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Number

167

  • Positive
  • Odd
  • Prime
  • 3 digits

167 is an odd 3-digit integer and a prime number. It has 2 divisors and a digital root of 5.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value167
Digit count3
Digit sum14
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation167
Distinct prime factors1167
Number of divisors2
Sum of divisors σ(n)168
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)166integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 1672 in total

Arithmetic

Previous number166
Next number168
Double334
Half83.5
Square27,889
Square root12.922847983irrational, shown to 9 decimal places
Cube root5.506878446
Negation-167
Reciprocal0.005988024
167 factorial1503616514864999040201201707840084015944… (301 digits)

Representations

Decimal167
Binary101001118 bits
Octal247
HexadecimalA7
Base 364N
Roman numeralCLXVII
In wordsone hundred and sixty-seven
Ordinalone hundred and sixty-seventh
Scientific notation1.67 × 10^2
Engineering notation167

Nearest landmarks

Next prime173+6
Previous prime163−4
Distance to nearest prime0, it is prime
Nearest square below144
Nearest square above169

Powers & multiples

167 to the power 227,889
167 to the power 34,657,463
167 to the power 4777,796,321
167 to the power 5129,891,985,607
First ten multiples167, 334, 501, 668, 835, 1,002, 1,169, 1,336, 1,503, 1,670
Powers of twoBetween 2^7 (128) and 2^8 (256)

Divisibility tests

Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 3
Divisible by 5No, remainder 2
Divisible by 6No, remainder 5
Divisible by 7No, remainder 6
Divisible by 8No, remainder 7
Divisible by 9No, remainder 5
Divisible by 10No, remainder 7
Divisible by 11No, remainder 2
Divisible by 12No, remainder 11
Divisible by 100No, remainder 67

Collatz (3n + 1) trajectory

Steps to reach 167the total stopping time
Highest value reached9,23255× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps167 → 502 → 251 → 754 → 377 → 1,132 → 566 → 283 → 850 → 425 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage16,700%
167% as a decimal1.67
167% of 100167
167% of 1,0001,670
As a fraction of 100167/100

Read another way

As bytes167 B
As a 24-bit colour#0000A7

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Also reads as

#116677 (colour)

  • #116677
  • Cyan
  • Dark
  • Nearest: Dark slate grey

#116677 is a cyan with RGB values 17, 102, 119 and HSL 190°, 75%, 27%. It is a dark colour, so white text on it reaches 6.6:1 contrast (AA for normal text). The nearest named colour is Dark slate grey.

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Colour values

#116677#116677
HEX#116677
HEX (short)#167
RGBrgb(17, 102, 119)
RGB (0–1)0.0667, 0.4, 0.4667
RGB percentages6.7%, 40%, 46.7%
HSLhsl(190, 75%, 26.7%)
HSV / HSBhsv(190, 85.7%, 46.7%)
CMYK85.7%, 14.3%, 0%, 53.3%naive device-independent conversion; real print needs an ICC profile
24-bit integer1,140,343
CSS custom property--colour: #116677;

Brightness & contrast

Relative luminance0.10954WCAG 2.x, 0 is black and 1 is white
Perceived brightness88.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 6.58:1
Contrast with white6.58:1WCAG normal text: AA
Contrast with black3.19:1WCAG normal text: Fail
Greyscale equivalent#555555
Inverted#EE9988

Colour vision & accessibility

Protanopia#5A6278no red cones; affects about 1% of men; ΔE 19.9 from the original
Deuteranopia#4D5977no green cones; the most common form, about 1% of men; ΔE 20.7 from the original
Tritanopia#006C6Bno blue cones; rare, and affects men and women equally; ΔE 12.8 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text6.58:1WCAG large text: AAA
Contrast with black, large text3.19:1WCAG large text: AA

Named colours

Nearest named CSS colourDark slate grey (#2F4F4F)ΔE 16.05, a distinctly different colour
Hue familycyan
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#772211
Analogous#117755, #113377
Triadic#771166, #667711
Split complementary#771133, #775511
Tetradic#551177, #772211, #337711

Tints, shades & saturation

Lighter +40%#6AD5EA
Lighter +30%#3EC8E3
Lighter +20%#1EB3D0
Lighter +10%#178CA4
Darker −10%#0B404A
Darker −20%#041A1E
Darker −30%#000000
Darker −40%#000000
More saturated +25%#007188
Less saturated −25%#225B66

Channel breakdown

R17
G102
B119
Red17 (6.7%)
Green102 (40%)
Blue119 (46.7%)
Hue190°
Saturation (HSL)75%
Lightness26.67%
Dominant channelBlue
Hex per channelR 11 · G 66 · B 77

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Every value on this page was computed from “167” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.