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Number

709

  • Positive
  • Odd
  • Prime
  • 3 digits

709 is an odd 3-digit integer and a prime number. It has 2 divisors and a digital root of 7.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value709
Digit count3
Digit sum16
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation709
Distinct prime factors1709
Number of divisors2
Sum of divisors σ(n)710
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)708integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 7092 in total

Arithmetic

Previous number708
Next number710
Double1,418
Half354.5
Square502,681
Cube356,400,829
Square root26.627053911≈irrational, shown to 9 decimal places
Cube root8.916931117≈
Negation-709
Reciprocal0.0014104372≈
709 factorial1041974696439788433903118371049183092747… (1,716 digits)

Representations

Decimal709
Binary101100010110 bits
Octal1305
Hexadecimal2C5
Base 36JP
Roman numeralDCCIX
In wordsseven hundred and nine
Ordinalseven hundred and ninth
Scientific notation7.09 × 10^2
Engineering notation709

Nearest landmarks

Next prime719+10
Previous prime701−8
Distance to nearest prime0, it is prime
Nearest square below676
Nearest square above729

Powers & multiples

709 to the power 2502,681
709 to the power 3356,400,829
709 to the power 4252,688,187,761
709 to the power 5179,155,925,122,549
First ten multiples709, 1,418, 2,127, 2,836, 3,545, 4,254, 4,963, 5,672, 6,381, 7,090
Powers of twoBetween 2^9 (512) and 2^10 (1,024)

Divisibility tests

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

Collatz (3n + 1) trajectory

Steps to reach 133the total stopping time
Highest value reached2,1283× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps709 → 2,128 → 1,064 → 532 → 266 → 133 → 400 → 200 → 100 → 50 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage70,900%
709% as a decimal7.09
709% of 100709
709% of 1,0007,090
As a fraction of 100709/100

Read another way

As seconds11 minutes and 49 seconds
As bytes709 B
As a 24-bit colour#0002C5

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Neighbouring numbers

Nearby primes

Also reads as

#770099 (colour)

  • #770099
  • Violet
  • Dark
  • Nearest: Dark magenta

#770099 is a violet with RGB values 119, 0, 153 and HSL 287°, 100%, 30%. It is a dark colour, so white text on it reaches 9.4:1 contrast (AAA for normal text). The nearest named colour is Dark magenta.

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Colour values

#770099#770099
HEX#770099
HEX (short)#709
RGBrgb(119, 0, 153)
RGB (0–1)0.4667, 0, 0.6
RGB percentages46.7%, 0%, 60%
HSLhsl(286.7, 100%, 30%)
HSV / HSBhsv(286.7, 100%, 60%)
CMYK22.2%, 100%, 0%, 40%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer7,798,937
CSS custom property--colour: #770099;

Brightness & contrast

Relative luminance0.06222WCAG 2.x, 0 is black and 1 is white
Perceived brightness83.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 9.36:1
Contrast with white9.36:1WCAG normal text: AAA
Contrast with black2.24:1WCAG normal text: Fail
Greyscale equivalent#242424
Inverted#88FF66

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#00419Cno red cones; affects about 1% of men; ΔE 41.5 from the original
Deuteranopia#004996no green cones; the most common form, about 1% of men; ΔE 49.7 from the original
Tritanopia#743358no blue cones; rare, and affects men and women equally; ΔE 51.7 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text9.36:1WCAG large text: AAA
Contrast with black, large text2.24:1WCAG large text: Fail

Named colours

Dark magenta · ΔE 13.3Indigo · ΔE 14Purple · ΔE 15.6Dark orchid · ΔE 16.1Rebecca purple · ΔE 19.7Medium orchid · ΔE 24.2
Nearest named CSS colourDark magenta (#8B008B)ΔE 13.34, a distinctly different colour
Hue familyviolet
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#229900
Analogous#2B0099, #99006E
Triadic#997700, #009977
Split complementary#6E9900, #00992B
Tetradic#992B00, #229900, #006E99

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#DD66FF
Lighter +30%#D233FF
Lighter +20%#C600FF
Lighter +10%#9F00CC
Darker −10%#4F0066
Darker −20%#280033
Darker −30%#000000
Darker −40%#000000
More saturated +25%#770099
Less saturated −25%#6C1386

Channel breakdown

R119
G0
B153
Red119 (46.7%)
Green0 (0%)
Blue153 (60%)
Hue286.67°
Saturation (HSL)100%
Lightness30%
Dominant channelBlue
Hex per channelR 77 · G 00 · B 99

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Every value on this page was computed from “709” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.