Recognised as Number
940
- Positive
- Even
- Composite
- 3 digits
940 is an even 3-digit integer and a composite number. It has 12 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value940
Digit count3
Digit sum13
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 5 × 47
Distinct prime factors32, 5, 47
Number of divisors12
Sum of divisors σ(n)2,016
Aliquot sum1,076sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)368integers below n that share no factor with it
Carmichael function λ(n)92the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 368
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 94012 in total
Arithmetic
Representations
Decimal940
Binary111010110010 bits
Octal1654
Hexadecimal3AC
Base 36Q4
Roman numeralCMXL
In wordsnine hundred and forty
Ordinalnine hundred and fortieth
Scientific notation9.4 × 10^2
Engineering notation940
In other bases
Ternary1021211base 3; the most digit-efficient integer base after e — 7 digits
Quinary12230base 5; one hand — 5 digits
Septenary2512base 7 — 4 digits
Nonary1254base 9; each digit is two ternary digits — 4 digits
Duodecimal664base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves — 3 digits
Vigesimal270base 20; hands and feet, and the Mayan and Yoruba systems — 3 digits
Sexagesimal15:40base 60; Babylonian, and still how an hour and a circle are divided — 2 digits
Balanced ternary110TT11digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10011111100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000001110101100
Bit length10 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits4within that length
Bit parityeven6 set bits, so even; not the same as the number itself being even
Highest set bitbit 9worth 512
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes203 ac
Gray code1001111010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000001110101100
32-bit00000000000000000000001110101100
64-bit0000000000000000000000000000000000000000000000000000001110101100
One's complement1111110001010011at 16 bits, every bit flipped
Bits reversed0011010111000000at 16 bits
Rotated left by 10000011101011000at 16 bits, wrapping
Shifted left by 111101011000= 1,880, no wrap
Shifted right by 1111010110= 470, discarding the low bit
These bits as a double4.64421707 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
940 to the power 2883,600
940 to the power 3830,584,000
940 to the power 4780,748,960,000
940 to the power 5733,904,022,400,000
First ten multiples940, 1,880, 2,820, 3,760, 4,700, 5,640, 6,580, 7,520, 8,460, 9,400
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 4
Divisible by 7No, remainder 2
Divisible by 8No, remainder 4
Divisible by 9No, remainder 4
Divisible by 10Yes
Divisible by 11No, remainder 5
Divisible by 12No, remainder 4
Divisible by 100No, remainder 40
Collatz (3n + 1) trajectory
Steps to reach 1129the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps940 → 470 → 235 → 706 → 353 → 1,060 → 530 → 265 → 796 → 398 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage94,000%
940% as a decimal9.4
940% of 100940
940% of 1,0009,400
As a fraction of 100940/100
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Derived from 940
Other readings
Also reads as
#994400 (colour)
- #994400
- Orange
- Dark
- Nearest: Saddle brown
#994400 is a orange with RGB values 153, 68, 0 and HSL 27°, 100%, 30%. It is a dark colour, so white text on it reaches 6.6:1 contrast (AA for normal text). The nearest named colour is Saddle brown.
Colour values
#994400#994400
HEX#994400
HEX (short)#940
RGBrgb(153, 68, 0)
RGB (0–1)0.6, 0.2667, 0
RGB percentages60%, 26.7%, 0%
HSLhsl(26.7, 100%, 30%)
HSV / HSBhsv(26.7, 100%, 60%)
CMYK0%, 55.6%, 100%, 40%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer10,044,416
CSS custom property--colour: #994400;
Brightness & contrast
Relative luminance0.10907WCAG 2.x, 0 is black and 1 is white
Perceived brightness98.6 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 6.6:1
Contrast with white6.6:1WCAG normal text: AA
Contrast with black3.18:1WCAG normal text: Fail
Greyscale equivalent#515151
Inverted#66BBFF
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text6.6:1WCAG large text: AAA
Contrast with black, large text3.18:1WCAG large text: AA
Named colours
Hue familyorange
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#005599
Analogous#990008, #999100
Triadic#009944, #440099
Split complementary#009990, #000999
Tetradic#089900, #005599, #910099
Tints, shades & saturation
Channel breakdown
R153
G68
B0
Red153 (60%)
Green68 (26.7%)
Blue0 (0%)
Hue26.67°
Saturation (HSL)100%
Lightness30%
Dominant channelRed
Hex per channelR 99 · G 44 · B 00
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