Recognised as Number
747
- Positive
- Odd
- Composite
- 3 digits
747 is an odd 3-digit integer and a composite number. It has 6 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value747
Digit count3
Digit sum18
Digit product196
Multiplicative persistence4times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicYesreads the same backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation3^2 × 83
Distinct prime factors23, 83
Number of divisors6
Sum of divisors σ(n)1,092
Aliquot sum345sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)492integers below n that share no factor with it
Carmichael function λ(n)246the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 492
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 83, 249, 7476 in total
Arithmetic
Representations
Decimal747
Binary101110101110 bits
Octal1353
Hexadecimal2EB
Base 36KR
Roman numeralDCCXLVII
In wordsseven hundred and forty-seven
Ordinalseven hundred and forty-seventh
Scientific notation7.47 × 10^2
Engineering notation747
In other bases
Ternary1000200base 3; the most digit-efficient integer base after e: 7 digits
Quinary10442base 5; one hand: 5 digits
Septenary2115base 7: 4 digits
Nonary1020base 9; each digit is two ternary digits: 4 digits
Duodecimal523base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal1h7base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal12:27base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1001T00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11100111111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000001011101011
Bit length10 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits3within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 9worth 512
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes202 eb
Gray code1110011110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000001011101011
32-bit00000000000000000000001011101011
64-bit0000000000000000000000000000000000000000000000000000001011101011
One's complement1111110100010100at 16 bits, every bit flipped
Bits reversed1101011101000000at 16 bits
Rotated left by 10000010111010110at 16 bits, wrapping
Shifted left by 110111010110= 1,494, no wrap
Shifted right by 1101110101= 373, discarding the low bit
These bits as a double3.69067037 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
747 to the power 2558,009
747 to the power 3416,832,723
747 to the power 4311,374,044,081
747 to the power 5232,596,410,928,507
First ten multiples747, 1,494, 2,241, 2,988, 3,735, 4,482, 5,229, 5,976, 6,723, 7,470
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 3
Divisible by 5No, remainder 2
Divisible by 6No, remainder 3
Divisible by 7No, remainder 5
Divisible by 8No, remainder 3
Divisible by 9Yes
Divisible by 10No, remainder 7
Divisible by 11No, remainder 10
Divisible by 12No, remainder 3
Divisible by 100No, remainder 47
Collatz (3n + 1) trajectory
Steps to reach 146the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps747 → 2,242 → 1,121 → 3,364 → 1,682 → 841 → 2,524 → 1,262 → 631 → 1,894 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage74,700%
747% as a decimal7.47
747% of 100747
747% of 1,0007,470
As a fraction of 100747/100
Read another way
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from 747
Other readings
Also reads as
#774477 (colour)
- #774477
- Magenta
- Dark
- Nearest: Dark slateblue
#774477 is a magenta with RGB values 119, 68, 119 and HSL 300°, 27%, 37%. It is a dark colour, so white text on it reaches 7.3:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.
Colour values
#774477#774477
HEX#774477
HEX (short)#747
RGBrgb(119, 68, 119)
RGB (0–1)0.4667, 0.2667, 0.4667
RGB percentages46.7%, 26.7%, 46.7%
HSLhsl(300, 27.3%, 36.7%)
HSV / HSBhsv(300, 42.9%, 46.7%)
CMYK0%, 42.9%, 0%, 53.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer7,816,311
CSS custom property--colour: #774477;
Brightness & contrast
Relative luminance0.09388WCAG 2.x, 0 is black and 1 is white
Perceived brightness92.5 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 7.3:1
Contrast with white7.3:1WCAG normal text: AAA
Contrast with black2.88:1WCAG normal text: Fail
Greyscale equivalent#535353
Inverted#88BB88
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text7.3:1WCAG large text: AAA
Contrast with black, large text2.88:1WCAG large text: Fail
Named colours
Hue familymagenta
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#447744
Analogous#5E4477, #77445E
Triadic#777744, #447777
Split complementary#5E7744, #44775E
Tetradic#775E44, #447744, #445E77
Tints, shades & saturation
Channel breakdown
R119
G68
B119
Red119 (46.7%)
Green68 (26.7%)
Blue119 (46.7%)
Hue300°
Saturation (HSL)27.27%
Lightness36.67%
Dominant channelRed and Blue
Hex per channelR 77 · G 44 · B 77
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Harmonies
Similar named colours
Nerdulate something else
Nothing in mind? Surprise me · today’s page