Recognised as Number
720,988
- Positive
- Even
- Composite
- 6 digits
720,988 is an even 6-digit integer and a composite number. It has 6 divisors and a digital root of 7.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value720,988
Digit count6
Digit sum34
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 180,247
Distinct prime factors22, 180,247
Number of divisors6
Sum of divisors σ(n)1,261,736
Aliquot sum540,748sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)360,492integers below n that share no factor with it
Carmichael function λ(n)180,246the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 360,492
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 180,247, 360,494, 720,9886 in total
Arithmetic
Representations
Decimal720,988
Binary1011000000000101110020 bits
Octal2600134
HexadecimalB005C
Base 36FGBG
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsseven hundred and twenty thousand, nine hundred and eighty-eight
Ordinalseven hundred and twenty thousand, nine hundred and eighty-eighth
Scientific notation7.20988 × 10^5
Engineering notation720.988 × 10^3
In other bases
Ternary1100122000021base 3; the most digit-efficient integer base after e: 13 digits
Quinary141032423base 5; one hand: 9 digits
Septenary6062002base 7: 7 digits
Nonary1318007base 9; each digit is two ternary digits: 7 digits
Duodecimal2a92a4base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal4a298base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal3:20:16:28base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1101T0T0001T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111110000000110101100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000010110000000001011100
Bit length20 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits13within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 19worth 524,288
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes30b 00 5c
Gray code11101000000001110010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000010110000000001011100
64-bit0000000000000000000000000000000000000000000010110000000001011100
One's complement11111111111101001111111110100011at 32 bits, every bit flipped
Bits reversed00111010000000001101000000000000at 32 bits
Rotated left by 100000000000101100000000010111000at 32 bits, wrapping
Shifted left by 1101100000000010111000= 1,441,976, no wrap
Shifted right by 11011000000000101110= 360,494, discarding the low bit
These bits as a double3.56215402 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
720,988 to the power 2519,823,696,144
720,988 to the power 3374,786,647,035,470,272
720,988 to the power 4270,216,675,072,809,640,468,736
720,988 to the power 5194,822,980,127,394,877,062,273,031,168
First ten multiples720,988, 1,441,976, 2,162,964, 2,883,952, 3,604,940, 4,325,928, 5,046,916, 5,767,904, 6,488,892, 7,209,880
Powers of twoBetween 2^19 (524,288) and 2^20 (1,048,576)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6No, remainder 4
Divisible by 7No, remainder 2
Divisible by 8No, remainder 4
Divisible by 9No, remainder 7
Divisible by 10No, remainder 8
Divisible by 11No, remainder 4
Divisible by 12No, remainder 4
Divisible by 100No, remainder 88
Collatz (3n + 1) trajectory
Steps to reach 1136the total stopping time
Highest value reached1,216,6721× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps720,988 → 360,494 → 180,247 → 540,742 → 270,371 → 811,114 → 405,557 → 1,216,672 → 608,336 → 304,168 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage72,098,800%
720,988% as a decimal7,209.88
720,988% of 100720,988
720,988% of 1,0007,209,880
As a fraction of 100720,988/100
Read another way
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Derived from 720,988
Also reads as
#720988 (colour)
- #720988
- Violet
- Dark
- Nearest: Purple
#720988 is a violet with RGB values 114, 9, 136 and HSL 290°, 88%, 28%. It is a dark colour, so white text on it reaches 10:1 contrast (AAA for normal text). The nearest named colour is Purple.
Colour values
#720988#720988
HEX#720988
RGBrgb(114, 9, 136)
RGB (0–1)0.4471, 0.0353, 0.5333
RGB percentages44.7%, 3.5%, 53.3%
HSLhsl(289.6, 87.6%, 28.4%)
HSV / HSBhsv(289.6, 93.4%, 53.3%)
CMYK16.2%, 93.4%, 0%, 46.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer7,473,544
CSS custom property--colour: #720988;
Brightness & contrast
Relative luminance0.0555WCAG 2.x, 0 is black and 1 is white
Perceived brightness77.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 9.95:1
Contrast with white9.95:1WCAG normal text: AAA
Contrast with black2.11:1WCAG normal text: Fail
Greyscale equivalent#282828
Inverted#8DF677
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text9.95:1WCAG large text: AAA
Contrast with black, large text2.11:1WCAG large text: Fail
Named colours
Hue familyviolet
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#1F8809
Analogous#330988, #88095E
Triadic#887209, #098872
Split complementary#5E8809, #098833
Tetradic#883309, #1F8809, #095E88
Tints, shades & saturation
Channel breakdown
R114
G9
B136
Red114 (44.7%)
Green9 (3.5%)
Blue136 (53.3%)
Hue289.61°
Saturation (HSL)87.59%
Lightness28.43%
Dominant channelBlue
Hex per channelR 72 · G 09 · B 88
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