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Recognised as Number

746

  • Positive
  • Even
  • Composite
  • 3 digits

746 is an even 3-digit integer and a composite number. It has 4 divisors and a digital root of 8.

Number properties

ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value746
Digit count3
Digit sum17
Digit product168
Multiplicative persistence4times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 373
Distinct prime factors22, 373
Number of divisors4
Sum of divisors σ(n)1,122
Aliquot sum376sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)372integers below n that share no factor with it
Carmichael function λ(n)372the smallest exponent with aˣ ≡ 1 for every unit coprime to n
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 2, 373, 7464 in total

Arithmetic

Previous number745
Next number747
Double1,492
Half373
Square556,516
Square root27.313000567irrational, shown to 9 decimal places
Cube root9.069421981
Negation-746
Reciprocal0.0013404826
746 factorial8222230667727383313460117948021839727164… (1,821 digits)

Representations

Decimal746
Binary101110101010 bits
Octal1352
Hexadecimal2EA
Base 36KQ
Roman numeralDCCXLVI
In wordsseven hundred and forty-six
Ordinalseven hundred and forty-sixth
Scientific notation7.46 × 10^2
Engineering notation746

In other bases

Ternary1000122base 3; the most digit-efficient integer base after e: 7 digits
Quinary10441base 5; one hand: 5 digits
Septenary2114base 7: 4 digits
Nonary1018base 9; each digit is two ternary digits: 4 digits
Duodecimal522base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal1h6base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal12:26base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1001T0Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11100111110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0000001011101010
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 11 trailing zero
Power of twoNo
Bytes202 ea
Gray code1110011111n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0000001011101010
32-bit00000000000000000000001011101010
64-bit0000000000000000000000000000000000000000000000000000001011101010
One's complement1111110100010101at 16 bits, every bit flipped
Bits reversed0101011101000000at 16 bits
Rotated left by 10000010111010100at 16 bits, wrapping
Shifted left by 110111010100= 1,492, no wrap
Shifted right by 1101110101= 373, discarding the low bit
These bits as a double3.68572972 × 10^-321IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime751+5
Previous prime743−3
Distance to nearest prime3
Nearest square below729
Nearest square above784

Powers & multiples

746 to the power 2556,516
746 to the power 3415,160,936
746 to the power 4309,710,058,256
746 to the power 5231,043,703,458,976
First ten multiples746, 1,492, 2,238, 2,984, 3,730, 4,476, 5,222, 5,968, 6,714, 7,460
Powers of twoBetween 2^9 (512) and 2^10 (1,024)

Divisibility tests

Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4No, remainder 2
Divisible by 5No, remainder 1
Divisible by 6No, remainder 2
Divisible by 7No, remainder 4
Divisible by 8No, remainder 2
Divisible by 9No, remainder 8
Divisible by 10No, remainder 6
Divisible by 11No, remainder 9
Divisible by 12No, remainder 2
Divisible by 100No, remainder 46

Collatz (3n + 1) trajectory

Steps to reach 120the total stopping time
Highest value reached1,1201× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps746 → 373 → 1,120 → 560 → 280 → 140 → 70 → 35 → 106 → 53 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage74,600%
746% as a decimal7.46
746% of 100746
746% of 1,0007,460
As a fraction of 100746/100

Read another way

As bytes746 B
As a 24-bit colour#0002EA

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Also reads as

#774466 (colour)

  • #774466
  • Magenta
  • Dark
  • Nearest: Dim grey

#774466 is a magenta with RGB values 119, 68, 102 and HSL 320°, 27%, 37%. It is a dark colour, so white text on it reaches 7.5:1 contrast (AAA for normal text). The nearest named colour is Dim grey.

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Colour values

#774466#774466
HEX#774466
HEX (short)#746
RGBrgb(119, 68, 102)
RGB (0–1)0.4667, 0.2667, 0.4
RGB percentages46.7%, 26.7%, 40%
HSLhsl(320, 27.3%, 36.7%)
HSV / HSBhsv(320, 42.9%, 46.7%)
CMYK0%, 42.9%, 14.3%, 53.3%naive device-independent conversion; real print needs an ICC profile
24-bit integer7,816,294
CSS custom property--colour: #774466;

Brightness & contrast

Relative luminance0.09015WCAG 2.x, 0 is black and 1 is white
Perceived brightness90.2 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 7.49:1
Contrast with white7.49:1WCAG normal text: AAA
Contrast with black2.8:1WCAG normal text: Fail
Greyscale equivalent#515151
Inverted#88BB99

Colour vision & accessibility

Protanopia#465067no red cones; affects about 1% of men; ΔE 25.5 from the original
Deuteranopia#535865no green cones; the most common form, about 1% of men; ΔE 26.2 from the original
Tritanopia#7D4550no blue cones; rare, and affects men and women equally; ΔE 14.6 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text7.49:1WCAG large text: AAA
Contrast with black, large text2.8:1WCAG large text: Fail

Named colours

Nearest named CSS colourDim grey (#696969)ΔE 30.27, a distinctly different colour
Hue familymagenta
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#447755
Analogous#6F4477, #77444D
Triadic#667744, #446677
Split complementary#4D7744, #44776F
Tetradic#776F44, #447755, #444D77

Tints, shades & saturation

Lighter +40%#D4B3C9
Lighter +30%#C193B2
Lighter +20%#AF729B
Lighter +10%#975782
Darker −10%#57314A
Darker −20%#361F2E
Darker −30%#160C13
Darker −40%#000000
More saturated +25%#8E2D6E
Less saturated −25%#605B5E

Channel breakdown

R119
G68
B102
Red119 (46.7%)
Green68 (26.7%)
Blue102 (40%)
Hue320°
Saturation (HSL)27.27%
Lightness36.67%
Dominant channelRed
Hex per channelR 77 · G 44 · B 66

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Every value on this page was computed from “746” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.