Recognised as Number
988,880
- Positive
- Even
- Composite
- 6 digits
988,880 is an even 6-digit integer and a composite number. It has 40 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value988,880
Digit count6
Digit sum41
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 factorisation2^4 × 5 × 47 × 263
Distinct prime factors42, 5, 47, 263
Number of divisors40
Sum of divisors σ(n)2,356,992
Aliquot sum1,368,112sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)385,664integers below n that share no factor with it
Carmichael function λ(n)12,052the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 385,664
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, 40, 47, 80, 94, 188, 235, 263, 376, 470, 526, 752, 940, 1,052, 1,315, 1,880, 2,104, 2,630, 3,760, 4,208, 5,260, 10,520, 12,361, 21,040, 24,722, 49,444, 61,805, 98,888, 123,610, 197,776, 247,220, 494,440, 988,88040 in total
Arithmetic
Representations
Decimal988,880
Binary1111000101101101000020 bits
Octal3613320
HexadecimalF16D0
Base 36L70W
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsnine hundred and eighty-eight thousand, eight hundred and eighty
Ordinalnine hundred and eighty-eight thousand, eight hundred and eightieth
Scientific notation9.8888 × 10^5
Engineering notation988.88 × 10^3
In other bases
Ternary1212020111012base 3; the most digit-efficient integer base after e: 13 digits
Quinary223121010base 5; one hand: 9 digits
Septenary11256014base 7: 8 digits
Nonary1766435base 9; each digit is two ternary digits: 7 digits
Duodecimal3b8328base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal63c40base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal4:34:41:20base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T0TT1T01111TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary100110110101111010000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000011110001011011010000
Bit length20 bitsto write the magnitude
Set bits10the population count, or Hamming weight
Zero bits10within that length
Bit parityeven10 set bits, so even; not the same as the number itself being even
Highest set bitbit 19worth 524,288
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes30f 16 d0
Gray code10001001110110111000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000011110001011011010000
64-bit0000000000000000000000000000000000000000000011110001011011010000
One's complement11111111111100001110100100101111at 32 bits, every bit flipped
Bits reversed00001011011010001111000000000000at 32 bits
Rotated left by 100000000000111100010110110100000at 32 bits, wrapping
Shifted left by 1111100010110110100000= 1,977,760, no wrap
Shifted right by 11111000101101101000= 494,440, discarding the low bit
These bits as a double4.88571636 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
988,880 to the power 2977,883,654,400
988,880 to the power 3967,009,588,163,072,000
988,880 to the power 4956,256,441,542,698,639,360,000
988,880 to the power 5945,622,869,912,743,830,490,316,800,000
First ten multiples988,880, 1,977,760, 2,966,640, 3,955,520, 4,944,400, 5,933,280, 6,922,160, 7,911,040, 8,899,920, 9,888,800
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 4
Divisible by 8Yes
Divisible by 9No, remainder 5
Divisible by 10Yes
Divisible by 11No, remainder 2
Divisible by 12No, remainder 8
Divisible by 100No, remainder 80
Collatz (3n + 1) trajectory
Steps to reach 164the total stopping time
Highest value reached988,880
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps988,880 → 494,440 → 247,220 → 123,610 → 61,805 → 185,416 → 92,708 → 46,354 → 23,177 → 69,532 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage98,888,000%
988,880% as a decimal9,888.8
988,880% of 100988,880
988,880% of 1,0009,888,800
As a fraction of 100988,880/100
Read another way
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Derived from 988,880
Also reads as
#988880 (colour)
- #988880
- Orange
- Dark
- Nearest: Gray
#988880 is a orange with RGB values 152, 136, 128 and HSL 20°, 10%, 55%. It is a dark colour, so black text on it reaches 6.2:1 contrast (AA for normal text). The nearest named colour is Gray.
Colour values
#988880#988880
HEX#988880
RGBrgb(152, 136, 128)
RGB (0–1)0.5961, 0.5333, 0.502
RGB percentages59.6%, 53.3%, 50.2%
HSLhsl(20, 10.4%, 54.9%)
HSV / HSBhsv(20, 15.8%, 59.6%)
CMYK0%, 10.5%, 15.8%, 40.4%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer9,996,416
CSS custom property--colour: #988880;
Brightness & contrast
Relative luminance0.25842WCAG 2.x, 0 is black and 1 is white
Perceived brightness140.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundBlackcontrast 6.17:1
Contrast with white3.4:1WCAG normal text: Fail
Contrast with black6.17:1WCAG normal text: AA
Greyscale equivalent#8B8B8B
Inverted#67777F
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text3.4:1WCAG large text: AA
Contrast with black, large text6.17:1WCAG large text: AAA
Named colours
Hue familyorange
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#809098
Analogous#988084, #989480
Triadic#809888, #888098
Split complementary#809894, #808498
Tetradic#849880, #809098, #948098
Tints, shades & saturation
Channel breakdown
R152
G136
B128
Red152 (59.6%)
Green136 (53.3%)
Blue128 (50.2%)
Hue20°
Saturation (HSL)10.43%
Lightness54.9%
Dominant channelRed
Hex per channelR 98 · G 88 · B 80
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