minutes and 17 seconds
As bytes317 B
As a 24-bit colour#00013D

Keep nerding

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Neighbouring numbers

Nearby primes

Also reads as

#331177 (colour)

  • #331177
  • Violet
  • Dark
  • Nearest: Midnight blue

#331177 is a violet with RGB values 51, 17, 119 and HSL 260°, 75%, 27%. It is a dark colour, so white text on it reaches 14.1:1 contrast (AAA for normal text). The nearest named colour is Midnight blue.

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Colour values

#331177#331177
HEX#331177
HEX (short)#317
RGBrgb(51, 17, 119)
RGB (0–1)0.2, 0.0667, 0.4667
RGB percentages20%, 6.7%, 46.7%
HSLhsl(260, 75%, 26.7%)
HSV / HSBhsv(260, 85.7%, 46.7%)
CMYK57.1%, 85.7%, 0%, 53.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer3,346,807
CSS custom property--colour: #331177;

Brightness & contrast

Relative luminance0.02437WCAG 2.x, 0 is black and 1 is white
Perceived brightness50.6 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 14.12:1
Contrast with white14.12:1WCAG normal text: AAA
Contrast with black1.49:1WCAG normal text: Fail
Greyscale equivalent#202020
Inverted#CCEE88

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#002D7Ano red cones; affects about 1% of men; ΔE 21.6 from the original
Deuteranopia#002975no green cones; the most common form, about 1% of men; ΔE 20.7 from the original
Tritanopia#163045no blue cones; rare, and affects men and women equally; ΔE 55.8 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text14.12:1WCAG large text: AAA
Contrast with black, large text1.49:1WCAG large text: Fail

Named colours

Midnight blue · ΔE 9.6Indigo · ΔE 11.2Navy · ΔE 15.8Rebecca purple · ΔE 15.9Dark blue · ΔE 20.1Dark slateblue · ΔE 21.9
Nearest named CSS colourMidnight blue (#191970)ΔE 9.64, clearly different but related
Hue familyviolet
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#557711
Analogous#112277, #661177
Triadic#773311, #117733
Split complementary#776611, #227711
Tetradic#771122, #557711, #117766

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#956AEA
Lighter +30%#753EE3
Lighter +20%#591ED0
Lighter +10%#4617A4
Darker −10%#200B4A
Darker −20%#0D041E
Darker −30%#000000
Darker −40%#000000
More saturated +25%#2D0088
Less saturated −25%#392266

Channel breakdown

R51
G17
B119
Red51 (20%)
Green17 (6.7%)
Blue119 (46.7%)
Hue260°
Saturation (HSL)75%
Lightness26.67%
Dominant channelBlue
Hex per channelR 33 · G 11 · B 77

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Every value on this page was computed from “317” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.