Recognised as Number
777
- Positive
- Odd
- Composite
- 3 digits
777 is an odd 3-digit integer and a composite number. It has 8 divisors and a digital root of 3.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value777
Digit count3
Digit sum21
Digit product343
Multiplicative persistence4times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicYesreads the same backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation3 × 7 × 37
Distinct prime factors33, 7, 37
Number of divisors8
Sum of divisors σ(n)1,216
Aliquot sum439sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)432integers below n that share no factor with it
Carmichael function λ(n)36the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 432
Möbius function μ(n)−13 distinct prime factors, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 3, 7, 21, 37, 111, 259, 7778 in total
Arithmetic
Representations
Decimal777
Binary110000100110 bits
Octal1411
Hexadecimal309
Base 36LL
Roman numeralDCCLXXVII
In wordsseven hundred and seventy-seven
Ordinalseven hundred and seventy-seventh
Scientific notation7.77 × 10^2
Engineering notation777
In other bases
Ternary1001210base 3; the most digit-efficient integer base after e: 7 digits
Quinary11102base 5; one hand: 5 digits
Septenary2160base 7: 4 digits
Nonary1053base 9; each digit is two ternary digits: 4 digits
Duodecimal549base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal1ihbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal12:57base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary101TT10digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11100011001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000001100001001
Bit length10 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits6within that length
Bit parityeven4 set bits, so even; not the same as the number itself being odd
Highest set bitbit 9worth 512
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes203 09
Gray code1010001101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000001100001001
32-bit00000000000000000000001100001001
64-bit0000000000000000000000000000000000000000000000000000001100001001
One's complement1111110011110110at 16 bits, every bit flipped
Bits reversed1001000011000000at 16 bits
Rotated left by 10000011000010010at 16 bits, wrapping
Shifted left by 111000010010= 1,554, no wrap
Shifted right by 1110000100= 388, discarding the low bit
These bits as a double3.83889007 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
777 to the power 2603,729
777 to the power 3469,097,433
777 to the power 4364,488,705,441
777 to the power 5283,207,724,127,657
First ten multiples777, 1,554, 2,331, 3,108, 3,885, 4,662, 5,439, 6,216, 6,993, 7,770
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 1
Divisible by 5No, remainder 2
Divisible by 6No, remainder 3
Divisible by 7Yes
Divisible by 8No, remainder 1
Divisible by 9No, remainder 3
Divisible by 10No, remainder 7
Divisible by 11No, remainder 7
Divisible by 12No, remainder 9
Divisible by 100No, remainder 77
Collatz (3n + 1) trajectory
Steps to reach 133the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps777 → 2,332 → 1,166 → 583 → 1,750 → 875 → 2,626 → 1,313 → 3,940 → 1,970 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage77,700%
777% as a decimal7.77
777% of 100777
777% of 1,0007,770
As a fraction of 100777/100
Read another way
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Derived from 777
Other readings
Also reads as
#777777 (colour)
- #777777
- Grey
- Dark
- Nearest: Gray
#777777 is a grey with RGB values 119, 119, 119 and HSL 0°, 0%, 47%. It is a dark colour, so black text on it reaches 4.7:1 contrast (AA for normal text). The nearest named colour is Gray.
Colour values
#777777#777777
HEX#777777
HEX (short)#777
RGBrgb(119, 119, 119)
RGB (0–1)0.4667, 0.4667, 0.4667
RGB percentages46.7%, 46.7%, 46.7%
HSLhsl(0, 0%, 46.7%)
HSV / HSBhsv(0, 0%, 46.7%)
CMYK0%, 0%, 0%, 53.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer7,829,367
CSS custom property--colour: #777777;
Brightness & contrast
Relative luminance0.18447WCAG 2.x, 0 is black and 1 is white
Perceived brightness119 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundBlackcontrast 4.69:1
Contrast with white4.48:1WCAG normal text: Fail
Contrast with black4.69:1WCAG normal text: AA
Greyscale equivalent#777777
Inverted#888888
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text4.48:1WCAG large text: AA
Contrast with black, large text4.69:1WCAG large text: AAA
Named colours
Hue familygrey
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#777777
Analogous#777777, #777777
Triadic#777777, #777777
Split complementary#777777, #777777
Tetradic#777777, #777777, #777777
Tints, shades & saturation
Channel breakdown
R119
G119
B119
Red119 (46.7%)
Green119 (46.7%)
Blue119 (46.7%)
Hue0°
Saturation (HSL)0%
Lightness46.67%
Dominant channelNone: the channels are equal (a neutral grey)
Hex per channelR 77 · G 77 · B 77
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Harmonies
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