Recognised as Number
360
- Positive
- Even
- Composite
- 3 digits
360 is an even 3-digit integer and a composite number. It has 24 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value360
Digit count3
Digit sum9
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^3 × 3^2 × 5
Distinct prime factors32, 3, 5
Number of divisors24
Sum of divisors σ(n)1,170
Aliquot sum810sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)96integers below n that share no factor with it
Carmichael function λ(n)12the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 96
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 36024 in total
Arithmetic
Representations
Decimal360
Binary1011010009 bits
Octal550
Hexadecimal168
Base 36A0
Roman numeralCCCLX
In wordsthree hundred and sixty
Ordinalthree hundred and sixtieth
Scientific notation3.6 × 10^2
Engineering notation360
In other bases
Ternary111100base 3; the most digit-efficient integer base after e: 6 digits
Quinary2420base 5; one hand: 4 digits
Septenary1023base 7: 4 digits
Nonary440base 9; each digit is two ternary digits: 3 digits
Duodecimal260base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimali0base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal6:0base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary111100digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11010111000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000000101101000
Bit length9 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits5within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 8worth 256
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes201 68
Gray code111011100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000000101101000
32-bit00000000000000000000000101101000
64-bit0000000000000000000000000000000000000000000000000000000101101000
One's complement1111111010010111at 16 bits, every bit flipped
Bits reversed0001011010000000at 16 bits
Rotated left by 10000001011010000at 16 bits, wrapping
Shifted left by 11011010000= 720, no wrap
Shifted right by 110110100= 180, discarding the low bit
These bits as a double1.77863633 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
360 to the power 2129,600
360 to the power 346,656,000
360 to the power 416,796,160,000
360 to the power 56,046,617,600,000
First ten multiples360, 720, 1,080, 1,440, 1,800, 2,160, 2,520, 2,880, 3,240, 3,600
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 3
Divisible by 8Yes
Divisible by 9Yes
Divisible by 10Yes
Divisible by 11No, remainder 8
Divisible by 12Yes
Divisible by 100No, remainder 60
Collatz (3n + 1) trajectory
Steps to reach 119the total stopping time
Highest value reached360
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps360 → 180 → 90 → 45 → 136 → 68 → 34 → 17 → 52 → 26 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage36,000%
360% as a decimal3.6
360% of 100360
360% of 1,0003,600
As a fraction of 100360/100
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Derived from 360
Other readings
Also reads as
#336600 (colour)
- #336600
- Green
- Dark
- Nearest: Dark green
#336600 is a green with RGB values 51, 102, 0 and HSL 90°, 100%, 20%. It is a dark colour, so white text on it reaches 6.9:1 contrast (AA for normal text). The nearest named colour is Dark green.
Colour values
#336600#336600
HEX#336600
HEX (short)#360
RGBrgb(51, 102, 0)
RGB (0–1)0.2, 0.4, 0
RGB percentages20%, 40%, 0%
HSLhsl(90, 100%, 20%)
HSV / HSBhsv(90, 100%, 40%)
CMYK50%, 0%, 100%, 60%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer3,368,448
CSS custom property--colour: #336600;
Brightness & contrast
Relative luminance0.10207WCAG 2.x, 0 is black and 1 is white
Perceived brightness83 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 6.9:1
Contrast with white6.9:1WCAG normal text: AA
Contrast with black3.04:1WCAG normal text: Fail
Greyscale equivalent#545454
Inverted#CC99FF
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text6.9:1WCAG large text: AAA
Contrast with black, large text3.04:1WCAG large text: AA
Named colours
Hue familygreen
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#330066
Analogous#666600, #006600
Triadic#003366, #660033
Split complementary#000066, #660066
Tetradic#006666, #330066, #660000
Tints, shades & saturation
Channel breakdown
R51
G102
B0
Red51 (20%)
Green102 (40%)
Blue0 (0%)
Hue90°
Saturation (HSL)100%
Lightness20%
Dominant channelGreen
Hex per channelR 33 · G 66 · B 00
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Harmonies
Similar named colours
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