Recognised as Number
788,000
- Positive
- Even
- Composite
- 6 digits
788,000 is an even 6-digit integer and a composite number. It has 48 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value788,000
Digit count6
Digit sum23
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^5 × 5^3 × 197
Distinct prime factors32, 5, 197
Number of divisors48
Sum of divisors σ(n)1,945,944
Aliquot sum1,157,944sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)313,600integers below n that share no factor with it
Carmichael function λ(n)9,800the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 313,600
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 197, 200, 250, 394, 400, 500, 788, 800, 985, 1,000, 1,576, 1,970, 2,000, 3,152, 3,940, 4,000, 4,925, 6,304, 7,880, 9,850, 15,760, 19,700, 24,625, 31,520, 39,400, 49,250, 78,800, 98,500, 157,600, 197,000, 394,000, 788,00048 in total
Arithmetic
Representations
Decimal788,000
Binary1100000001100010000020 bits
Octal3003040
HexadecimalC0620
Base 36GW0W
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsseven hundred and eighty-eight thousand
Ordinalseven hundred and eighty-eight thousandth
Scientific notation7.88 × 10^5
Engineering notation788 × 10^3
In other bases
Ternary1111000221012base 3; the most digit-efficient integer base after e: 13 digits
Quinary200204000base 5; one hand: 9 digits
Septenary6461243base 7: 7 digits
Nonary1430835base 9; each digit is two ternary digits: 7 digits
Duodecimal320028base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal4ia00base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal3:38:53:20base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary11110010T11TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111000001101001100000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000011000000011000100000
Bit length20 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits15within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 19worth 524,288
Lowest set bitbit 55 trailing zeros
Power of twoNo
Bytes30c 06 20
Gray code10100000010100110000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000011000000011000100000
64-bit0000000000000000000000000000000000000000000011000000011000100000
One's complement11111111111100111111100111011111at 32 bits, every bit flipped
Bits reversed00000100011000000011000000000000at 32 bits
Rotated left by 100000000000110000000110001000000at 32 bits, wrapping
Shifted left by 1110000000110001000000= 1,576,000, no wrap
Shifted right by 11100000001100010000= 394,000, discarding the low bit
These bits as a double3.89323729 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
788,000 to the power 2620,944,000,000
788,000 to the power 3489,303,872,000,000,000
788,000 to the power 4385,571,451,136,000,000,000,000
788,000 to the power 5303,830,303,495,168,000,000,000,000,000
First ten multiples788,000, 1,576,000, 2,364,000, 3,152,000, 3,940,000, 4,728,000, 5,516,000, 6,304,000, 7,092,000, 7,880,000
Powers of twoBetween 2^19 (524,288) and 2^20 (1,048,576)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 2
Divisible by 7No, remainder 3
Divisible by 8Yes
Divisible by 9No, remainder 5
Divisible by 10Yes
Divisible by 11No, remainder 4
Divisible by 12No, remainder 8
Divisible by 100Yes
Collatz (3n + 1) trajectory
Steps to reach 1118the total stopping time
Highest value reached788,000
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps788,000 → 394,000 → 197,000 → 98,500 → 49,250 → 24,625 → 73,876 → 36,938 → 18,469 → 55,408 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage78,800,000%
788,000% as a decimal7,880
788,000% of 100788,000
788,000% of 1,0007,880,000
As a fraction of 100788,000/100
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Derived from 788,000
Also reads as
#788000 (colour)
- #788000
- Yellow
- Dark
- Nearest: Olive
#788000 is a yellow with RGB values 120, 128, 0 and HSL 64°, 100%, 25%. It is a dark colour, so black text on it reaches 4.9:1 contrast (AA for normal text). The nearest named colour is Olive.
Colour values
#788000#788000
HEX#788000
RGBrgb(120, 128, 0)
RGB (0–1)0.4706, 0.502, 0
RGB percentages47.1%, 50.2%, 0%
HSLhsl(63.8, 100%, 25.1%)
HSV / HSBhsv(63.8, 100%, 50.2%)
CMYK6.3%, 0%, 100%, 49.8%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer7,897,088
CSS custom property--colour: #788000;
Brightness & contrast
Relative luminance0.19431WCAG 2.x, 0 is black and 1 is white
Perceived brightness118 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundBlackcontrast 4.89:1
Contrast with white4.3:1WCAG normal text: Fail
Contrast with black4.89:1WCAG normal text: AA
Greyscale equivalent#757575
Inverted#877FFF
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text4.3:1WCAG large text: AA
Contrast with black, large text4.89:1WCAG large text: AAA
Named colours
Hue familyyellow
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#080080
Analogous#804800, #388000
Triadic#007880, #800078
Split complementary#003880, #480080
Tetradic#008048, #080080, #800038
Tints, shades & saturation
Channel breakdown
R120
G128
B0
Red120 (47.1%)
Green128 (50.2%)
Blue0 (0%)
Hue63.75°
Saturation (HSL)100%
Lightness25.1%
Dominant channelGreen
Hex per channelR 78 · G 80 · B 00
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Harmonies
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